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General Mathematical texts (book list)

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This is a section of the Basic Math Library List. Please help to improve the article.


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The subject description:

  General
  References, Dictionaries, Handbooks (general), Encyclopedias. Miscellany.



Dictionaries

Ballentyne, D.W.G. and Lovett, D.R. A Dictionary of Named Effects and Laws in Chemistry, Physics, and Mathematics, New York, NY: Chapman and Hall, 1980. Fourth Edition.

Borowski, E.J. and Borwein, Jonathan M. Collins Reference Dictionary of Mathematics New York, NY: Harper Perennial 1991.

  • Daintith, John and Nelson, R.D., eds. The Penguin Dictionary of Mathematics New York, NY: Penguin, 1989.

Howson, A. Geoffrey. A Handbook of Terms Used in Algebra and Analysis New York, NY: Cambridge University Press, 1972.

    • James, Glenn and James, Robert C., eds. Mathematical Dictionary, New York, NY: Van Nostrand Reinhold, 1976. Fourth Edition.

Sneddon, I.N., ed. Encyclopedic Dictionary of Mathematics for Engineers and Applied Scientists Elmsford, NY: Pergamon Press, 1976.

Tietjen, Gary L. A Topical Dictionary of Statistics New York, NY: Chapman and Hall, 1986.


Handbooks

  • Abramowitz, Milton and Stegun, Irene A., eds. Handbook of Mathematical Functions Mineola, NY: Dover, 1965.

Barnett, Stephen and Cronin, T.M. Mathematical Formulae for Engineering and Science Students, London: Bradford University Press, 1979. Third Edition.

Bartsch, Hans-Jochen and Liebscher, Herbert. Handbook of Mathematical Formulas New York, NY: Academic Press, 1974.

  • Beyer, William H., ed. CRC Standard Probability and Statistics Tables and Formulae Boca Raton, FL: CRC Press, 1990.
  • Beyer, William H., ed. CRC Standard Mathematical Tables and Formulas, Boca Raton, FL: CRC Press, 1991. 29th Edition.
      • Beyer, William H., ed. CRC Handbook of Mathematical Sciences, Boca Raton, FL: CRC Press, 1987. Sixth Edition.
    • Boas, Ralph P., Jr., ed. A.J. Lohwater's Russian-English Dictionary of the Mathematical Sciences, Providence, RI: American Mathematical Society, 1990. Second Edition, Revised and Expanded.
  • Borwein, Jonathan M. and Borwein, Peter B. A Dictionary of Real Numbers Belmont, CA: Wadsworth, 1990.
  • Bronshtein, I.N. and Semendyayev, K.A. Handbook of Mathematics New York, NY: Van Nostrand Reinhold, 1985.
    • Burington, Richard S. and May, Donald C., Jr. Handbook of Probability and Statistics with Tables, New York, NY: McGraw-Hill, 1970. Second Edition.
  • Gould, Sydney H. Russian for the Mathematician New York, NY: Springer-Verlag, 1972.

Gradshteyn, I.S. and Ryzhik, I.M. Table of Integrals, Series, and Products, New York, NY: Academic Press, 1966, 1980.

Grazda, Edward E., ed. Handbook of Applied Mathematics, Melbourne, FL: Robert E. Krieger, 1977. Fourth Edition.

Hutchinson, T.P. and Lai, C.D. Continuous Bivariate Distributions, Emphasizing Applications Adelaide, Australia: Rumsby Scientific, 1990.

Jolley, L.B.W. Summation of Series, Mineola, NY: Dover, 1961. Second Revised Edition.

Lawrence, J. Dennis. A Catalog of Special Plane Curves Mineola, NY: Dover, 1972.

Patel, Jagdish K.; Kapadia, C.H.; and Owen, D.B. Handbook of Statistical Distributions New York, NY: Marcel Dekker, 1976.

    • Sloane, N.J.A. A Handbook of Integer Sequences New York, NY: Academic Press, 1973.

Spanier, Jerome and Oldham, Keith B. An Atlas of Functions New York, NY: Hemisphere, 1987.

Wells, David. The Penguin Dictionary of Curious and Interesting Geometry New York, NY: Penguin, 1991.

    • Zwillinger, Daniel. Handbook of Differential Equations New York, NY: Academic Press, 1989.
  • von Seggern, David H. CRC Handbook of Mathematical Curves and Surfaces Boca Raton, FL: CRC Press, 1990.


Reference: Encyclopedias

Abbott, David, ed. The Biographical Dictionary of Scientists and Mathematicians New York, NY: Peter Bedrick, 1986.

      • American Council of Learned Societies. Biographical Dictionary of Mathematicians New York, NY: Charles Scribner's, 1991.
  • Gellert, Walter, et al., eds. The VNR Concise Encyclopedia of Mathematics New York, NY: Van Nostrand Reinhold, 1975.
    • Gillispie, Charles C., ed. Dictionary of Scientific Biography, New York, NY: Charles Scribner's, 1970--90. 16 Vols. plus Suppl.
      • Iyanaga, Shokichi and Kawada, Yukiyosi, eds. Encyclopedic Dictionary of Mathematics Cambridge, MA: MIT Press, 1977, 1986.
    • Kotz, Samuel and Johnson, Norman L., eds. Encyclopedia of Statistical Sciences New York, NY: John Wiley, 1982--88.

Kruskal, William H. and Tanur, Judith M., eds. International Encyclopedia of Statistics New York, NY: Free Press, 1978.

Shapiro, Max S., ed. Mathematics Encyclopedia New York, NY: Doubleday, 1977.


Reference: Bibliographies

Anderson, T.W.; Gupta, Somesh Das; and Styan, George P.H. A Bibliography of Multivariate Statistical Analysis Melbourne, FL: Robert E. Krieger, 1977.

    • Dauben, Joseph W. The History of Mathematics from Antiquity to the Present: A Selective Bibliography New York, NY: Garland, 1985.

Dick, Elie M. Current Information Sources in Mathematics: An Annotated Guide to Books and Periodicals, 1960--1972 Littleton, CO: Libraries Unlimited, 1973.

Dorling, A.R., ed. Use of Mathematical Literature Woburn, MA: Butterworth, 1977.

  • Gaffney, Matthew P. and Steen, Lynn Arthur. Annotated Bibliography of Expository Writing in the Mathematical Sciences Washington, DC: Mathematical Association of America, 1976.

Greenwood, J. Arthur and Hartley, H.O. Guide to Tables in Mathematical Statistics Princeton, NJ: Princeton University Press, 1962.

H yrup, Else. Books About Mathematics: A Bibliography Roskilde: Roskilde University Center, 1979.

Kendall, Maurice and Doig, A.G. Bibliography of Statistical Literature New York, NY: Hafner Press, 1965.

Lancaster, H.O. Bibliography of Statistical Bibliographies Edinburgh, Scotland: Oliver and Boyd, 1968.

  • May, Kenneth O. Bibliography and Research Manual of the History of Mathematics Toronto: University of Toronto Press, 1973.

Pemberton, John E. How To Find Out in Mathematics, Elmsford, NY: Pergamon Press, 1970. Second Revised Edition.

    • Schaaf, William L. A Bibliography of Recreational Mathematics, Reston, VA: National Council of Teachers of Mathematics, 1955--78. 4 Vols.

Schaaf, William L. Mathematics and Science: An Adventure in Postage Stamps Reston, VA: National Council of Teachers of Mathematics, 1978.

Schaaf, William L. The High School Mathematics Library Reston, VA: National Council of Teachers of Mathematics, 1976, 1987.

Schaefer, Barbara K. Using the Mathematical Literature: A Practical Guide New York, NY: Marcel Dekker, 1979.

  • Steen, Lynn Arthur, ed. Library Recommendations for Undergraduate Mathematics Washington, DC: Mathematical Association of America, 1992.

Wheeler, Margariete M. Mathematics Library: Elementary and Junior High School, Reston, VA: National Council of Teachers of Mathematics, 1960, 1986. Fifth Edition.


Reference: International Congresses

Gleason, Andrew M., ed. Proceedings of the International Congress of Mathematicians, August 3--11, 1986 Providence, RI: American Mathematical Society, 1987.

James, R.D., ed. Proceedings of the International Congress of Mathematicians, Montreal: Canadian Mathematical Congress, 1975. 2 Vols.

Lehto, Olli, ed. Proceedings of the International Congress of Mathematicians, Helsinki, 1978, Helsinki: University of Helsinki, 1979. 2 Vols.

Olech, Czeslaw and Ciesielski, Zbigniew, eds. Proceedings of the International Congress of Mathematicians, August 16--24, 1983, Warszawa New York, NY: Elsevier Science, 1984.


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.


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: 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.

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