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General Mathematics

books.gif Barrow, John D. Pi in the Sky: Counting, Thinking, and Being. Oxford, England: Clarendon Press, 1993. 317 p. Out of print? ISBN: 0316082597. $?.

Beck, Anatole; Bleicher, Michael N.; and Crowe, Donald W. Excursions into Mathematics. New York: Worth Publishers, 1970. $?.

Bender, Carl M. and Orszag, Steven A. Advanced Mathematical Methods for Scientists and Engineers. New York: McGraw-Hill, 1978. 593 p. $90.95.

books.gif Biermann, Otto. Elemente des höheren Mathematik. Leipzig, Germany: Teubner, 1895. 381 p.

BItar, Khalil; Chamseddine, Ali; and Sabra, Wafic. The Mathematical Sciences after the Year 2000, Beirut, Lebanon, 11-15 January 1999. Singapore: World Scientific, 2000. 174 p. $?.

Casti, John L. Five More Golden Rules: Knots, Codes, Chaos, and Other Great Theories of 20th-Century Mathematics. New York: Wiley, 2000. 268 p. $?.

Clawson, Calvin C. Mathematical Mysteries: The Beauty and Magic of Numbers. Perseus, 1996. 313 p. $17.

Cole, K.C. The Universe and the Teacup: The Mathematics of Truth and Beauty. New York: Harcourt Brace, 1998. $22.

books.gif Conway, John Horton and Guy, Richard K. The Book of Numbers. New York: Springer-Verlag, 1995. 320 p. Excellent, very readable book filled with many delightful tidbits. I highly recommend it to anyone who enjoys math. $29.

books.gif Courant, Richard and Robbins, Herbert. What is Mathematics?: An Elementary Approach to Ideas and Methods. Oxford, England: Oxford University Press, 1978. Now in 2nd ed.

books.gif Courant, Richard and Robbins, Herbert. What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, 1996. Reprint on the classic 1941 text with an appendix by Ian Stewart. An excellent, very readable book. May be a bit advanced for some readers, but there are lots of gems between its covers. 566 p. $18.95.

books.gif Davis, Philip J. and Hersch, Reuben. The Mathematical Experience. Boston, MA: Birkhäuser, 1981. $15.95.

Davis, Philip J.; Hersch, Reuben; and Marchisotto, Elena A. The Mathematical Experience, 2nd ed. Boston, MA: Birkhäuser, 1995. 500 p. $38.50.

Davis, P. The Nature and Power of Mathematics. Princeton, NJ: Princeton University Press, 1993. $24.95.

Dehaene, Stanislas. The Number Sense: How the Mind Creates Mathematics. Oxford, England: Oxford University Press, 1997. 288 p. $25.

books.gif Devlin, Keith J. Mathematics: The New Golden Age. London: Penguin Books, 1988. 287 p. Now out in rev. ed.

Devlin, Keith J. Mathematics: The New Golden Age, rev. ed. New York: Columbia University Press, 1999. 320 p. $24.95.

Dieudonné, Jean Alexandre. A Panorama of Pure Mathematics, as seen by N. Bourbaki. New York: Academic Press, 1982. 289 p. $?.

Dresden, Arnold. An Invitation to Mathematics. New York: Henry Holt and Co., 1936.

books.gif du Sautoy, Marcus. The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics. New York: HarperCollins, 2003. 335 p. $24.95.

Dunham, William. The Mathematical Universe: An Alphabetical Journey through the Great Proofs, Problems, and Personalities. New York: Wiley, 1997. 320 p. $22.95.

Ekeland, Ivar. Mathematics and the Unexpected. Chicago, IL: University of Chicago Press, 1988. 146 p. $11.

books.gif Engquist, Björn and Schmid, Wilfried (Eds.). Mathematics Unlimited-- 2001 and Beyond. Berlin: Springer-Verlag, 2001. 1237 p. $?.

books.gif Eves, Howard and Newson, Carroll V. Foundations and Fundamental Concepts of Mathematics. New York: Holt, Rinehart and Winston, 1961. 363 p. $12.95.

Eves, Howard W. In Mathematical Circles: A Selection of Mathematical Stories and Anecdotes (Quadrants I, II, III, IV). Wadsworth, 1969. $87.95.

Eves, Howard W. Mathematical Circles Revisited: A Second Collection of Mathematical Stories and Anecdotes. Prindle, Weber, and Schmidt, 1972. $76.95.

Eves, Howard W. Mathematical Circles Squared: A Third Collection of Mathematical Stories and Anecdotes. Prindle, Weber and Schmidt, 1972. $67.95.

Eves, Howard W. Return to Mathematical Circles: A Fifth Collection of Mathematical Stories and Anecdotes. Kent, 1987. $61.95.

Eves, Howard W. Mathematical Circles Adieu. Out of print. $?.

Fadiman, Clifton. Fantasia Mathematica, Being a Set of Stories, Together with a Group of Oddments and Diversions, All Drawn from the Universe of Mathematics. New York: Simon and Schuster, 1958. 298 p. $15.01.

Ferris, Timothy (Ed.). The World Treasury of Physics, Astronomy, and Mathematics. 859 p. Little, Brown. $22.95.

Gazalé, Midhat J. Gnomon: From Pharoahs to Fractals. Princeton, NJ: Princeton University Press, 1999. 280 p. $29.95.

Guillen, Michael. Bridges to Infinity: The Human Side of Mathematics. $?.

books.gif Hardy, Godfrey Harold. A Course of Pure Mathematics, 10th ed. London: Cambridge University Press, 1952. $29.95.

Herstein, I.N. and Kaplansky, I. Matters Mathematical. Providence, RI: Amer. Math. Soc., 1974. 246 p. $19.

Hildebrandt, Stefan and Tromba, Anthony. Mathematics and Optimal Form. Scientific American Books, 1985. $?.

books.gif Hilton, Peter; Holton, Derek; and Pedersen, Jean. Mathematical Reflections in a Room with Many Mirrors. New York: Springer-Verlag, 1997. 250 p. A book intended to show undergraduates the beauty of mathematics. Unfortunately, it falls short. The exposition is discontinuous and deliberately jerky (full of ``breaks''), and bends over backwards in an apparent attempt to be ``cute''. It's hard to read and low in information content. $34.

books.gif Hogben, Lancelot. Mathematics for the Million. New York: W.W. Norton, 1942. 682 p. $16.95.

books.gif Honsberger, Ross. Ingenuity in Mathematics. Washington, DC: Math. Assoc. Amer., 1970. 204 p. $?.

books.gif Humez, Alexander. Zero to Lazy Eight: The Romance of Numbers. New York: Simon and Schuster, 1993. 228 p. $21.

Jacobs, Konrad. Invitation to Mathematics. Princeton, NJ: Princeton University Press, 1992. 201 p. $24.95.

Kahn, Peter B. Mathematical Methods for Scientists and Engineers: Linear and Nonlinear Systems. New York: Wiley, 1990. 465 p. $38.

books.gif Kasner, Edward and Newman, James Roy. Mathematics and the Imagination. Redmond, Wash.: Microsoft Press, 1989. 380 p. $8.95.

books.gif Kelly, Gerard W. Short-Cut Math. New York: Dover, 1984. 112 p. $2.95.

books.gif Klarner, David A. (Ed). Mathematical Recreations: A Collection in Honor of Martin Gardner. New York: Dover, 1998. 382 p. Excellent book on recreational mathematics topics. Highly recommended. $14.95.

Klein, Felix. Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis. New York: Dover.

Kline, Morris. Mathematics for the Nonmathematician. New York: Dover, 1985. 641 p. New ed. of work originally published under the title Mathematics for Liberal Arts. $11.95.

Kline, Morris (intro.). Mathematics in the Modern World: Readings from Scientific American. San Francisco, CA: W.H. Freeman, 1968. 409 p.

books.gif Kline, Morris. Mathematics and the Physical World. 1959. $11.95.

books.gif Kreyszig, Erwin. Advanced Engineering Mathematics, 4th ed. New York: Wiley, 1979. 939 p. Now in 8th ed.

Kreyszig, Erwin. Advanced Engineering Mathematics, 8th ed. New York: Wiley, 1999. 1273 p. Exhaustive review of mathematics, including ODEs, linear algebra, vector calculus, Fourier analysis, PDEs, complex analysis, numerical methods, and statistics. Well-organized, and includes many worked examples. $109.95.

Littlewood, John Edensor. Bollobás, Bela. (Ed.). Littlewood's Miscellany. Cambridge, England: Cambridge University Press, 1986. 200 p. $?.

Mac Lane, Saunders. Mathematics: Form and Function. New York: Springer-Verlag, 1986. 476 p. $53.95.

books.gif MacNeal, Edward. Mathsemantics: Making Numbers Talk Sense. New York: Viking, 1994. 310 p. $?.

books.gif Nielsen, Kaj L. College Mathematics: Basic Course in Essentials of Algebra, Trigonometry, Analytic Geometry, Calculus with Exercises, Examinations, Answers. New York: Barnes and Noble, 1961. 300 p.

books.gif Noble, Ben. Applications of Undergraduate Mathematics in Engineering. New York: Macmillan, 1970. 351 p. $?.

books.gif Pappas, Theoni. The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, 1989. 237 p. $10.95.

books.gif Paulos, John Allen. Beyond Numeracy: Ruminations of a Numbers Man. New York: Alfred A. Knopf, 1991. 285 p. $10.40.

books.gif Pedoe, Dan. The Gentle Art of Mathematics. New York: Dover, 1990. 143 p. $6.95.

books.gif Pipes, Louis Albert and Harvill, Lawrence R. Applied Mathematics for Engineers and Physicists, 2nd ed. New York: McGraw-Hill, 1958. 723 p.

Pipes, Louis Albert and Harvill, Lawrence R. Applied Mathematics for Engineers and Physicists, 3rd ed. New York: McGraw-Hill, 1970. 1015 p.

Project Mathematics! The Theorem of Pythagoras, The Story of Pi, Similarity, Sines and Cosines Part 1, Sines and Cosines Part 2, Sines and Cosines Part 3, Polynomials, The Teachers Workshop, The Tunnel of Samos. A wonderful series of 22-30 minutes videotapes produced at the California Institute of Technology. Available from the Math. Assoc. Amer. for $34.90 apiece.

Råde, Lennart. and Westergren, B. Mathematics Handbook for Science and Engineering. Boston, MA: Birkhäuser, 1995. 539 p. $49.95.

Rademacher, Hans. Higher Mathematics from an Elementary Point of View. Boston, MA: Birkhäuser, 1983. $39.95.

books.gif Sawyer, W.W. Mathematician's Delight. London: Penguin, 1991. 238 p. $11.95.

books.gif Sawyer, W.W. Prelude to Mathematics. New York: Dover, 1982. 224 p. $5.95.

books.gif Schwartz, Manuel; Green, Simon; and Rutledge, W.A. Vector Analysis with Applications to Geometry and Physics. New York: Harper Brothers, 1960. 556 p.

books.gif Singh, Jagjit. Great Ideas of Modern Mathematics: Their Nature and Use. New York: Dover, 1959. 312 p. $?.

Steen, Lynn Arthur (Ed.). For All Practical Purposes: Introduction to Contemporary Mathematics. W. H. Freeman, 1988. $55.95.

Steen, Lynn Arthur (Ed.). Mathematics Today: Twelve Informal Essays. New York: Springer-Verlag, 1978. 367 p. $?.

Steen, Lynn Arthur (Ed.). Mathematics Tomorrow. New York: Springer-Verlag, 1981. 250 p. $?.

Stein, Sherman K. Mathematics: The Man-Made Universe, 2nd ed. New York: Dover, 1999. 592 p. $18.95.

books.gif Stewart, Ian. Concepts of Modern Mathematics. New York: Dover, 1995. 352 p. $8.95.

books.gif Stewart, Ian. From Here to Infinity: A Guide to Today's Mathematics. Oxford, England: Oxford University Press, 1996. 310 p. Revised version of ``The Problems of Mathematics, 2nd ed.'' $12.50.

books.gif Stewart, Ian. The Problems of Mathematics, 2nd ed. Oxford, England: Oxford University Press, 1987. 347 p. A modern classic. Highly informative and fun reading. Now out in rev. ed. entitled ``From Here to Infinity.''

Stewart, Ian. Nature's Numbers: The Unreal Reality of Mathematics. Basic Books, 1995. 176 p. $20.

Titchmarsh, E.C. Mathematics for the General Reader. 1981. $?.

Whitehead, Alfred North. An Introduction to Mathematics. New York: Oxford University Press, 1948. 191 p. $10.95.

books.gif Wylie, C. Ray. Advanced Engineering Mathematics, 2nd ed. New York: McGraw-Hill, 1960. 696 p. Now in 6th ed.

Wylie, C. Ray and Barrett, Louis C. Advanced Engineering Mathematics, 6th ed. New York: McGraw-Hill, 1995. 1372 p. $112.55.

Young, Robert M. Excursions in Calculus: An Interplay of the Continuous and the Discrete. Washington, DC: Math. Assoc. Amer., 1992. 417 p. $?.


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2003-10-07
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