At a glance

Mathematics & Statistics Library

Undergraduate collection

The Undergraduate Collection is a collection of classical mathematics books covering the history of mathematics, assembled by Professor Halsey L. Royden and Rebecca Lasher Wesley in the late 1980's. Professor Donald E. Knuth recommended additional books in the mathematical and computer sciences. At the time, Professor Royden felt that all students of mathematics should become familiar with these works before they left Stanford. They are shelved in the book stacks by call number and may sometimes be identified by a narrow (not round) bright green strip on the book's spine.

AUTHOR: Aho, Alfred V.
TITLE: Compilers : principles, techniques, & tools / Alfred V. Aho, Ravi Sethi, Jeffrey D. Ullman.
IMPRINT: 2nd edition. Boston : Pearson Addison-Wesley, 2007.
CALL NO.: QA76.76 .C65 A37 2007 (at the Engineering Library; earlier edition also available)

AUTHOR: Aho, Alfred V.
TITLE: Data structures and algorithms / Alfred V. Aho, John E. Hopcroft, Jeffrey D. Ullman.
IMPRINT: Repr. with corrections. Reading, Mass. : Addison-Wesley, 1985, c1983.
SERIES: Addison-Wesley series in computer science and information processing
CALL NO.: QA76.9.D35 A38 1985

AUTHOR: Banach, Stefan, 1892-1945.
TITLE: Theorie des operations lineaires / par Stefan Banach …
IMPRINT: Warszawa : Subwencji Funduszu kultury narodowej, 1932.
SERIES: (Monografie matematyczne ; t. 1)
CALL NO.: QA253 .B25 & QA253 .B3 (English translation available under QA322.2.B2813 1987)

AUTHOR: Beckmann, Petr.
TITLE: A history of Pi / Petr Beckmann.
IMPRINT: 5th edition. Boulder, Colo. : Golem Press, 1982.
CALL NO.: QA484 .B4 1982 (earlier editions also available)

AUTHOR: Birkhoff, Garrett, 1911-
TITLE: A survey of modern algebra / Garrett Birkhoff, Saunders MacLane.
IMPRINT: Corrected reprint. Wellesley, Mass. : A.K. Peters, 1997.
CALL NO.: QA162 .B57 1997 Permanent Reserve (short-term loan)

AUTHOR: Boas, Ralph Philip.
TITLE: A primer of real functions / by Ralph P. Boas, Jr.
IMPRINT: 4th edition. [Washington] : Mathematical Association of America, c1996.
SERIES: (Carus mathematical monographs ; no. 13)
CALL NO.: QA331.5 .B57 1996 (earlier editions also available)

AUTHOR: Bulmer-Thomas, Ivor, 1905-
TITLE: Selections illustrating the history of Greek mathematics / with an English translation by Ivor Thomas.
IMPRINT: Cambridge : Harvard University Press, 1939-41.
SERIES: (The Loeb Classical library. [Greek Authors])
CALL NO.: QA37 .A3 T5 V.1-2

TITLE: The Chauvenet papers : a collection of prize-winning expository papers in mathematics / J. C. Abbott, editor.
IMPRINT: [Washington, D.C.] : Mathematical Association of America, c1978.
CALL NO.: QA7 .C43 V.1-2

AUTHOR: Chinn, William G.
TITLE: First concepts of topology: the geometry of mappings of segments, curves, circles, and disks, by W. G. Chinn and N. E. Steenrod.
IMPRINT: [New York] Random House [1966]
SERIES: (New mathematical library ; 18)
CALL NO.: QA611 .C38

AUTHOR: Churchill, Ruel Vance, 1899-
TITLE: Complex variables and applications / Ruel V. Churchill, James Ward Brown.
IMPRINT: 5th edition. New York : McGraw-Hill, c1990.
CALL NO.: QA331.7 .C524 1990 (later and earlier editions also available)

AUTHOR: Copson, E. T. (Edward Thomas), 1901-
TITLE: An introduction to the theory of functions of a complex variable, by E. T. Copson ...
IMPRINT: Oxford, The Clarendon press, [1950]
CALL NO.: QA331 .C67

AUTHOR: Courant, Richard, 1888-1972.
TITLE: What is mathematics? An elementary approach to ideas and methods / by Richard Courant and Herbert Robbins
IMPRINT: 2nd edition, revised by Ian Stewart. - New York : Oxford University, 1996.
CALL NO.: QA37.2 .C69 1996 (earlier edition also available)

AUTHOR: Crowell, Richard H.
TITLE: Introduction to knot theory / Richard H. Crowell, Ralph H. Fox.
IMPRINT: New York : Springer-Verlag, [1977] c1963.
SERIES: (Graduate texts in mathematics ; 57)
CALL NO.: QA612.2.C76 1977

AUTHOR: Davis, Philip J., 1923-
TITLE: The mathematical experience / Philip J. Davis, Reuben Hersh, with an introduction by Gian-Carlo Rota.
IMPRINT: Boston : Birkhauser Boston, c1981.
CALL NO.: QA8.4 .D37

AUTHOR: Devlin, Keith J.
TITLE: Mathematics : the new golden age / Keith Devlin.
IMPRINT: [New and rev. ed.]. New York : Columbia University Press, c1999.
CALL NO.: QA93 .D46 1999

AUTHOR: Dieudonne, Jean Alexandre, 1906-
TITLE: Invariant theory, old and new [by] Jean A. Dieudonne [and] James B. Carrell.
IMPRINT: New York, Academic Press, 1971.
CALL NO.: QA261 .D54 1971

AUTHOR: Dieudonne, Jean Alexandre, 1906-
TITLE: A panorama of pure mathematics, as seen by N. Bourbaki / Jean Dieudonne ; translated by I.G. Macdonald.
IMPRINT: New York : Academic Press, 1982.
SERIES: (Pure and applied mathematics ; 97)
CALL NO.: QA37.2 .D5313

AUTHOR: Euclid.
TITLE: The thirteen books of Euclid's Elements, translated from the text of Heiberg, with introd. and commentary by Sir Thomas L. Heath.
IMPRINT: New York, Dover Publications [1956]
CALL NO.: QA31 .E875 1956 V.1-3

AUTHOR: Feynman, Richard Phillips.
TITLE: The character of physical law [by] Richard Feynman.
IMPRINT: Cambridge, M.I.T. Press [1965]
SERIES: (The Messenger lectures, 1964)
CALL NO.: QC28 .F4

AUTHOR: Gelbaum, Bernard R.
TITLE: Counterexamples in analysis [by] Bernard R. Gelbaum [and] John M.H. Olmsted.
IMPRINT: Oakland, Calif., Holden-Day, 1964.
SERIES: (The Mathesis Series)
CALL NO.: QA300 .G4

AUTHOR: Graham, Ronald L., 1935-
TITLE: Concrete mathematics : a foundation for computer science / Ronald L. Graham, Donald E. Knuth, Oren Patashnik.
IMPRINT: 2nd edition. Reading, Mass. : Addison-Wesley, c1994.
CALL NO.: QA39.2 .G733 1994

AUTHOR: Hadamard, Jacques, 1865-1963.
TITLE: An essay on the psychology of invention in the mathematical field.
IMPRINT: [New York] Dover Publications [1954, c1945]
CALL NO.: QA9 .H25 1954

AUTHOR: Halmos, Paul R. (Paul Richard), 1916-
TITLE: I have a photographic memory / Paul R. Halmos.
IMPRINT: Providence, R.I. : American Mathematical Society, 1987.
CALL NO.: QA28 .H345 1987

AUTHOR: Halmos, Paul R. (Paul Richard), 1916-
TITLE: I want to be a mathematician : an automathography / Paul R. Halmos.
IMPRINT: New York : Springer-Verlag, c1985.
CALL NO.: QA29.H19 A35 1985

AUTHOR: Halmos, Paul R. (Paul Richard), 1916-
TITLE: Measure theory.
IMPRINT: New York, Springer-Verlag, [1974]
SERIES: (Graduate texts in mathematics ; 18)
CALL NO.: QA312 .H26 1974

AUTHOR: Halmos, Paul R. (Paul Richard), 1916-
TITLE: Naive set theory, by Paul R. Halmos.
IMPRINT: New York, Springer-Verlag [1974]
SERIES: (Undergraduate texts in mathematics)
CALL NO.: QA248 .H26 1974

AUTHOR: Hardy, G. H. (Godfrey Harold), 1877-1947.
TITLE: A course of pure mathematics, by H. Hardy.
IMPRINT: Cambridge [Eng.] University Press, 1960.
CALL NO.: QA303 .H248 1960

AUTHOR: Hardy, G. H. (Godfrey Harold), 1877-1947.
TITLE: Inequalities / by G.H. Hardy, J.E. Littlewood, G. Polya.
IMPRINT: Cambridge [England] ; New York : Cambridge University Press, 1988.
SERIES: (Cambridge mathematical library)
CALL NO.: QA303 .H37 1988

AUTHOR: Hardy, G. H. (Godfrey Harold), 1877-1947.
TITLE: An introduction to the theory of numbers / by G. H. Hardy and E. M. Wright.
IMPRINT: 6th ed. [revised by D.R. Heath-Brown and J.H. Silverman]. Oxford ; New York : Oxford University Press, 2008.
CALL NO.: QA241 .H37 2008

AUTHOR: Hardy, G. H. (Godfrey Harold), 1877-1947.
TITLE: A mathematician's apology / by G. H. Hardy ; with a foreword by C. P. Snow.
IMPRINT: Cambridge ; New York : Cambridge University Press, 1967 (1985 printing)
CALL NO.: QA7 .H3 1985

AUTHOR: Hausdorff, Felix, 1868-1942.
TITLE: Grundzuge der mengenlehre.
IMPRINT: Leipzig, Von Veit, 1935.
CALL NO.: QA248 .H4 1935 (English translation available under QA248.H353)

AUTHOR: Heath, Thomas Little, Sir, 1861-1940.
TITLE: A history of Greek mathematics / Sir Thomas Heath.
IMPRINT: New York : Dover Publications, 1981.
CALL NO.: QA22 .H4 1981 V.1-2

AUTHOR: Hilbert, David, 1862-1943.
TITLE: Foundations of geometry : Grundlagen der Geometrie / David Hilbert ; translated by Leo Unger ; revised and enlarged by Dr. Paul Bernays.
IMPRINT: La Salle, Ill. : Open Court, 1987, c1971.
CALL NO.: QA681 .H6 1987

AUTHOR: Hilbert, David, 1862-1943.
TITLE: Principles of mathematical logic, by D. Hilbert and W. Ackermann; translated from the German by Lewis M. Hammond, George G. Leckie [and] F. Steinhardt. Edited and with notes by Robert E. Luce.
IMPRINT: New York, Chelsea Pub. Co., 1950.
CALL NO.: BC135 .H514

Author: Hofstadter, Douglas R., 1945-
Title: Godel, Escher, Bach : an eternal golden braid / Douglas R. Hofstadter.
Imprint: New York : Basic Books, 1979.
CALL NO.: QA9.8 .H63

AUTHOR: Jacobson, Nathan, 1910-
TITLE: Basic algebra / Nathan Jacobson.
IMPRINT: 2nd ed. New York : W.H. Freeman, c1985-
CALL NO.: QA154.2 .J32 1985 V.1

AUTHOR: Jacobson, Nathan, 1910-
TITLE: Lectures in abstract algebra.
IMPRINT: New York, Van Nostrand, 1951-1964.
SERIES: (The University series in higher mathematics)
CALL NO.: QA266 .J3 V. 1-3

AUTHOR: Kac, Mark.
TITLE: Statistical independence in probability, analysis and number theory.
IMPRINT: [n. p.] Mathematical Association of America; distributed by Wiley [New York, 1959]
SERIES: (Carus mathematical monographs ; no. 12)
CALL NO.: QA273 .K25

AUTHOR: Kelley, John L.
TITLE: General topology.
IMPRINT: New York, Van Nostrand, 1955.
SERIES: (The University Series in higher mathematics)
CALL NO.: QA611 .K4

AUTHOR: Kelley, John L.
TITLE: Linear topological spaces, by J.L. Kelley [and] Isaac Namioka [and others].
IMPRINT: Princeton, N.J., Van Nostrand [1963]
SERIES: (University Series in higher mathematics)
CALL NO.: QA614.5 .L5 K4

AUTHOR: Khinchin, Aleksandr IAkovlevich, 1894-1959.
TITLE: Three pearls of number theory. [Translated from the 2d rev. Russian ed. by F. Bagemihl, H. Komm, and W. Seidel]
IMPRINT: Rochester, N.Y., Graylock Press, 1952.
CALL NO.: QA241 .K513

AUTHOR: Kleene, Stephen Cole, 1909-
TITLE: Introduction to metamathematics.
IMPRINT: Amsterdam, North-Holland Pub. Co., 1964.
SERIES: (Bibliotheca mathematica ; v. 1)
CALL NO.: QA9 .K5 1964

AUTHOR: Klein, Felix, 1849-1925.
TITLE: Elementary mathematics from an advanced standpoint. Translated from the third German edition by E. R. Hedrick and C. A. Noble.
IMPRINT: New York, Macmillan, 1932-39.
CALL NO.: QA39 .K513 1932 V.1

AUTHOR: Kline, Morris, 1908-
TITLE: Mathematical thought from ancient to modern times.
IMPRINT: New York, Oxford University Press, 1972.
CALL NO.: QA21 .K53

AUTHOR: Knopp, Konrad, 1882-1957.
TITLE: Elements of the theory of functions.
IMPRINT: New York] Dover Publications [c1952]
CALL NO.: QA331 .K6814

AUTHOR: Knopp, Konrad, 1882-1957.
TITLE: Theory and application of infinite series.
EDITION: [2d ed.] Translated from the 2d German ed. and rev. in accordance with the 4th by R. C. H. Young.
IMPRINT: New York, Hafner, [195-?]
CALL NO.: QA295 .K5

AUTHOR: Knuth, Donald Ervin, 1938-
TITLE: Surreal numbers : how two ex-students turned on to pure mathematics and found total happiness; a mathematical novelette, by D.E. Knuth.
IMPRINT: Reading, Mass., Addison-Wesley Pub. Co. [1974]
CALL NO.: QA241 .K688

AUTHOR: Littlewood, John E. (John Edensor), 1885-1977.
TITLE: Littlewood's Miscellany / edited by Bela Bollobas.
IMPRINT: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, c1986.
CALL NO.: QA7 .L75 1986

AUTHOR: Mandelbrot, Benoit B.
TITLE: The fractal geometry of nature / Benoit B. Mandelbrot.
IMPRINT: New York : W.H. Freeman, c1983.
CALL NO.: QA447 .M357 1983

TITLE: Mathematical people : profiles and interviews / edited by Donald J. Albers and G.L. Alexanderson ; introduction by Philip J. Davis.
IMPRINT: Boston, Mass. : Birkhauser, 1985.
CALL NO.: QA28 .M37 1985

TITLE: Mathematics : people, problems, results / edited by Douglas M. Campbell and John C. Higgins.
IMPRINT: Belmont, Calif. : Wadsworth International, c1984.
CALL NO.: QA7 .M34466 1984 V.1-3

AUTHOR: Menninger, Karl, 1898-
TITLE: [Zahlwort und Ziffer. English.] Number words and number symbols : a cultural history of numbers / Karl Menninger ; translated by Paul Broneer from the revised German edition.
IMPRINT: New York : Dover Publications, 1992.
CALL NO.: QA141.2 .M4513 1992

AUTHOR: Milnor, John Willard, 1931-
TITLE: Topology from the differentiable viewpoint / John W. Milnor ; based on notes by David W. Weaver.
IMPRINT: Rev. ed. Princeton, N.J. : Princeton University Press, 1997 printing.
SERIES: (Princeton landmarks in mathematics and physics)
SERIES: (Princeton paperbacks)
CALL NO.: QA612 .M54 1997

AUTHOR: Monna, A. F.
TITLE: Functional analysis in historical perspective [by] A. F. Monna.
IMPRINT: New York, Wiley, 1973.
CALL NO.: QA320 .M66

AUTHOR: Morgan, Frank.
TITLE: Geometric measure theory : a beginner's guide / Frank Morgan.
IMPRINT: 4th edition. Amsterdam ; Boston : Academic Press/Elsevier, c2009.
CALL NO.: QA312 .M67 2009

AUTHOR: Munkres, James R.,1930-
TITLE: Topology, a first course [by] James R.Munkres.
IMPRINT: Englewood Cliffs, N.J., Prentice-Hall [1975]
CALL NO.: QA611 .M82

AUTHOR: Newman, James Roy, 1907-1966.
TITLE: The world of mathematics; a small library of the literature of mathematics from Ah-mose the Scribe to Albert Einstein, presented with commentaries and notes by James R. Newman.
IMPRINT: New York, Simon and Schuster, 1956.
CALL NO.: QA3 .N48 V.1-4

AUTHOR: Newman, M. H. A. (Maxwell Herman Alexander), 1897-
TITLE: Elements of the topology of plane sets of points, by M.H.A. Newman.
IMPRINT: [2d ed., re-set]. Cambridge [Eng.] University Press, 1951.
CALL NO.: QA248 .N48 1951

AUTHOR: Niven, Ivan Morton, 1915-
TITLE: An introduction to the theory of numbers / Ivan Niven, Herbert S. Zuckerman.
IMPRINT: 5th edition. New York : Wiley, c1991.
CALL NO.: QA241 .N56 1991 (earlier edition also available)

AUTHOR: Polya, George, 1887-1985.
TITLE: Complex variables [by] George Polya [and] Gordon Latta.
IMPRINT: New York, Wiley [1974]
CALL NO.: QA331 .P794

AUTHOR: Polya, George, 1887-1985.
TITLE: How to solve it; a new aspect of mathematical method [by] G. Polya.
IMPRINT: Princeton, N.J., Princeton University Press [1971, c1957]
SERIES: (Princeton paperbacks, no. 246)
CALL NO.: QA11 .P6 1971

AUTHOR: Polya, George, 1887-1985.
TITLE: Problems and theorems in analysis [by] G. Polya [and] G Szego. Translation by D. Aeppli.
IMPRINT: New York : Springer, 1983-
CALL NO.: QA301 .P64413 1983 V.1-2

AUTHOR: Poundstone, William.
TITLE: Labyrinths of reason : paradox, puzzles, and the frailty of knowledge / William Poundstone.
IMPRINT: New York : Anchor Press/Doubleday, c1988.
CALL NO.: Q175 .P8816 1988

AUTHOR: Reid, Constance.
TITLE: Hilbert-Courant / Constance Reid.
IMPRINT: New York : Springer-Verlag, c1986.
CALL NO.: QA29.H5 R42 1986

AUTHOR: Royden, H. L.
TITLE: Real analysis / H.L. Royden, P. M. Fitzpatrick.
IMPRINT: 4th edition. Boston : Prentice Hall, c2010.
CALL NO.: QA331.5 .R6 2010

AUTHOR: Rucker, Rudy v. B. (Rudy von Bitter), 1946-
TITLE: Infinity and the mind : the science and philosophy of the infinite / by Rudy Rucker.
IMPRINT: Princeton, N.J. : Princeton University Press, 1995.
SERIES: Princeton science library
CALL NO.: QA9 .R79 1995 (earlier printings also available)

AUTHOR: Russell, Bertrand, 1872-1970.
TITLE: Principles of mathematics by Bertrand Russell.
IMPRINT: London, G. Allen & Unwin, Ltd. [1951]
CALL NO.: QA9 .R88 1951

TITLE: The Scottish book : mathematical problems from the Scottish Cafe / edited by R. Daniel Mauldin.
IMPRINT: Boston : Birkhauser, 1981.
CALL NO.: QA43 .S39

AUTHOR: Seidenberg, A. (Abraham), 1916-
TITLE: Lectures in projective geometry.
IMPRINT: Princeton, N.J., Van Nostrand [1962]
SERIES: (University Series in undergraduate mathematics)
CALL NO.: QA471 .S42

AUTHOR: Steen, Lynn Arthur, 1941-
TITLE: Counterexamples in topology / Lynn Arthur Steen, J. Arthur Seebach, Jr.
IMPRINT: New York : Springer-Verlag, c1978.
CALL NO.: QA611.3 .S74 1978

AUTHOR: Struik, Dirk Jan, 1894-
TITLE: A source book in mathematics, 1200-1800, edited by D. J. Struik.
IMPRINT: Cambridge, Mass., Harvard University Press, 1969.
SERIES: (Source books in the history of the sciences)
CALL NO.: QA21 .S88 (corrected reprint under QA21 .S76 1986)

AUTHOR: Suppes, Patrick, 1922-
TITLE: Introduction to logic.
IMPRINT: Princeton, N.J., D. Van Nostrand Co. [1957]
SERIES: (The University Series in undergraduate mathematics)
CALL NO.: BC108 .S85

AUTHOR: Thompson, Thomas M.
TITLE: From error-correcting codes through sphere packings to simple groups / by Thomas M. Thompson.
IMPRINT: [Washington, D.C.?] : Mathematical Association of America, c1983.
SERIES: (Carus mathematical monographs ; no. 21)
CALL NO.: QA151 .T47 1983

AUTHOR: Titchmarsh, E. C. (Edward Charles), 1899-
TITLE: The theory of functions / by E. C. Titchmarsh.
IMPRINT: 2d ed. London : Oxford University Press, 1939.
CALL NO.: QA331 .T5 1952

AUTHOR: Toeplitz, Otto, 1881-1940.
TITLE: The calculus; a genetic approach. Translated by Luise Lange.
IMPRINT: [Chicago] University of Chicago Press [1963]
CALL NO.: QA303 .T643

AUTHOR: Ulam, Stanislaw M.
TITLE: Adventures of a mathematician / S. M. Ulam.
IMPRINT: New York : Scribner, [1976]
CALL NO.: QA29.U4.A33

AUTHOR: Weeks, Jeffrey R., 1956-
TITLE: The shape of space / Jeffrey R. Weeks.
IMPRINT: 2nd edition. New York : Marcel Dekker, c2002.
SERIES: (Monographs and textbooks in pure and applied mathematics ; 249)
CALL NO.: QA612.2 .W44 2002 (earlier edition also available; available online to Stanford-affiliated users at:

AUTHOR: Weil, Andre, 1906-
TITLE: Number theory : an approach through history from Hammurapi to Legendre / Andre Weil.
IMPRINT: Boston : Birkhauser, c1984.
CALL NO.: QA241 .W341811 1984