MAA Reviews

General: General Anthologies

** Aleksandrov, A.D.; Kolmogorov, Andrei N.; and Lavrent'ev, M.A., eds. Mathematics: Its Content, Methods, and Meaning, Cambridge, MA: MIT Press, 1969. 3 Vols.

Behnke, H., et al., eds. Fundamentals of Mathematics, Cambridge, MA: MIT Press, 1974, 1983. 3 Vols.

* Boehm, George A.W. The Mathematical Sciences: A Collection of Essays Cambridge, MA: MIT Press, 1969.

Campbell, Douglas M. and Higgins, John C., eds. Mathematics: People, Problems, Results, Belmont, CA: Wadsworth, 1984. 3~Vols.

Kapur, J.N. Fascinating World of Mathematical Sciences, New Delhi: Mathematical Sciences Trust Society, 1989. 3 Vols.

Le Lionnais, F., ed. Great Currents of Mathematical Thought, Mineola, NY: Dover, 1971. 2 Vols.

*** Newman, James R. The World of Mathematics, Redmond, WA: Microsoft Press, 1988. 4 Vols.

Saaty, Thomas L. and Weyl, F. Joachim, eds. The Spirit and the Uses of the Mathematical Sciences New York, NY: McGraw-Hill, 1969.

* Scientific American. Mathematics in the Modern World New York, NY: W.H. Freeman, 1968.

** Steen, Lynn Arthur, ed. Mathematics Tomorrow New York, NY: Springer-Verlag, 1981.

** Steen, Lynn Arthur, ed. Mathematics Today: Twelve Informal Essays New York, NY: Springer-Verlag, 1978, 1984.

General: Elementary Exposition

Asimov, Isaac. Asimov on Numbers New York, NY: Doubleday, 1977.

Bell, Eric T. Mathematics: Queen and Servant of Science Washington, DC: Mathematical Association of America, 1987.

Bunch, Bryan H. Mathematical Fallacies and Paradoxes New York, NY: Van Nostrand Reinhold, 1982.

*** Courant, Richard and Robbins, H. What is Mathematics? New York, NY: Oxford University Press, 1941.

** Dantzig, Tobias. Number, The Language of Science, New York, NY: Free Press, 1967. Fourth Edition.

** Davis, Philip J. and Hersh, Reuben. The Mathematical Experience New York, NY: Birkhauser, 1980.

** Davis, Philip J. and Hersh, Reuben. Descartes' Dream: The World According to Mathematics New York, NY: Penguin, 1988.

** Devlin, Keith J. Mathematics: The New Golden Age New York, NY: Penguin, 1988.

* Ekeland, Ivar. Mathematics and the Unexpected Chicago, IL: University of Chicago Press, 1988.

Flegg, H. Graham. Numbers: Their History and Meaning New York, NY: Schocken, 1983.

Garding, Lars. Encounter with Mathematics New York, NY: Springer-Verlag, 1977.

*** Gleick, James. Chaos: Making a New Science New York, NY: Viking Press, 1987.

Guillen, Michael. Bridges to Infinity: The Human Side of Mathematics Boston, MA: Houghton Mifflin, 1983.

*** Hardy, G.H. A Mathematician's Apology, New York, NY: Cambridge University Press, 1967, 1969. Revised Edition.

* Hoffman, Paul. Archimedes' Revenge: The Joys and Perils of Mathematics New York, NY: W.W. Norton, 1988.

*** Hofstadter, Douglas R. Godel, Escher, Bach: An Eternal Golden Braid New York, NY: Basic Books, 1979.

Hofstadter, Douglas R. Metamagical Themas: Questing for the Essence of Mind and Pattern New York, NY: Basic Books, 1985.

Hogben, Lancelot. Mathematics for the Million England: Merlin Press, 1989.

** Honsberger, Ross. Mathematical Gems, Washington, DC: Mathematical Association of America, 1973--85. 3 Vols.

* Honsberger, Ross. Mathematical Morsels Washington, DC: Mathematical Association of America, 1978.

* Honsberger, Ross. Mathematical Plums Washington, DC: Mathematical Association of America, 1979.

* Honsberger, Ross. More Mathematical Morsels Washington, DC: Mathematical Association of America, 1991.

* Honsberger, Ross. Ingenuity in Mathematics Washington, DC: Mathematical Association of America, 1975.

Kahn, David. Kahn On Codes: Secrets of the New Cryptology New York, NY: Macmillan, 1983.

** Kappraff, Jay. Connections: The Geometric Bridge Between Art and Science New York, NY: McGraw-Hill, 1991.

Khurgin, Ya. Did You Say Mathematics? Moscow: MIR, 1974.

* Kline, Morris. Mathematics: The Loss of Certainty New York, NY: Oxford University Press, 1980.

* Kline, Morris. Mathematics and the Search for Knowledge New York, NY: Oxford University Press, 1985.

Littlewood, Dudley E. The Skeleton Key of Mathematics New York, NY: Harper and Row, 1960.

** Morrison, Philip and Morrison, Phylis. Powers of Ten New York, NY: W.H. Freeman, 1982.

*** Niven, Ivan M. Maxima and Minima Without Calculus Washington, DC: Mathematical Association of America, 1981.

Paulos, John Allen. Innumeracy: Mathematical Illiteracy and Its Consequences New York, NY: Hill and Wang, 1988.

** Paulos, John Allen. Beyond Numeracy: Ruminations of a Numbers Man New York, NY: Alfred A. Knopf, 1991.

** Pedoe, Dan. The Gentle Art of Mathematics New York, NY: Macmillan, 1963.

** Penrose, Roger. The Emperor's New Mind: Concerning Computers, Minds, and The Laws of Physics New York, NY: Oxford University Press, 1989.

*** Peterson, Ivars. The Mathematical Tourist: Snapshots of Modern Mathematics New York, NY: W.H. Freeman, 1988.

*** Peterson, Ivars. Islands of Truth New York, NY: W.H. Freeman, 1991.

* Rademacher, Hans and Toeplitz, Otto. The Enjoyment of Mathematics Princeton, NJ: Princeton University Press, 1957.

** Rademacher, Hans. Higher Mathematics from an Elementary Point of View New York, NY: Birkhauser, 1983.

* Rucker, Rudy. Infinity and the Mind: The Science and Philosophy of the Infinite New York, NY: Birkhauser, 1982.

Schoenberg, I.J. Mathematical Time Exposures Washington, DC: Mathematical Association of America, 1982.

* Steinhaus, Hugo. Mathematical Snapshots, New York, NY: Oxford University Press, 1969, 1983. Third Edition.

** Stewart, Ian. Does God Play Dice? The Mathematics of Chaos New York, NY: Penguin, 1989.

* Stewart, Ian. Concepts of Modern Mathematics New York, NY: Penguin, 1975.

** Stewart, Ian. The Problems of Mathematics New York, NY: Oxford University Press, 1987.

Whitehead, Alfred North. An Introduction to Mathematics New York, NY: Oxford University Press, 1958.

General: Advanced Surveys

** Abbott, J.C., ed. The Chauvenet Papers: A Collection of Prize-Winning Expository Papers in Mathematics, Washington, DC: Mathematical Association of America, 1978. 2 Vols.

* Bochner, Salomon. The Role of Mathematics in the Rise of Science Princeton, NJ: Princeton University Press, 1981.

* Browder, Felix E., ed. Mathematical Developments Arising from Hilbert Problems Providence, RI: American Mathematical Society, 1976.

* Dieudonne, Jean and MacDonald, I.G. A Panorama of Pure Mathematics as Seen by N. Bourbaki New York, NY: Academic Press, 1982.

Dorrie, Heinrich. 100 Great Problems of Elementary Mathematics Mineola, NY: Dover, 1965.

* Jager, W.; Moser, J.; and Remmert, Reinhold, eds. Perspectives in Mathematics New York, NY: Birkhauser, 1984.

Kac, Mark; Rota, Gian-Carlo; and Schwartz, Jacob T. Discrete Thoughts: Essays on Mathematics, Science, and Philosophy New York, NY: Birkhauser, 1986.

Koch, Helmut. Introduction to Classical Mathematics I: From the Quadratic Reciprocity Law to the Uniformization Theorem Norwell, MA: Kluwer Academic, 1991.

Saaty, Thomas L., ed. Lectures on Modern Mathematics, New York, NY: John Wiley, 1963--65. 3 Vols.

Sawyer, W.W. Introducing Mathematics, New York, NY: Penguin, 1964--70. 4 Vols.

* Schiffer, M.M. and Bowden, Leon. The Role of Mathematics in Science Washington, DC: Mathematical Association of America, 1984.

** Tietze, Heinrich. Famous Problems of Mathematics: Solved and Unsolved Mathematical Problems From Antiquity to Modern Times Baltimore, MD: Graylock Press, 1965.

General: Mathematics Appreciation Texts

* Baylis, John and Haggarty, Rod. Alice in Numberland: A Students' Guide to the Enjoyment of Higher Mathematics Houndmills, England: Macmillan Education, 1988.

* Beck, Anatole; Bleicher, Michael N.; and Crowe, Donald W. Excursions Into Mathematics New York, NY: Worth, 1969.

Billstein, Rick and Lott, Johnny W. Mathematics for Liberal Arts: A Problem Solving Approach Redwood City, CA: Benjamin Cummings, 1986.

** Consortium for Mathematics and Its Applications. For All Practical Purposes: Introduction to Contemporary Mathematics, New York, NY: W.H. Freeman, 1988, 1991. Second Edition.

Coughlin, Raymond and Zitarelli, David E. The Ascent of Mathematics New York, NY: McGraw-Hill, 1984.

Davis, Morton D. Mathematically Speaking San Diego, CA: Harcourt Brace Jovanovich, 1980.

** Dunham, William. Journey Through Genius: The Great Theorems of Mathematics New York, NY: John Wiley, 1990.

** Gardiner, A. Discovering Mathematics: The Art of Investigation New York, NY: Oxford University Press, 1987.

Golos, Ellery B. Patterns in Mathematics Boston, MA: Prindle, Weber and Schmidt, 1981.

Gowar, Norman. An Invitation to Mathematics New York, NY: Oxford University Press, 1979.

Herstein, I.N. and Kaplansky, Irving. Matters Mathematical, New York, NY: Chelsea, 1978. Second Edition.

* Jacobs, Harold R. Mathematics: A Human Endeavor, New York, NY: W.H. Freeman, 1970, 1982. Second Edition.

** Meserve, Bruce E.; Sobel, Max A.; and Dossey, John A. Contemporary Mathematics, Englewood Cliffs, NJ: Prentice Hall, 1977, 1987. Fourth Edition.

Miller, Charles D.; Heeren, Vern E.; and Hornsby, E. John, Jr. Mathematical Ideas, Glenview, IL: Scott Foresman, 1970, 1990. Sixth Edition.

Penney, David E. Perspectives in Mathematics Reading, MA: W.A. Benjamin, 1972.

* Resnikoff, H.L. and Wells, R.O., Jr. Mathematics in Civilization Mineola, NY: Dover, 1984.

* Roberts, A. Wayne and Varberg, Dale E. Faces of Mathematics: An Introductory Course for College Students, New York, NY: Harper and Row, 1982. Second Edition.

Smith, Karl J. The Nature of Mathematics, Pacific Grove, CA: Brooks/Cole, 1991. Sixth Edition.

Smith, Karl J. Mathematics, Its Power and Utility, Pacific Grove, CA: Brooks/Cole, 1983, 1989. Third Edition.

Sondheimer, Ernst and Rogerson, Alan. Numbers and Infinity: A Historical Account of Mathematical Concepts New York, NY: Cambridge University Press, 1981.

* Stein, Sherman K. Mathematics, The Man-made Universe: An Introduction to the Spirit of Mathematics, New York, NY: W.H. Freeman, 1976. Third Edition.

Willerding, Margaret F. and Engelsohn, Harold S. Mathematics: The Alphabet of Science, New York, NY: John Wiley, 1977. Third Edition.

General: Fiction, Aphorisms, Epigrams

*** Abbott, Edwin A. Flatland Princeton, NJ: Princeton University Press, 1991.

** Dewdney, A.K. The Planiverse New York, NY: Poseidon Press, 1984.

** Eves, Howard W. Mathematical Circles, Boston, MA: Prindle, Weber and Schmidt, 1969--88. Six Volume Series (Various Titles).

* Fadiman, Clifton. The Mathematical Magpie New York, NY: Simon and Schuster, 1962.

* Fadiman, Clifton. Fantasia Mathematica New York, NY: Simon and Schuster, 1958.

* Knuth, Donald E. Surreal Numbers Reading, MA: Addison-Wesley, 1974.

Moritz, Robert E. On Mathematics Mineola, NY: Dover, 1914, 1958. (Former title: Memorabilia Mathematica.)

Rose, Nicholas J. Mathematical Maxims and Minims Raleigh, NC: Rome Press, 1988.

General: Miscellany

* Bollobas, Bela, ed. Littlewood's Miscellany, New York, NY: Cambridge University Press, 1986. Revised Edition.

* Cohn, Victor. News Numbers Ames, IA: Iowa State University Press, 1989.

* Davis, Philip J. and Chinn, William G. 3.1416 And All That New York, NY: Birkhauser, 1985.

* Fomenko, Anatolii T. Mathematical Impressions Providence, RI: American Mathematical Society, 1990.

* Huntley, H.E. The Divine Proportion: A Study in Mathematical Beauty Mineola, NY: Dover, 1970.

* Lang, Serge. The Beauty of Doing Mathematics: Three Public Dialogues New York, NY: Springer-Verlag, 1985.

Mauldin, R. Daniel. The Scottish Book: Mathematics from the Scottish Cafe New York, NY: Birkhauser, 1981.

*** Page, Warren, ed. Two-Year College Mathematics Readings Washington, DC: Mathematical Association of America, 1981.

Renyi, Alfred. Dialogues on Mathematics San Francisco, CA: Holden-Day, 1967.

Stewart, Ian and Jaworski, John, eds. Seven Years of Manifold, 1968--1980 Nantwich, Cheshire: Shiva Publishing, 1981.

Wechsler, Judith, ed. On Aesthetics in Science Cambridge, MA: MIT Press, 1978.