Bibliography of Philip J. Davis
Philip J. Davis is the sole author, except where otherwise indicated.
Abbreviations
ACM  Association for Computing Machinery
AMS  American Mathematical Society
MAA  Mathematical Association of America.
SIAM  Society for Industrial and Applied Mathematics
Books
 Uniqueness Classes for Sets of Linear Functionals,
Ph.D. thesis, Harvard University, 1950.
 The Lore of Large Numbers, New York: Random House, 1961. 165
pps.
 Interpolation and Approximation, New York: Blaisdell Pub. 1963.
xiv+393 pps.
Reprinted, Dover Publications, 1975.
 The Mathematics of Matrices: A First Book of Matrix Theory and
Linear Algebra,
New York, Blaisdell, 1965, xiii+348 pps.
Reprinted Malabar, Fla.: R.E. Krieger, 1984.
 Numerical Integration, by Philip Davis and Philip Rabinowitz
Waltham Mass.: Blaisdell Pub., 1967. ix+230 pps.
 3.1416 and all that by Philip Davis and William G. Chinn.
New York: Simon and Schuster, 1969.
Reprinted Boston: Birkhäuser, 1985.
 The Schwarz Function and its Applications, MAA, 1974. xi+228
pps.
 Methods of Numerical Integration, by Philip Davis
and Philip Rabinowitz.
New York: Academic Press, 1975. xii+459 pps.
Reprinted, Orlando: Academic Press, 1984.
Reprinted, Mineola, NY: Dover Publications, 2007.
 Circulant Matrices, New York: Wiley, 1979. xv+250 pps.
 The Thread: A Mathematical Yarn,
Boston: Birkhäuser, 1983. 126 pps.
Second edition: Orlando: Harcourt Brace Jovanovich, 1989. xv+124 pps.
An
excerpt
was published in
The TwoYear College Mathematics Journal
Vol. 14, No. 2 (Mar., 1983), pp. 98104
 The Mathematical Experience,, by Philip Davis and Reuben Hersh.
Boston: Birkhäuser, 1981. xix+440 pps.
Reprinted Boston: Houghton Mifflin, 1998.
Study edition, updated with epilogues,
by Philip Davis, Reuben Hersh and Elena Anne Marchisotto,
Birkhäuser 2012.
American Book Award, 1983.
An excerpt (p. 3443) was published under the title
``The ideal mathematician'' in
New directions in the philosophy of mathematics: An anthology
ed. Thomas Tymoczko, Boston: Birkhäuser, 1986 pp. 177184.
A Russian translation of this excerpt published in Priroda
No. 3, (1997), 126128.
 Descartes' Dream: The World according to
Mathematics, by Philip Davis and Reuben Hersh.
San Diego: Harcourt Brace Jovanovich: 1986. xvi+321 pps.
Reprinted Penguin, 1988.
Reprinted Mineola, NY: Dover Publications, 2006.

No Way: The Nature of the Impossible,
edited by David A. Park and Philip J. Davis.
New York: W.H. Freeman, 1987. xvi+325 pps.
 Thomas Gray: Philosopher Cat,
San Diego: Harcourt Brace Jovanovich: 1988.
 Thomas Gray in Copenhagen: in which the Philosopher Cat meets the
Ghost of Hans Christian Andersen,
New York: Copernicus, 1995.
 Spirals: From Theodorus to Chaos,
Wellesley, Mass.: A.K. Peters, 1993. vii+237 pps.
 Mathematical Encounters of the Second Kind,
Boston: Birkhäuser, 1997. viii+304 pps.
 The Education of a Mathematician,
Natick, Mass.: A.K. Peters,
2000. x+353 pps. Full Table of Contents
An excerpt under the title
Top o' the Morning to You, Prof. Synge
was published in SIAM News, September 17, 2000.
 Mathematics and Common Sense: A Case of Creative Tension,
Wellesley, Mass.: A.K. Peters, 2006. xlvi+242 pps.

Ancient Loons: Tales David Pingree Told Me,
CRC Press: An AK Peters Title, 2011.

Unity and Disunity and Other Mathematical Essays,
AMS: 2015

Mathematics, Substance and Surmise: Views on the Meaning and Ontology
of Mathematics
edited by Ernest Davis and Philip Davis, Springer, 2015.
Translations
 The Lore of Large Numbers
 (Japanese) Ookina Su
 (Swedish) De stora talens värld Stockholm: Prisma, 1964.
 (Italian) Il mondo dei grandi numeri. Bologna: Zanichelli, 1984.
 Methods of Numerical Integration
 (Japanese) Keisanki ni yoru suchi sekibunho ,

The Mathematical Experience
 (German) Erfahrung Mathematik,
Boston: Birkhäuser, 1985.
 (French) L'Univers mathématique,
Paris: GauthierVillars, 1985.
 (Portuguese) A experiencia matematica, Rio de Janeiro: F.
Alves, 1985.
 (Italian) L'espeirienza matematica: da Talete al computer ,
Milan: Edizioni di Comunita, 1985.
 (Japanese). Sugakuteki keiken, Tokyo: Morikita Shuppan, 1986.
 (French) L'Empire mathématique, Paris: Bordas, 1988.
 (Spanish) Experiencia matemática,
Madrid: Ministerio de Educacion, 1988.
 (Chinese) Shu xue jing yan, Nanjing: Jian su jiao yu chu
ban she, 1991.
 (Polish) Swiat matematyki, Warsaw: Naukowe PWN, 2001.
 (Turkish) Matematigin seyir defteri, Ankara: Doruk
Yayimcilik, 2003.
 (Croatian) Dozivljaj matematike, Zagreb: Tehnicka knjija, 2004.

Descartes' Dream
 (Dutch) Descartes' droom: een wiskundige visie op de wereld.
Amsterday: Contact, 1988.
 (German)
Descartes' Traum : über die Mathematisierung von Zeit und Raum 
von denkenden Computern, Politik und Liebe ,
Frankfurt am Main: Wolfgang Krüger Verlag, 1988.
 (Japanese) Dekaruto no yume, Tokyo: Asuki, 1988.
 (Portuguese) O Sonho de descartes o mundo de acordo com a
matematica, Rio de Janeiro, F. Alves, 1988.
 (Italian) Il sogno di Cartesio: il mondo secondo la matematica,
Milan: Edizioni di Comunita, 1988.

(Spanish) El sueno de Descartes: el mundo segun las matematicas.
Madrid: Ministerio de Educacion, 1989.

Thomas Gray, philosopher cat
 (German) Pembrokes Katze: die wundersame Geschichte über eine
philosophierende Katze, ein altes mathematisches Problem und die Liebe.
Frankfurt am Main: Fischer Taschenbuch, 1991.
 (Japanese)
Kenburijji no tetsugakusuru neko , Tokyo, Shakai Shisosha, 1992.
 (Czech) Filosofující kocka z Pembroke : o
spolupráci vysoce inteligentní kocky s mírne.
výstredním ucencem. Prague: NLN, 1994.
 Thomas Gray in Copenhagen

(German)
Magnifikatz : weitere Abenteuer von Pembrokes Katze Thomas Grey, die
in Kopenhagen dem Geist von Hans Christian Andersen begegnet,
Frankfurt am Main, FischerTaschenbuch, 1995.
Educational supplements

Teacher's manual for Philip J. Davis, The Mathematics of Matrices
by Philip Davis and Persis Redgrave.
New York: Blaisdell, 1965.

The Companion Guide
to The Mathematical Experience, study edition
by Philip Davis, Reuben Hersh and Elena Marchisotto.
Boston: Birkhäuser, 1995.
Mathematical papers

Consideration of Dynamic Loads on
the VerticaI Tail by the Theory of Flat Yawing
Maneuvers. John Boshar and Philip Davis, NACA Report 838, 1946.

Upper bound for an integral, (Solution to problem 4198, proposed by
C.D. Olds),
Philip Davis and A.M. Peiser,
The American Mathematical Monthly,
Vol. 54, No. 6 (Jun.  Jul., 1947), pp. 351352
 Some theorems for infinite systems of linear equations.
J. Indian Math. Soc. (N.S.) Vol. 14, 1950, 139155.

An Application of the Theory of Basic Series to Theorems of
BernsteinWidder Type.
American Journal of Mathematics,
Vol. 72, No. 4 (Oct., 1950), pp. 787791

A Theorem for Kernel Functions.
Philip Davis and Henry Pollak
Proc. AMS,
Vol. 2, No. 5 (Oct., 1951), pp. 686690

On the Zeros of Total Sets of Polynomials.
Philip Davis and Henry Pollak
Trans. AMS,
Vol. 72, No. 1 (Jan., 1952), pp. 82103

On an Equivalent Definition of the Transfinite Diameter.
Philip Davis and Henry Pollak
Proc. AMS,
Vol. 3, No. 1 (Feb., 1952), pp. 152155

An Application of Doubly Orthogonal Functions to a Problem of
Approximation in Two Regions.
Trans. AMS
Vol. 72, No. 1 (Jan., 1952), pp. 104137

On the Applicability of Linear Differential Operators of Infinite Order to
Functions of Class L^{2}(B).
American Journal of Mathematics,
Vol. 74, No. 2 (Apr., 1952), pp. 475491

Interpolation and orthonormal systems.
J. Walsh and Philip Davis.
Journal d'Analyse Mathématique,, Vol. 2, 1952, 128.

On Simple Quadratures.
Proc. AMS,
Vol. 4, No. 1 (Feb., 1953), pp. 127136

Linear functionals and analytic continuation problems.
Philip Davis and Henry Pollak,
Pacific J. Math. Volume 3, Number 1 (1953), 4772.

Completeness theorems for sets of differential operators.
Duke Math. J. Volume 20, Number 3 (1953), 345357.
 Errors of numerical approximation for analytic functions.
J. Rational Mechanics and Analysis, Vol. 2 (1953) 303313.

On Representations and Extensions of Bounded Linear Functionals Defined
on Classes of Analytic Functions.
Philip Davis and J. L. Walsh.
Trans. AMS,
Vol. 76, No. 2 (Mar., 1954), pp. 190206

Complex biorthogonality for certain sets of polynomials.
Philip Davis and Henry Pollak
Duke Math. J. Volume 21, Number 4 (1954), 653667.

Linear functional equations and interpolation series.
Pacific J. Math. Volume 4, Number 4 (1954), 503532.

A Multiple Purpose Orthonormalizing Code and its Uses.
Philip Davis and Philip Rabinowitz. 1954.
J. ACM Vol. 1, No. 4 (October 1954),

On a problem in the theory of mechanical quadratures,
Pacific J. Math., Vol. 1, Suppl. 1 (1955) 669674.

Complete sequences and approximations in normed linear spaces.
Philip Davis and Ky Fan,
Duke Mathematical Journal,
Vol. 24, No. 2 (1957) 183192.

Numerical computation of the transfinite diameter of two collinear line
segments.
J. Research National Bureau of Standards, Vol. 58 (1957), 155156.

On the Analytic Continuation of Mapping Functions.
Philip Davis and Henry Pollak.
Trans. AMS,
Vol. 87, No. 1 (Jan., 1958), pp. 198225
 On the numerical integration of periodic analytic functions. In
On numerical approximation: Proceedings of a Symposium, Madison,
April 2123, 1958. ed. R.E. Langer. U. Wisconsin Press, 1959, 4559.

Some SEAC Computations of Subsonic Fluid Flows by Bergman's Method of
Integral
Operators, by Philip Davis and Philip Rabinowitz, in:
Bergman's Linear Integral
Operator Method in theTheory of Compressible Fluid Flow.
by M.Z. v. Krzywoblocki, SpringerVerlag, Wien, 1960, Appendix.
 Advances in orthonormalizing computation,
by Philip Rabinowitz and Philip J. Davis,
Advances in Computers, Vol. 2
New York:Academic Press (1961) 55133
 Bound for the Pcondition number of matrices with positive roots,
by Philip J. Davis, Emilie Haynsworth, and Marvin Marcus.
J. Research National Bureau of Standards Sect. B,
Vol. 65B (1961) 1314.
 Orthonormalizing codes in numerical analysis. In
Survey of numerical analysis, ed. John Todd,
New York: McGrawHill 1962, 347379.
 Errors of numerical approximation for analytic functions.
Survey of numerical analysis, ed. John Todd,
New York: McGrawHill 1962, 468484.

Packing inequalities for circles.
Michigan Math. J., Vol. 19, Iss. 1 (1963), 2531.

The Gamma Function and Related Functions. In
The Handbook of Mathematical Functions, with Formulas, Graphs, and
Mathematical Tables,
ed. Milton Abramowitz and Irene A. Stegun
(the big red book), NBS Applied Mathematics Series 55, National Bureau of
Standards, Washington DC, 1964.

Numerical Interpolation, Differentiation, and Integration,
Philip J. Davis and Ivan Polonsky,
The Handbook of Mathematical Functions, with Formulas, Graphs, and
Mathematical Tables,
ed. Milton Abramowitz and Irene A. Stegun, 1964.

Triangle Formulas in the Complex Plane.
Mathematics of Computation,
Vol. 18, No. 88 (Oct., 1964), pp. 569577

Ignoring the Singularity in Approximate Integration.
Philip J. Davis and Philip Rabinowitz
J. SIAM,
Series B, Numerical Analysis
Vol. 2, No. 3 (1965), pp. 367383

Simple Quadratures in the Complex Plane,
Pacific J. Math., Vol. 15, No. 3 (1965) 813824.

A Complex Pompeiu Problem Richard DeMar and Philip Davis
Duke Mathematical Journal, Vol. 33, No. 1, (1966) 91101.

A Construction of Nonnegative Approximate Quadratures.
Mathematics of Computation,
Vol. 21, No. 100 (Oct., 1967), pp. 578582
 Semidense closure of systems of functions.
Duke Mathematical J., Vol. 35, (1968) 91101.

Additional simple quadratures in the complex plane.
Aequationes Math. Vol. 3, 1969, 149155.
Abstract in
Aequationes Math. Vol. 1, No. 3, 1968, 312.

Double integrals expressed as single integrals or interpolatory
functionals.
J. Approximation Theory, Vol. 5 (1972), 276307.

Cyclic transformations of polygons and the generalized inverse.
Canadian Journal of Math., Vol. 29 (1977), 756770.

Proof, completeness, transcendentals, and sampling.
J. ACM, Vol. 24, no. 2, (1977) 298310.

Plane regions determined by complex moments.
J. Approximation Theory, Vol. 19, no. 2 (1977), 148153.

Centralizers and circulants. Division of Applied Mathematics, Providence,
RI 1978.

Cyclic transformations of ngons and related quadratic
forms,
Linear Algebra Appl., Vol. 25 (1979) 5775.

Minkowski iteration of sets,
by Igor Najfeld, Richard Vitale, and Philip Davis,
Linear Algebra Appl., Vol. 29 (1980) 259291.

On the selection of test data for recursive mathematical subroutines,
by John H. Rowland and Philip J. Davis,
SIAM J. Computing, Vol. 10 no. 1, 1981, 5972.

On the use of transcendentals for program testing,
by John H. Rowland and Philip J. Davis,
J. ACM Vol. 28, No. 1 (1981) 181190.

Iterative Processes in Elementary Geometry,
GengZhe Chang and Philip J. Davis,
The American Mathematical Monthly,
Vol. 90, No. 7 (Aug.  Sep., 1983), pp. 421

A circulant formulation of the NapoleonDouglasNeumann theorem,
by GangZhe Chang and Philip J. Davis,
Linear Algebra Appl. Vol. 54, (1983) 8795.

The convexity of Bernstein polynomials over triangles.
by GangZhe Chang and Philip J. Davis,
J. Approximation Theory, Vol. 40 No. 1 (1984) 1128.

Group matrices for the quaternion and generalized dihedral groups, by
K. Wang and Philip J. Davis. Computers and Mathematics with
Applications. Part B Vol. 12,
No. 56, (1986) pp. 12971301.

Equisum matrices and their permanence,
by Philip J. Davis and Igor Najfeld, Quart. Appl. Math.
Vol. 58, no. 1 (2000) 15169.
Essays

Leonhard Euler's Integral: A Historical Profile of the Gamma Function:
In Memoriam: Milton Abramowitz.
The American Mathematical Monthly,
Vol. 66, No. 10 (Dec., 1959), pp. 849869.
Reprinted in The Genius of Euler: Reflection on his life and work,
ed. William Dunham, 2007.
MAA Chauvenet Prize, 1963.
 The Criterion Makers: Mathematics and Social Policy.
American Scientist 50:254A, 1962.

The Lonesome Pine Foundation. Harper's Magazine.
August 1964.

Number.
Scientific American
Vol. 211 (September 1964), 5059.
 Approximation theory in the first two decades of electronic computers.
Approximation of Functions (Proc. Sympos. General Motors Research
Lab. 1964) Amsterdam: Elsevier, 1965, 152163.
 Numerical analysis. In The Mathematical Sciences: A Collection
of Essays, ed. George A.W. Boehm, 1969.
 The Makefile 7 Pensees: Religious Thoughts Aroused by an Encounter with an
Automatic Typist., Brown Alumni Monthly, October, 1972.
 Left Lib, Right Lib. The National Review. January 5, 1973.
Vol. 25 No. 1, pp 32,45.

Fidelity in mathematical discourse: Is one and one really two?
American Mathematical Monthly, Vol. 79 (1972) 252263.
Reprinted in
New directions in the philosophy of mathematics: An anthology
ed. Thomas Tymoczko, Boston:Birkhäuser, 1986 pp. 163175.
 Visual geometry, computer graphics, and theorems of perceived type,
Proceedings of Symposia in Applied Mathematics, 20,
1974, 113127,

Nonanalytic Aspects of Mathematics and Their Implication for Research
and Education,
Philip J. Davis and James A. Anderson,
SIAM Review,
Vol. 21, No. 1 (Jan., 1979), pp. 112127

Mathematics by Fiat?
The TwoYear College Mathematics Journal,
Vol. 11, No. 4 (Sep., 1980), pp. 255263

Are There Coincidences in Mathematics?
The American Mathematical Monthly,
Vol. 88, No. 5 (May, 1981), pp. 311320

Toward a Philosophy of Computation,
For the Learning of Mathematics
Vol. 3, No. 1 (Jul., 1982), pp. 25
 Of Time and Mathematics, Franklin Lecture, Auburn University,
Southern Humanities Review, vol. 18, (1983) 193202.
 Metrics:Kilometers To Go Before It Sleeps, Mechanical Engineering
vol. 105, August 1983, p. 27.

What Do I Know? A Study of Mathematical SelfAwareness.
The College Mathematics Journal,
Vol. 16, No. 1 (Jan., 1985), pp. 2241
 Reflections on Writing the History of Mathematics. Introduction to
Mathematical People, ed. D.J. Albers and G.L. Alexanderson,
Birkhäuser, 1985.

When Mathematics Says No.
Mathematics Magazine,
Vol. 59, No. 2 (Apr., 1986), pp. 6776. Reprinted in No Way.
 Rhetoric and Mathematics, by Philip Davis and Reuben Hersh, in
The Rhetoric of the Human Sciences ed. Nelson, Megill, and
McCloskey, U. Wisconsin Press, 1987, pp. 5368
 Commentary: The Tower of Mathematical Babel, SIAM News,
November 1987
(20:6)

Commentary: The State and Dreams of Numerical Analysis (With Some
Recollections of Rods and Bones), SIAM News, May 1988 (21:3)

Article: Birthday Thoughts: AMS's One Hundredth, SIAM News,
(21:5)

Commentary: Shall We Raise Native Mathematicians in a Fish Pond?
SIAM News, November 1988 (21:6)

Applied Mathematics as Social Contract
Mathematics Magazine,
Vol. 61, No. 3 (Jun., 1988), pp. 139147.
Bulgarian translation published in
Fiz.Mat. Spis. Bulgar. Akad. Nauk. Vol. 32(65) No. 4 (1990),
297306.

Commentary: CAGD Is This Stuff Really Geometry? SIAM News,
January 1990
(23:1)

Commentary: What Are Mathematical Colloquia For? SIAM News, March
1990
(23/2)

Article: Kikiri ki! Let's hear it for Dagstuhl!
SIAM News, May 1992 (25:3)
 Article: Confessions of a Calculus Cop out, SIAM News,
September 1992 (25:5)

Commentary: American Colleges: Basket Cases or Examples of National Style?
SIAM News, March 1993 (26:2)

Commentary: Mathematics and the Media, with Bernhelm Booss Bavnbek,
SIAM News, May 1993 (26:3)

What Should the Public Know about Mathematics?
Daedalus,
Vol. 121, No. 1, A New Era in Computation
ed. N. Metropolis and
GianCarlo Rota, (Winter, 1992), pp. 131138.
Published MIT Press, 1993.

Visual Theorems.
Educational Studies in Mathematics,
Vol. 24, No. 4, Aspects of Proof (1993), pp. 333344
 Humanistic Aspects of Mathematics and their Importance. In
Essays in Humanistic Mathematics, ed. Alvin M. White, 1993, 910.
 Thirty Years after the Two Culture Controversy: A Mathematician's View.
In
Essays in Humanistic Mathematics, ed. Alvin M. White, 1993, 7990.

Commentary: Variety in a Mathematical Career: From Manifolds to
Management, SIAM News, November 1993 (26:7)
 Mathematics and Art: Cold Calipers against Warm Flesh? In
Mathematics, Education, and Philosophy, ed. Paul Ernest,
1994, pp. 165183.

Otto Neugebauer: Reminiscences and Appreciation.
The American Mathematical Monthly,
Vol. 101, No. 2 (Feb., 1994), pp. 129131
 Article: The Courts Count: Mathematics and the Law, SIAM
News, April 1994 (27:4)

The Prenatal Days of SIAM: Reminiscence and Tribute to I.E. Block,
SIAM NEWS Aug/Sept 1994, Vol 27 No 7

The Rise, Fall, and Possible Transfiguration of Triangle Geometry: A
MiniHistory.
The American Mathematical Monthly,
Vol. 102, No. 3 (Mar., 1995), pp. 204214

Commentary: Entertainment: New Engine of Technological Progress? SIAM
News, October 1995 (28:8)

Mathematics and common sense: What is their relationship?
SIAM News Letters, Vol. 28, No. 9, (1995) p. 7
Translation in Czech published in Pokroky Mat. Fyz. Astronom.
Vol. 41, No. 5, (1996) 253256.

Article: Numerical Life at the Dawn of the Digital Computer Era, SIAM
News, April 1996 (29:3)

Big QuestionsBig PrinciplesBig Fiction? A discussion of the type of
books that focused on BIG topics, SIAM News, December 1996
(29:10)

Commentary: Voices from Vienna, SIAM News, May 1997 (30:4)

Commentary: Reviewing the Review Situation: There Ought To Be a Better
Way, SIAM News, June 1997 (30:5)

The Prospects for Mathematics in a MultiMedia Civilization,
Urania Thater, Berlin, August 21, 1998.
Humanistic Mathematics Network Journal Vol. 19. 1999, 2028.
Reprinted in The Best Writings on Mathematics, 2013 ed. Mercea
Pitici, Roger Penrose, pp. 122.
German translation:
Ein Blick in die Zukunft: Mathematik in einer MultimediaZivilisation.
Alles Mathematik, 285293, Vieweg, Braunschweig, 2000.

The Paradox of "Hitting It Big"
SIAM News,
January 8, 1998

Snapshots of a Lively Character: Mary Lucy Cartwright, 19001998
SIAM News,
July 15, 1998

Richard Hamming: An Outspoken TechnoRealist
SIAM News,
November 16, 1998

Impressions of the International Congress of Mathematicians
SIAM News,
October 15, 1998

What's in It for Women? What's in Them for Math?
SIAM News,
November 1, 1999

Connections, Connections, Connections
SIAM News,
December 7, 1999

Etz Hayyim, Chania, Crete, Greece. Jewish Spectator, Winter, 2000
2122.

Numerical Life at the Dawn of the Digital Computer Era
SIAM News,
April 1996. Reprinted
SIAM News,
March 16, 2000

One Million Bucks for a 100% Solution
SIAM News,
October 21, 2000

Count, Recount, and Fuzzy Math ,
SIAM News, January 9, 2001.

Naive Thoughts on the Paradox of Gödel.
Humanistic Mathematics Network Journal, May 2001, 1120.
Österreichisches Symposion zur Geschichte der Mathematik, 2004, 94103.

Congrats, Jack! Reminiscences and Appreciation
[On John Todd's 80th birthday]
SIAM News, July 10, 2001.

Paraconsistent thoughts about consistency
The Mathematical Intelligencer, Vol. 24, No. 4, (2002) 35.

Mathematics Is Not Required.
For the Learning of Mathematics,
Vol. 23, No. 1 (Mar., 2003), pp. 4142

Mathematics and Hocus Pocus.
SIAM News,
January 30, 2003

SIAM Conference on CS&E: John von Neumann at 100: SIAM Celebrates a Rich Legacy.
May 30, 2003.

A Letter to Christina of Denmark,
Newsletter of the European Mathematical Society, March 2004, 2124.
 Mathematics is a multisemiotic enterprise.
Österreichisches Symposion zur Geschichte der Mathematik, 2004, 88103.

A Brief Look at Mathematics and Theology,
The Humanistic Mathematics Network Journal Online, vol. 27, 2004.

Happy 80th, Ulf!
SIAM News,
September 26, 2004

Mathematical Exhibitions: Reactions and Concerns.
SIAM News,
December 1, 2005

How I Established the Museum of Philosophy. In Educational
Transformations: Changing our Lives through Mathematics. A Tribute
to Stephen Ira Brown, ed. Frances Rosamond and Larry Copes, 2006,
524528.

Representing George W. Mackey (19162006).
SIAM News,
September 24, 2006

The Media and Mathematics Look at Each Other.
Notices of the AMS, March 2006.
Reprinted in Mathematisation and Demathematisation: Social,
Philosophical, and Educational Ramifications. ed. Uwe Gellert
and Eva Jablonka. 2007. pp 187196.
Österreichisches Symposion zur Geschichte der Mathematik, 2006, 122128.

Crossword Puzzles Under Evolutionary Stress.
SIAM News,
August 7, 2007

Otto Neugebauer raps my knuckles,
The Mathematical Intelligencer, Vol. 29 No. 2 (2007) 1617.

Remembering Philip Rabinowitz.
Philip J. Davis and Aviezri Fraenkel,
Notices of the AMS, Vol. 54 No. 11 (2007) 15021506.
Reprinted in
The Birth of Numerical Analysis,
ed. Adhemar Bultheel and Ronald Cools,
Hackensack, NJ: World Scientific, 2010, 179186.

Remembering John Todd,
SIAM News, December 17, 2007.

Oswald Spengler's Mathematics Considered and a Phoenix Reborn.
Newsletter of the European Mathematical Society, March 2008,
1927.

Will a Kiss Remain a Kiss?
SIAM News,
April 12, 2008

Jurimath: The Flowering of an Ancient Field.
SIAM News, May 18, 2008.

Updating "Abramowitz and Stegun".
SIAM News,
September 24, 2008

Why I am a (Moderate) Social Constructivist. (Part of the article
``On Platonism'' by David Mumford and Philip Davis.)
Newsletter of the European Mathematical Society, Vol. 70, December 2008.
 When is a problem solved? In
Proof and other dilemmas: Mathematics and Philosophy
ed. Bonnie Gold and Roger Simons, Washington D.C.: MAA 2008.

Henri's crystal ball. Philip J. Davis and David Mumford.
Notices AMS, Vol. 55, No. 4, (2008) 458466.
Translated into Chinese in Collection of Mathematical Translations,
vol. 1, 2009, 8494.
 My early experiences with scientific computation. In
The Birth of Numerical Analysis,
ed. Adhemar Bultheel and Ronald Cools,
Hackensack, NJ: World Scientific, 2010, 187192.
 Bridging the Two Cultures: Paul Valéry and His Mathematics,
Svenska Matematikersamfundet Medlemsutskicket, 15 May, 2009.
Reprinted in: The Best Writing on Mathematics 2010, ed. Mircea
Pitici, 2010.

Mathematical rejections.
European Mathematical Society Newsletter, No. 75, March, 2010.
2729.

Entropy and Society: Can the Physical/Mathematical Notions of Entropy
be Usefully Imported into the Social Sphere?
Journal of Humanistic Mathematics, Vol. 1 No. 1, 2011.
 Foreword to Fascinating Mathematical People ed. Donald Albers
and Gerald Alexanderson, 2011.
 Unity and Disunity in Mathematics, by Bernhelm BoossBavnbek and Philip J.
Davis, Newsletter of the European Mathematical
Sociey No. 87, March 2013.

Unity in Major
Themes Convergence vs. Arbitrariness in the Development of Mathematics, by
Bernhelm BoossBavnbek and Philip J. Davis,
XI Osterreichisches Symposion zur Geschichte der Mathematik, April 2012

The relevance of the irrelevant beginning,
ScienceOpen Research, 2014.

Mathematical Products. In
Mathematics, Substance and Surmise. 2015.
Book reviews

Review of
Differential operators and differential equations of infinite order
with constant coefficients. Researches in connection with integral
functions of finite order, by
P. C. Sikkema,
Bull. AMS Volume 60, Number 6 (1954), 586.

Review of Numerical Analysis by K.S. Kunz,
Bull. AMS Vol. 64 No. 3, Part I (1958) 112113.

Review
of Numerical Analysis by D. R. Hartree,
The American Mathematical Monthly,
Vol. 66, No. 7 (Aug.  Sep., 1959), pp. 600601

Review of
Numerical Methods for Scientists and Engineers, by R. W. Hamming,
The American Mathematical Monthly,
Vol. 70, No. 2 (Feb., 1963), p. 229
 Recent Publications: Numerical Methods for Scientists and Engineers
American Mathematical Monthly, Vol. 70 No. 2 (1963) 229.

Review of
Elements of the Theory of Functions, by R. S. Guter et al.,
Mathematics of Computation,
Vol. 22, No. 101 (Jan., 1968), pp. 212213

Review of
Infinity and the Mind. The Science and Philosophy of the Infinite,
by Rudy Rucker,
The American Mathematical Monthly
Vol. 91, No. 2 (Feb., 1984), p. 152

Review of
The Paradoxicon, by Nicholas Falletta,
American Scientist,
Vol. 72, No. 5 (SeptemberOctober 1984), p. 524
 Handling the Information Onslaught, Review of
Science, Computers, and the Information OnslaughtA Collection of
Essays edited by Donald M. Derr, et al., SIAM News,
November 1985 (18:6)

Review of
Mathematics: People, Problems, Results,
by Douglas M. Campbell and John C. Higgins.
The College Mathematics Journal,
Vol. 17, No. 1 (Jan., 1986), pp. 108109
 Review of Black Mischief: The Mechanics of Modern Science,
by David
Berlinski, SIAM News, November 1986 (19:6)
 Giving Sophie a Grade, Review of A Convergence of Lives,
by Anne Hibner Koblitz, SIAM News, January 1987 (20:1)
 Review of An Atlas of Function, by Jerome Spanier and Keith
B. Oldham, SIAM News, May 1987 (20:3)
 The Imagination That Burned, Review of Science, Computers and
People from the Tree of Mathematics, by Stanislaw Ulam, edited by
Mark Reynolds and GianCarlo Rota, SIAM News, September 1987
(20:5)

What Is a Successful Predictor? Review of Datawars: The Politics of
Modeling in Federal Policymaking by K.L. Kraemer et al., SIAM
News, January 1988 (21:1)
 Is the Road to Geometry Paved with Polyhedra? Review of Shaping
Space: A Polyhedral Approach, edited by Marjorie Senechal and George
Fleck, SIAM News, July 1988 (21:4)

Review of Perturbation Bounds for Matrix Eigenvalues,
by Rajendra Bhatia,
SIAM Review,
Vol. 31, No. 1 (Mar., 1989), p. 133

Math and Society: From Tare and Tret to Plastic Money. Review of
Capitalism and Arithmetic: The new Math of the Fifteenth
Century, by Frank
J. Swetz, SIAM News, January 1989 (22:1)
 Profscam: The Golden Fleece, Recombed. Review of Profscam:
Professors and the Demise of Higher Education by Charles J. Sykes,
SIAM News, May 1989 (22:3)
 Has NCTM Set the Cart Before the Horse? Standards. Review of
Curriculum and Evaluation Standards for School Mathematics, by
the National Council of Teachers of Mathematics, SIAM News,
September 1989 (22:5)
 I've Got a Shoe  Who's Got a Foot? Applied Mathematics Off the
Rack. Review of Symmetries of Culture. Practice of Plane Pattern
Analysis by Dorothy K. Washburn and Donald W. Crow, SIAM
News, November 1989 (22:6)

Perfect Health for All, Review of What Kind of Life: The Limits of
Medical
Progressi by Daniel Callahan, SIAM News, May 1990 (23:3)

Inside Roger Penrose, Review of The Emperor's New Mind by Roger
Penrose,
SIAM News, July 1990 (23/4)

The Mathematization of Reason, review of Classical Probability in the
Enlightenment by Lorraine Daston, SIAM News, November 1990
(23:6)

The Crisis in Mathematical Education  Salvation from Within? Review of
On
the Shoulders of Giants: New Approaches to Numeracy edited by Lynn
Arthur
Steen, SIAM News, January 1991 (24:1)

Adjective Into Man: The Case of Joseph Liouville, Review of Joseph
Liouville 18091882: Master of Pure and Applied Mathematics, by
Jesper
Lützen, SIAM News, March 1991 (24:2)
 Between Hope and Accomplishment, Review of Searching for
Certainty: What Scientists Can Know About the Future by John L.
Casti, SIAM News, May 1991 (24:3)

Mathematics and Economic Competitiveness, Review of Mathematical
Sciences,
Technology, and Economic Competitiveness edited by James G. Glimm,
SIAM
News, July 1991 (24:4)

The Inside and the Outside, Review of The Philosophy of Mathematics
Education by Paul Ernest, SIAM News, September 1991 (24:5)
 Mathematics as Grand Opera, Video review of Not Kind edited
by Charlie Gunn and Delle Maxwell, SIAM News, November 1991
(24:6)

Ramanujan: Magician or Transcendental Professional? Review of
The Man Who
Knew Infinity by Robert Kanigel, SIAM News, January 1992
(25:1)
 Pushing Toward Multicentrism, review of Ethnomathematics: A
Multicultural View of Mathematical Ideas by Marsha Ascher and The
Crest of the Peacock: NonEuropean Roots of Mathematics by George G.
Joseph, SIAM News, March 1992 (25:2)

Toward a Softer, Much Less Invasive Technology, Review of
Computing: A
Human Activity by Peter Naur, SIAM News, July 1992 (25:4)

Compare and Contrast: Sir John Herschel and Freeman Dyson, Review of
Infinite in All Directions by Freeman Dyson, SIAM News,
January 1993 (26:1)

Passion and Structure, Review of Politics, Logic, and Love: The
Life of Jean van Heijenoort by Anita Burdman Feferman, SIAM
News, May 1993 (26:3)

Applied Mathematician in the White House? Review of Thomas Jefferson:
Statesman of Science by Silvio A. Bedini, SIAM News, August
1993 (26:5)

The Sinister Genius of Charles Sanders Peirce, Review of Charles
Sanders Peirce: A Life by Joseph Brent, SIAM News, October
1993 (26:6)

Chaos and the New Understanding, Review of In the Wake of Chaos
by Stephen
H. Kellert, SIAM News, February 1994 (27:2)
 Mathematics and Art: The Work of Helaman Ferguson, Review of
Helaman Ferguson: Mathematics in Stone and Bronze, photographs of
sculpture by Helaman Ferguson and text by Claire Ferguson, SIAM
News, May/June 1994 (27:5)

Russell's Real Paradox: The Wise Man Is a Fool, Review of
Bertrand
Russell: A Life by Caroline Moorhead, SIAM News, July 1994
(27:6)

Mathematics and Gambling, Review of Legalized Gambling as a Strategy
for
Economic Development by Robert Goodman, SIAM News, October
1994 (27:8)

The Economist as Bankrupt, Review of Irving Fisher: A Biography
by Robert
Loring Allen, SIAM News, November 1994 (27:9)

What Is the Law and Who Profits? Review of Who Owns Information? From
Privacy to Public Access by Anne Wells Branscomb, SIAM News,
December 1994 (27:10)

Modesty Is Not a Virtue: Norbert Wiener, Review of Norbert
Wiener: 18941964 by Pesi R. Masani and Invention: The Care and
Feeding of Ideas by Norbert Wiener (foreword by Steve J. Heims),
SIAM News, February 1995 (28:2)
 Visual Verses Linguistic/Symbolic Understanding, Review of
Invention and Evolution: Design in Nature and Engineering, 2nd
edition, by Michael French, SIAM News, March 1995 (28:3)

Crossword Puzzles in an Information Saturated Age, review of
The Standard
American Heritage Dictionary, 3rd edition, SIAM News, April
1995 (28:4)

What is Rational? What is Human? review of Being Digital by
Nicholas
Negroponte and Powers of the Rational: Science, Technology and the
Future
of Thought by Dominique Janicaud, SIAM News,
August/September 1995 (28:7)

Paul Feyerabend: Philosopher or Crank? Review of Killing Time: The
Autobiography of Paul Feyerabend, SIAM News, December 1995
(28:10)

Newton and the Science of Government, Review of Science and the
Founding
Fathers: Science in the Political Thought of Jefferson, Franklin, Adams,
and Madison by I. Bernard Cohen, SIAM News, January/February
1996 (29:1)

"I'm not a Luddite, but . . ." Review of The Gutenberg Elegies: The
Fate
of Reading in an Electronic Age by Sven Birkerts, SIAM News, March
1996
(29:2)

Infoglut and Its Discontents, Review of
Technopoly: The Surrender of
Culture to Technology by Neil Postman, SIAM News, May 1996
(29:4)
 The Reluctant Miller's Tale:
A Major Mathematical Mystery, Review of
George Green: Mathematician and Physicist, 17931841: The Background
to his Life and Work by D.M. Cannell, SIAM News, July/August
1996 (29:6)
 The Little Math That Wouldn't, Review of Math Curse by Jon
Scieszka and
Lane Smith, SIAM News, September 1996 (29:7)
 Weather, War and Mathematics, Review of The Forgiving Air:
Understanding Environmental Change by Richard C.J. Somerville,
The Collected Papers of Lewis Fry Richardson edited by Oliver M.
Ashford et al., and Prophet or Professor? The Life and Work of Lewis
Fry Richardson by Oliver M. Ashford, SIAM News, November
1996 (29:9)

Rota's Mathematical World, Review of Indiscrete Thoughts by
GianCarlo
Rota, SIAM News, April 1997 (30:3)

They're Voting with Their Feet, review of Talking About Leaving: Why
Undergraduates Leave the Sciences by Elaine Seymour and Nancy M.
Hewitt,
SIAM News, July/August 1997 (30:6)

The "Here" and the "There" of Mathematics: Kurt Gödel, Review of
Logical
Dilemmas: The Life and Work of Kurt Gödel by John W. Dawson, Jr.,
SIAM News, October 1997 (30:8)
 Mathematics in an Age of Illiteracy,
Review of The Civilization of Illiteracy,
Mihai Nadin,
SIAM NEWS Vol. 30, No.9, November, 1997.

What's Modern About Mathematics? Review of The First Moderns: Profiles
in
the Origins of TwentiethCentury Thought by William R. Everdell,
SIAM
News, December 1997 (30:10)

Deus Ex Hominibus:Science, Theology, and Masculinity.
Review of Pythagoras' Trousers: God, Physics, and the Gender Wars
by Margaret Wertheim,
SIAM News,
March 8, 1998

Mickey Flies the Stealth.
Review of Modeling and Simulation: Linking Entertainment
and Defense. A Report of the National Research Council.
SIAM News,
April 14, 1998.
Reprinted in
Mathematics and War, ed.
Bernhelm BoossBavnbek and Jen Hoyrup.
Birkhäuser, 2003.

Art Meets Market Research: What's Rembrandt's Rating?
Review of Painting By Numbers: Komar and Melamid's Scientific
Guide to Art
by JoAnn Wypijewski.
SIAM News,
May 14, 1998

Education for What? A Very Good Question.
Review of Education for What? The New Office Economy. By Anthony P.
Carnavale and Stephen J. Rose.
SIAM News,
June 15, 1998

Beyond the Pillars of Hercules: Soft Mathematics.
Review of Goodbye Descartes: The End of Logic and the Search for
a New Cosmology of the Mind by Keith Devlin.
SIAM News,
December 16, 1998

Why Does a Public that Hates Numbers Put Up with So Many Numbers?
Review of The Measure of Reality: Quantification
and Western Society, by Alfred W. Crosby and
Trust in Numbers: The Pursuit of Objectivity in Science and
Public Life, by Theodore M. Porter.
SIAM News,
January 22, 1999.

Testing: One, Two, Three; Testing: One, . . . Can You Hear Me Back There?
Review of
Executive Summary, Third International Mathematics and Science Study
(TIMSS). By William Schmidt;
A TIMSS Primer: Lessons and Implications for U.S. Education.
By Harold W. Stevenson;
The Rationality and Irrationality of International Comparative Studies.
By Christine Keitel and Jeremy Kilpatrick;
and Tinkering with TIMSS. By Gerald W. Bracey,
SIAM News,
March 22, 1999

Mathematics for Poets: A Poet's Version.
Review of Drawbridge Up: Mathematics  A Cultural Anathema, and
The Number Devil: A Mathematical Adventure "Zugbruecke Ausser
Betrieb." By Hans Magnus Enzensberger
SIAM News,
April 22, 1999

The One State and Its Discontents.
Review of We by Yevgeny Zamyatin.
SIAM News,
May 22, 1999

The Unbearable Objectivity of the Positive Integers.
Review of 1,000 Years, 1,000 People: Ranking the Men and Women
Who Shaped the Millenium, by Agnes Hooper Gottlieb et al.
SIAM News,
June 23, 1999

From Computer Graphics Toward Computer Art.
Review of The Computer in the Visual Arts.
by Anne Morgan Spalter;
Graphica 1: The Imaginary Made Real: The Art of
Michael Trott. The World of Mathematica Graphics.
and
Graphica 2: The Pattern of Beauty: The Art of Igor Bakshee,
The World of Mathematica Graphics.
SIAM News,
July 23, 1999

The Aesthetic Impulse in Science and MathematicsMerely a Matter of Words?
Review of Beauty and Revolution in Science.
By James W. McAllister; and
"The Phenomenology of Mathematical Beauty." By GianCarlo Rota.
SIAM News,
October 1, 1999

Is Pi in the Sky? Where Do You Stand on the Question?
Review of The Social Construction of What? By Ian Hacking
SIAM News,
January 14, 2000

Of Making Compilations There Is No End.
Review of CRC Concise Encyclopedia of Mathematics.
By Eric W. Weisstein
SIAM News,
March 15, 2000

AllOr Nothing at All.
Review of Uncle Petros and Goldbach's Conjecture.
By Apostolos Doxiadis.
SIAM News,
April 16, 2000

Is It Boole that Makes The World Go Round?
Review of
The Advent of the Algorithm: The Idea that Rules the World
by David Berlinski.
SIAM News,
May 16, 2000

Astrology: Early Applied Mathematics?
Review of
Cardano's Cosmos: The Worlds and Works of a Renaissance Astrologer...
by Anthony Grafton.
SIAM News,
June 17, 2000

The Sayings of the FathersAnd Several Mothers.
Review of Mathematics: Frontiers and Perspectives,
ed. V. Arnold et al.,
SIAM News,
July 17, 2000

Embedding Zero in Exposition.
Review of The Nothing That Is: A Natural History of Zero.
By Robert Kaplan,
SIAM News,
September 17, 2000

Four ThousandOr Possibly Thirtyseven ThousandYears of Mathematics.
Review of The Norton History of the Mathematical Sciences:
The Rainbow of Mathematics, by Ivor GrattanGuinness.
SIAM News,
November 21, 2000

Slash and Dash in Cyberland.
Review of
Cyberselfish: A Critical Romp Through the Terribly Libertarian Culture
of High Tech, by Paulina Borsook,
SIAM News,
December 21, 2000

Extended Boundaries for Mathematical Language.
Review of Language Death, by David Crystal.
SIAM News March 9, 2001.

Educational Enthusiasms and Their Critics.
Review of Left Back: A Century of Failed School Reforms,
by Diane Ravitch.
SIAM News,
April 9, 2001

Wisdom from Xerox PARC.
Review of The Social Life of Information.
By John Seely Brown and Paul Duguid.
SIAM News,
May 9, 2001

While Surfing a Handbook.
Handbook of Discrete and Combinatorial Mathematics ed.
Kenneth H. Rosen,
SIAM News,
June 10, 2001

The Power of Numerics ,
Review of Mathematics Unlimited  2001 and Beyond.
ed. Bjorn Engquist and Wilfried Schmid.
SIAM News, September 10, 2001.

From Spots and Dots to Deep Stuff.
Review of The Geometry of Numbers. By C.D. Olds, Anneli Lax,
and Giuliana Davidoff.
SIAM News,
October 13, 2001

The Joy and Suffering of Research.
Review of
Laurent Schwartz: A Mathematician Grappling with his Century.
by Larurent Schwartz,
SIAM News,
November 13, 2001

Stringing Onward and Upward.
Review of The Next 1,000 Years.
Communications of the` ACM, March 2001, Vol. 44, No. 1
SIAM News,
December 13, 2001

Mathematics and the Modern Mind.
Review of The Modern Mind: An Intellectual History of the 20th Century.
By Peter Watson.
SIAM News,
January 2, 2002

Wars Change Lives.
Review of Improbable Warriors: Women Scientists and the U.S.
Navy in World War II, by Kathleen Broome Williams.
SIAM News,
March 2, 2002

Playing Ball Probabilistically.
Review of Curve Ball: Baseball, Statistics and the Role of Chance in
the Game. By Jim Albert and Jay Bennett.
SIAM News,
April 3, 2002

What Does It Mean to See?
Review of Visualizations: The Nature Book of Art and Science,
by Martin Kemp.
SIAM News,
May 3, 2002

Twentythree Hard Ones.
Review of The Honors Class: Hilbert's Problems and their Solvers,
by Benjamin H. Yandell,
SIAM News,
June 3, 2002

What Gerard Piel Knows.
Review of The Age of Science: What Scientists Learned in the 20th
Century, by Gerard Piel.
SIAM News,
July 3, 2002

Iteration and its Consequences.
Review of Indra's Pearls: The Vision of Felix Klein.
By David Mumford, Caroline Series, and David Wright.
SIAM News,
September 6, 2002

The Philosophical Poker.
Review of Wittgenstein's Poker, by David Edmonds and
John Eidenow,
SIAM News,
October 7, 2002

Language, Mathematics, and Ideology.
Review of From Newspeak to Cyberspeak: A History of Soviet Cybernetics,
by Slava Gerovitch,
SIAM News,
November 7, 2002

Anecdotes about Anecdotes.
Review of Mathematical Apocrypha, by Steven G. Krantz.
SIAM News, December 8, 2002.

Is Mathematics a Unified Whole?
Review of Mathematics Elsewhere: An Exploration of Ideas Across Cultures.
By Marcia Ascher
SIAM News,
March 30, 2003

Art Out of Bottles?
Exploring the Invisible: Art, Science, and the Spiritual.
By Lynn Gamwell
SIAM News,
April 30, 2003

Laugh and Learn with John.
Review of 777 Mathematical Conversation Starters. By John dePillis
SIAM News,
June 30, 2003

A New Look for Historiography.
Review of Computers, Visualization, and History: How New Technology
Will Transform our Understanding of the Past. By David J. Staley
SIAM News,
July 31, 2003

Debunking or Telling It as It Was?
Review of
Einstein's Luck: The Truth Behind Some of the Greatest
Scientific Discoveries. By John Waller
SIAM News,
September 29, 2003

The World According to Network Theory.
Review of Linked: The New Science of Networks. By AlbertLaszlo
Barabasi.
SIAM News,
October 31, 2003

The PP Paradigm.
The Cognitive Style of PowerPoint. by Edward Tufte.
SIAM News,
November 1, 2003

Briefly Noted.
Reviews of
Origami Design Secrets: Mathematical Methods for an Ancient Art,
by Robert J. Lang; and
Four Colors Suffice: How the Map Problem Was Solved, by Robin Wilson.
SIAM News,
November 1, 2003

Revealing All?
Review of Science, not Art: Ten Scientists' Diaries,
ed. Jon Turney.
SIAM News,
December 1, 2003

History Squared.
Review of Writing the History of Mathematics: Its Historical
Development, ed. Joseph W. Dauben and Christoph J. Scriba.
SIAM News, January 13, 2004.

Bringing the Riemann Zeta Function to the World's Attention.
Review of The Music of the Primes: Searching to Solve
the Greatest Mystery in Mathematics, by Marcus de Sautoy.
SIAM News, Volume 37, Number 1, January/February 2004

Biting the Bullet.
Mathematics and War, ed.
Bernhelm BoossBavnbek and Jen Hoyrup.
SIAM News,
March 24, 2004

Constants in the Universe: Their Validation, Their Compilation, and
Their Mystique.
Review of The Constants of Nature by John D. Barrow and
Mathematical Constants, by Steven R. Finch.
SIAM News,
April 24, 2004

Knowing vs. Knowing About.
Review of Abel's Proof: An Essay on the Sources and Meaning of
Mathematical Unsolvability, by Peter Pesic.
SIAM News,
May 25, 2004

Mathematics and MultiMedia
Review of porridge, pulleys, and PiDA, Video by G.P. Csicsery; and
Fermat's Last Tango, Video of a musical by Joann Sydney Lessner
et al.
SIAM News,
June 25, 2004

The Residue of Failure.
Review of The Secrets of the Vaulted Sky: Astrology and the
Art of Prediction. By David Berlinski.
SIAM News,
May 25, 2004

The Language Police Knock on Math's Door.
Review of The Language Police: How Pressure Groups
Restrict What Students Learn, by Diane Ravitch.
SIAM News,
July 25, 2004

The Innocent Pleasures of Simple Models.
Review of From Mathematics in Nature: Modeling Patterns in the Natural
World, by John A. Adam.
SIAM News,
October 26, 2004

Mumbo Math.
How MumboJumbo Conquered the World: A Short History of Modern Delusions.
By Francis Wheen
SIAM News,
November 26, 2004

Running Counter to Inert Crystallized Opinion.
Review of Janos Bolyai, NonEuclidean Geometry, and the
Nature of Space, by Jeremy J. Gray,
SIAM News, December 26, 2004.

How Amazing! What A Surprise!
Review of Beyond Coincidence. By Martin Plimmer and Brian King.
SIAM News,
January 28, 2005

A Life of Logic and the Illogic of Life,
Review of Alfred Tarski: Life and Logic, by Anita Burdman Fefeman
and Solomon Feferman. SIAM News, March 1, 2005.

The Legacy of Social Numbers.
Review of Extreme Measures: The Dark Visions and Bright Ideas
of Francis Galton, by Martin Brookes.
SIAM News,
April 1, 2005

The Author and Her Subject: Kathleen Broome Williams on Grace Murray Hopper.
Review of Grace Hopper: Admiral of the Cyber Sea,
by Kathleen Broome Williams.
SIAM News,
May 1, 2005

The Inner Turbulence of Genius: Norbert Wiener.
Review of Dark Hero of the Information Age: In Search of
Norbert Wiener, by Flo Conway and Jim Siegelman.
SIAM News, Volume 38, Number 5, June 2005

Dear Matrix Maven.
Review of Matrix Mathematics: Theory, Facts, and Formulas with
Application to Linear Systems Theory by Dennis S. Bernstein.
SIAM News,
July 6, 2005

Magisterial Voices of the Past.
Review of Musings of the Masters: An Anthology of
Mathematical Reflections,, ed. Raymond G. Ayoub.
SIAM News, September 26, 2005

Carissimo Papà: A Great Fish Story.
Review of The Biology of Numbers: The Correspondence of Vito
Volterra on Mathematical Biology ed. Giorgio Israel
and Ana Millán Gasca.
SIAM News,
October 21, 2005

Mister Mathematics: Saunders Mac Lane.
Review of Saunders MacLane: A Mathematical Autobiography
by Saunders MacLane.
SIAM News,
November 20, 2005

Omega: Chaitin's Demon.
Meta Math!: The Quest for Omega. By Gregory Chaitin.
SIAM News,
January 14, 2006

To Those Who Have, Shall Be Given.
Review of
The Economy of Prestige: Prizes, Awards, and the Circulation of Cultural
Value, by James F. English.
SIAM News,
April 12, 2006

The Infrastructure of Mathematics: The Case of William Playfair.
Review of The Commercial and Political Atlas and
Statistical Breviary: A Facsimile of the Third Edition (1801)
by William Playfair, ed. Howard Wainer and Ian Spence.
SIAM News,
May 15, 2006

A.A. Albert:
Chicago Mathematician.
Review of
A^{3} & His Algebra: How a Boy from Chicago's
West Side Became a Force in American Mathematics. By
Nancy E. Albert.
SIAM News, Volume 39, Number 5, June 2006

Arithmetic as It Was Taught 175 Years Ago in Providence.
Review of Practical and Mental Arithmetic, on a New Plan, in
which Mental Arithmetic is Combined with the Use of the Slate,
by Roswell C. Smith.
SIAM News,
July 6, 2006

A Brain on Fire: James Joseph Sylvester.
Review of James Joseph Sylvester: Jewish Mathematician in a Victorian...
by Karen Hunger Parshall,
SIAM News,
September 24, 2006

Why Zeus Smoked a Pipe, or The Legitimization of Mathematics.
Review of
Widmung, Welterkläng und Wissenschaftslegitimisierung:
Titelbilder und ihre Funktionen in der Wissenschaftlichen Revolution.
[Dedications, Explanations of the World, and the Legitimization of
Science: The Function of TitlePage Frontispieces During the Scientific
Revolution.] By Volker Remmert,
SIAM News,
October 21, 2006

Cleaning Up One's Prose.
Review of Nonsense: A Handbook of Logical Fallacies, Revised
Edition, by Robert J. Gula.
SIAM News November 19, 2006.

What Went On in Austria That Week: Gödel, Mozart, Bachmann.
Review of Kurt Gödel: The Album by
Karl Sigmund, John Dawson, and Kurt Mühlberger.
SIAM News,
December 22, 2006

Departed Glories: Bourbaki.
Review of The Artist and the Mathematician: The Story of Nicolas
Bourbaki, the Genius Mathematician Who Never Existed. By Amir D. Aczel,
SIAM News,
January 12, 2007

The Triumphal March of the FFT (And the Ambiguities of Comprehension).
Review of The Evolution of Applied Harmonic Analysis:
Models of the Real World, by Elena Prestini.
SIAM News,
March 13, 2007

A Tale of Three Cities, Two Academies, and an Opera Omnia in 76 Volumes
(and Counting).
Leonhard Euler.
by Emil A. Fellmann.
SIAM News,
May 1, 2007

From Fermat to Lenny Bernstein and Beyond.
Review of The Best of All Possible Worlds: Mathematics and Destiny,
by Ivar Ekeland.
SIAM News,
June 12, 2007

The Rehabilitation of Olinde Rodrigues.
Review of
Mathematics and Social Utopias in France: Olinde Rodrigues and
His Times, ed. Simon Altmann and Eduardo L. Ortiz.
SIAM News,
September 24, 2007.

Codes of Ethics and Their Limitations.
Review of Computer Ethics: A Global Perspective,
by Giannis Stamatellos.
SIAM News,
November 19, 2007

Charles Richter, His Scales, and More Scales.
Review of Richter's Scale: Measure of an Earthquake, Measure of a
Man, by Susan Hough.
SIAM News,
December 17, 2007

The Z of ZF and ZFC and ZFC.
Review of Ernst Zermelo: An Approach to His Life and Work.
By HeinzDieter Ebbinghaus.
SIAM News,
January 6, 2008

The Ubiquitous and Seductive J Curve,
Review of The J Curve: A New Way to Understand Why
Nations Rise and Fall, by Ian Bremmer.
SIAM News, March 14, 2008.

Things Are Changing in the World of Mathematics.
Review of
Traumjob Mathematik! Berufswege von Frauen und Männern in der Mathematik
(Dream Jobs in Mathematics! Employment Possibilities for Women and Men).
By Andrea E. Abele, Helmut Neunzert, and Renata Tobies.
SIAM News,
June 11, 2008

The Early Background of Genius.
Review of
Wer Ist Alexander Grothendieck? Anarchie, Mathematik, Spiritualität
Teil I: Anarchie. By Winfried Scharlau.
SIAM News,
July 10, 2008

Selecting Our Leaders.
Review of
Mathematics and Democracy: Designing Better Voting and FairDivision
Procedure by Steven J. Brams.
SIAM News,
October 21, 2008

Salvation through Genomics.
Review of A Life Decoded: My Life by J. Craig Ventner
SIAM News, November 16, 2008.

Spanning Multiple Worlds.
Review of Mathematics as Metaphor: Selected Essays. By Yuri I. Manin.
SIAM News,
December 21, 2008

Why Didn't They . . . ?
Review of The Man who Loved China, by Simon Winchester.
SIAM News,
January 10, 2009

New Winds in Applied Mathematics: The Road to Numerocracy,
Review of The Numerati, by Stephen Baker,
SIAM News, March 21, 2009.

Plagued by Plagiarism.
Review of Combating Student Plagiarism: An Academic Librarian's Guide.
By Lynn D. Lampert.
SIAM News,
April 13, 2009

Surfing Ancient Mathematics,
Review of The Mathematics of Egypt, Mesopotamia, China,
India, and Islam, ed. Victor Katz.
SIAM News, May 18, 2009

The Consummate Gamesman: John von Neumann,
Review of
The World as a Mathematical Game: John von Neumann and Twentieth Century
Science, by Giorgio Israel and Ana Millan Gasca,
SIAM News, June 15, 2009.

Mathematical Cultures and Their Adherents.
Review of ``The Two Cultures of Mathematics in Ancient Greece,''
by Markus Asper, in The Oxford Handbook of the History of
Mathematics,, ed. Eleanor Robson and Jacqueline Stedall.
SIAM News,
August 1, 2009

The Beauties of Mathematics Explained.
Review of The Housekeeper and the Professor, by Yoko Ogawa,
SIAM News, September 21, 2009.

Statistics: Love 'em or Leave 'em.
Review of
Picturing the Uncertain World: How to Understand, Communicate, and
Control Uncertainty through Graphical Display by Howard Wainer.
SIAM News,
September 21, 2009

Expositions: Their Contents and Discontents.
Review of Who Gave you the Epsilon? & Other Tales of
Mathematical History. ed. Marlow Anderson, Victor Katz
and Robin Wilson.
SIAM News, October 18, 2009.

The Limits of Analysis: Ornamentation.
Review of
Sipatsi: Basketry and Geometry in the Tonga Culture of Inhambane and
Sipatsi Images in Colour, by Paulus Gerdes
SIAM News,
November 14, 2009

Confronting Mathematicians.
Review of Mathematicians: An Outer View of an Inner World
by Mariana Cook
SIAM News,
December 4, 2009

Who Gets the Goodies (And How the Pie is Divided),
Review of How Professors Think: Inside the Curious World
of Academic Judgment, by Michele Lamont.
SIAM News, January 9, 2010.

Our Mathematical Debt to Europe.
Review of Mathematicians Fleeing from Nazi Germany:
Individual Fates and Global Impact, by Reinhard
SiegmundSchultze,
SIAM News, March 1, 2010.

Paul Dirac: The Laconic Genius of Quantum Theory.
Review of The Strangest Man: The Hidden Life of Paul Dirac,
Mystic of the Atom, by Graham Farmelo.
SIAM News,
April 1, 2010

The Sources of Confidence.
Review of Imperfect Oracle: The Epistemic and Moral Authority of Science.
By Theodore L. Brown.
SIAM News,
May 17, 2010

Numbers: Their Genealogies, Personalities, and Functions.
Numerical Notation. By Stephen Chrisomalis.
SIAM News,
June 22, 2010

History of Science  Lite.
Review of Science: A Four Thousand Year History by
Patricia Fara.
SIAM News, July 23, 2010.

Formulas Galore.
Review of
NIST Handbook of Mathematical Functions. Edited by Frank
W.J. Olver.
SIAM News, Volume 43, Number 7, September 2010

The New Academy of Laputa.
Review of Natural Computing: DNA, Quantum Bits, and the Future
of Smart Machines, by Dennis Shasha and Cathy Lazere.
SIAM News,
October 19, 2010

Communication and its Possibilities.
Review of Communicating Science: Professional, Popular, Literary.
By Nicholas Russell
SIAM News, Volume 43, Number 9, November 2010

Yau's Voice, Popularized.
Review of The Shape of Inner Space: String Theory and the Geometry
of the Universe's Hidden Dimensions, by ShingTung Yau and
Steve Nadis.
SIAM News, December 14, 2010.

The Popular and the Phony.
Review of Proofiness: The Dark Arts of Mathematical Deception.
by Charles Seife.
SIAM News,
January 24, 2011

The Complexity of Complexity.
Review of Compexity: A Guided Tour, by Melanie Mitchell
SIAM News, March 15, 2011.

A Scientific Patina for Everything Under the Sun,
Review of Quantify! A Crash Course in Smart Thinking,
by Göran Grimvall.
SIAM News, April 6, 2011.

Much Ado about Information. Review of
The Information: A History, A Theory, A Flood,
by James Gleick.
SIAM News, June 21, 2011.

Magnificent Obsessions. Review of
Higher Speculations: Grand Theories and Failed Revolutions in Physics
and Cosmology by Helge Kragh. SIAM News,, November 15, 2011.

Tricky Mathematics. Review of
Magical Mathematics: The Mathematical Ideas that Animate Great Magic Tricks
by Persi Diaconis and Ron Graham. SIAM News, March 2012.
 Mathematics as
Narrative.
Review of Circles Disturbed: The Interplay of Mathematics and Narrative,
ed. Apostolis Doxiadis and Barry Mazur, SIAM News, June
2012.

My Poincaré, Recollected. Review of
Henri Poincaré: A Scientific Biography, by Jeremy Gray,
SIAM News, October 2012.

Mathematics: Handmaiden to Architecture. Review of
Mathematical Excusions to the World's Great Buildings, by
Alexander Hahn. SIAM News, November 2012.

Geometry Meets Art in an Arcimboldesque Assemblage. Review of
Manifold Mirrors: The Crossing Paths of the Arts and Mathematics
by Felipe Cucker. SIAM News, July 2013.

De Moivre Revealed.
Review of Abraham de Moivre: Setting the Stage for Classical
Probability and its Applications by David Bellhouse.
SIAM News, March 2014.

Mathematics as Play.
Review of
Math Bytes: Google Bombs, ChocolateCovered Pi, and Other Cool Bits
in Computing, by Tim Chartier. SIAM News,
June 2014.

The Mathematization of America's National Sport .
Review of The Sabermetric Revolution: Assessing the Growth of Analytics
in Baseball, by Benjamin Baumer and Andrew Zimbalist.
SIAM News, July 2014
 Inspiration for a Devoted Wordsmith.
Review of Origins of Mathematical Words: A Comprehensive Dictionary of
Latin, Greek, and Arabic Roots. By Anthony Lo Bello.
SIAM News, January 2015.
Some Selected Lectures
 Mathematical Education: Continuous Reformation. Chauvenet Prize
Remarks. Berkeley, Cal., January 28, 1963,
 Of Men and Mathematics: A Plea for the Historical Sense in
Mathematics. Address: MAA Meeting, Annapolis, Md., April 27, 1963.
 Toward a Jamesian History of Mathematics. Invited address, Winter
meeting of the AMS, January 1967
 The Raised Eyebrows of Mathematics. International Conference of
Mathematical Education, 1992.
 Plenary Lecturer: International Commission for the Study and
Improvement of Mathematics Teaching. Berlin. July 1995.
 Invited Lecturer: Technische Universität Vienna, December 1996.
 Evidence in Mathematics. First Alfred North Whitehead Lecture, Imperial
College, 1998.
 Urania Lecturer, International Congress of Mathematicians, Berlin,
August, 1998.
 Invited Lecturer, International Conference on War and Mathematics,
Karlskrona, Sweden, August 2002.
 Invited Lecturer, Österreichische Gesellschaft für
Geschichte der Naturwissenschaften, May 2002 and May 2004.
Interviews
Interviews of and by Philip J. Davis at
The History of Numerical Analysis and Scientific Computing Oral History
Site

Saul Abarbanel

John Butcher

Interview of Philip J. Davis conducted by William Kolata and Gail
Corbett

Walter Gautschi

Paul Garabedian

David Gottlieb

Bertil Gustafsson

Eugene Isaacson

Seymour Parter

Michael J. D. Powell

Alfio Quarteroni

Frank Stenger

Hans J. Stetter

Heinz Zemanek
"Phil Davis and the Mathematizing of America",
Brown Alumni Monthly December 1986, pp. 1823.
This online bibliography was assembled by Ernest Davis. Thanks
to Carol Mehne for finding the articles in SIAM News,
19841997.