MAA Reviews

Calculus and Precalculus: School Mathematics

Allendoerfer, C.B. and Oakley, C.O. Principles of Mathematics New York, NY: McGraw-Hill, 1963.

Auslander, Louis. What Are Numbers? Glenview, IL: Scott Foresman, 1969.

* Martin, Edward, ed. Elements of Mathematics, Book B: Problem Book St.~Louis, MO: CEMREL-CSMP, 1975.

* Rising, Gerald R., ed. Unified Mathematics, Boston, MA: Houghton Mifflin, 1981. 3 Vols.

Seymour, Dale. Visual Patterns in Pascal's Triangle Palo Alto, CA: Dale Seymour, 1986.

Webber, G. and Brown, J. Basic Concepts of Mathematics Reading, MA: Addison-Wesley, 1963.

Calculus and Precalculus: Precalculus

Allendoerfer, C.B. and Oakley, C.O. Fundamentals of Freshman Mathematics, New York, NY: McGraw-Hill, 1965. Second Edition.

Ayre, H.G.; Stephens, R.; and Mock, G.D. Analytic Geometry: Two and Three Dimensions, New York, NY: Van Nostrand Reinhold, 1967. Second Edition.

Cohen, David. Precalculus, St.~Paul, MN: West, 1984, 1989. Third Edition.

Coxford, Arthur F. and Payne, Joseph N. Advanced Mathematics: A Preparation for Calculus San Diego, CA: Harcourt Brace Jovanovich, 1984.

** Demana, Franklin D. and Leitzel, Joan R. Transition to College Mathematics Reading, MA: Addison-Wesley, 1984.

*** Demana, Franklin D. and Waits, Bert K. Precalculus Mathematics---A Graphing Approach Reading, MA: Addison-Wesley, 1990.

*** Demana, Franklin D., et al. Graphing Calculator and Computer Graphing Laboratory Manual, Reading, MA: Addison-Wesley, 1991. Second Edition.

Devlin, Keith J. Sets, Functions, and Logic: Basic Concepts of University Mathematics New York, NY: Chapman and Hall, 1981.

* Foerster, Paul A. Precalculus with Trigonometry: Functions and Applications Reading, MA: Addison-Wesley, 1987.

Grossman, Stanley I. Algebra and Trigonometry Philadelphia, PA: Saunders College, 1989.

* Kaufmann, Jerome E. College Algebra and Trigonometry, Boston, MA: PWS-Kent, 1987, 1990. Second Edition.

Larson, Loren C. Algebra and Trigonometry Refresher for Calculus Students New York, NY: W.H. Freeman, 1979.

** Leithold, Louis. Before Calculus: Functions, Graphs, and Analytic Geometry, New York, NY: Harper and Row, 1985, 1989. Second Edition.

* Lewis, Philip G. Approaching Precalculus Mathematics Discretely: Explorations in a Computer Environment Cambridge, MA: MIT Press, 1990.

Simmons, George F. Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry Los Altos, CA: William Kaufmann, 1981.

* Sobel, Max A. and Lerner, Norbert. Algebra and Trigonometry: A Pre-Calculus Approach, Englewood Cliffs, NJ: Prentice Hall, 1983, 1991. Third Edition.

* Swokowski, Earl W. Algebra and Trigonometry with Analytic Geometry, Boston, MA: PWS-Kent, 1989. Seventh Edition.

* Usiskin, Zalman. Advanced Algebra with Transformations and Applications River Forest, IL: Laidlaw Brothers, 1976.

Calculus and Precalculus: Elementary Calculus

* Anton, Howard. Calculus with Analytic Geometry, New York, NY: John Wiley, 1980, 1988. Third Edition.

Ash, Carol and Ash, Robert B. The Calculus Tutoring Book Los Angeles, CA: IEEE Computer Society, 1985.

Berry, John; Norcliffe, Allan; and Humble, Stephen. Introductory Mathematics Through Science Applications New York, NY: Cambridge University Press, 1989.

Bittinger, Marvin L. Calculus: A Modeling Approach, Reading, MA: Addison-Wesley, 1980, 1988. Fourth Edition.

Dorn, William S.; Bitter, Gary G.; and Hector, David L. Computer Applications for Calculus Boston, MA: Prindle, Weber and Schmidt, 1972.

Feroe, John and Steinhorn, Charles. Single Variable Calculus with Discrete Mathematics San Diego, CA: Harcourt Brace Jovanovich, 1991.

* Finney, Ross L. and Thomas, George B., Jr. Calculus Reading, MA: Addison-Wesley, 1990.

Fraleigh, John B. Calculus with Analytic Geometry, Reading, MA: Addison-Wesley, 1990. Third Edition.

* Goldstein, Larry J.; Lay, David C.; and Schneider, David I. Calculus and Its Applications, Englewood Cliffs, NJ: Prentice Hall, 1977, 1990. Fifth Edition.

Grossman, Stanley I. Calculus, San Diego, CA: Harcourt Brace Jovanovich, 1988. Fourth Edition.

* Hamming, Richard W. Methods of Mathematics Applied to Calculus, Probability, and Statistics Englewood Cliffs, NJ: Prentice Hall, 1985.

Henle, James M. and Kleinberg, Eugene M. Infinitesimal Calculus Cambridge, MA: MIT Press, 1979.

* Keisler, H. Jerome. Foundations of Infinitesimal Calculus Boston, MA: Prindle, Weber and Schmidt, 1976.

* Keisler, H. Jerome. Elementary Calculus, Boston, MA: Prindle, Weber and Schmidt, 1976, 1986. Second Edition.

* Kline, Morris. Calculus: An Intuitive and Physical Approach, New York, NY: John Wiley, 1977. Second Edition.

* Lax, Peter; Burstein, Samuel; and Lax, Anneli. Calculus with Applications and Computing New York, NY: Springer-Verlag, 1976.

Levi, Howard. Polynomials, Power Series, and Calculus New York, NY: Van Nostrand Reinhold, 1968.

* Marsden, Jerrold E. and Weinstein, Alan. Calculus, New York, NY: Springer-Verlag, 1985. Second Edition.

** Priestley, William M. Calculus: An Historical Approach New York, NY: Springer-Verlag, 1979.

Seeley, Robert T. Calculus San Diego, CA: Harcourt Brace Jovanovich, 1990.

* Simmons, George F. Calculus with Analytic Geometry New York, NY: McGraw-Hill, 1985.

Small, Donald B. and Hosack, John M. Explorations in Calculus with a Computer Algebra System New York, NY: McGraw-Hill, 1990.

Small, Donald B. and Hosack, John M. Calculus: An Integrated Approach New York, NY: McGraw-Hill, 1990.

** Spivak, Michael D. Calculus, Boston, MA: Publish or Perish, 1980. Second Edition.

** Stein, Sherman K. Calculus and Analytic Geometry, New York, NY: McGraw-Hill, 1982, 1987. Fourth Edition.

** Strang, Gilbert. Calculus Wellesley, MA: Wellesley-Cambridge Press, 1991.

Swokowski, Earl W. Calculus, Boston, MA: PWS-Kent, 1975, 1991. Fifth Edition.

*** Thomas, George B., Jr. and Finney, Ross L. Calculus and Analytic Geometry, Reading, MA: Addison-Wesley, 1968, 1987. Seventh Edition.

Calculus and Precalculus: Advanced Calculus

Amazigo, John C. and Rubenfeld, Lester A. Advanced Calculus and Its Applications to the Engineering and Physical Sciences New York, NY: John Wiley, 1980.

*** Apostol, Tom M. Calculus, New York, NY: John Wiley, 1967, 1969. 2 Vols., Second Edition.

Bamberg, Paul and Sternberg, Shlomo. A Course in Mathematics For Students of Physics, New York, NY: Cambridge University Press, 1988, 1990. 2~Vols.

* Bressoud, David M. Second Year Calculus New York, NY: Springer-Verlag, 1991.

Bromwich, Thomas J. l'Anson. An Introduction to the Theory of Infinite Series New York, NY: Macmillan, 1965.

** Buck, R. Creighton. Advanced Calculus, New York, NY: McGraw-Hill, 1965, 1978. Third Edition.

** Courant, Richard and John, Fritz. Introduction to Calculus and Analysis, New York, NY: Springer-Verlag, 1989. 2 Vols.

*** Courant, Richard. Differential and Integral Calculus, New York, NY: Interscience, 1937. 2 Vols.

Cronin-Scanlon, Jane. Advanced Calculus: A Start in Analysis, Lexington, MA: D.C. Heath, 1969. Revised Edition.

Fulks, Watson. Advanced Calculus, New York, NY: John Wiley, 1969, 1978. Third Edition.

Grossman, Stanley I. Multivariable Calculus, Linear Algebra, and Differential Equations, New York, NY: Academic Press, 1986. Second Edition.

*** Hardy, G.H. A Course of Pure Mathematics New York, NY: Cambridge University Press, 1959.

Hildebrand, Francis B. Advanced Calculus for Applications, Englewood Cliffs, NJ: Prentice Hall, 1962, 1976. Second Edition.

* Kaplan, Wilfred. Advanced Calculus, Reading, MA: Addison-Wesley, 1952, 1984. Third Edition.

* Knopp, Konrad. Theory and Application of Infinite Series Mineola, NY: Dover, 1990.

* Knopp, Konrad. Infinite Sequences and Series Mineola, NY: Dover, 1956.

Landau, Edmund G.H. Differential and Integral Calculus New York, NY: Chelsea, 1965.

Loomis, Lynn H. and Sternberg, Shlomo. Advanced Calculus, Boston, MA: Jones and Bartlett, 1990. Revised Edition.

Magnus, Jan R. and Neudecker, Heinz. Matrix Differential Calculus with Applications in Statistics and Econometrics New York, NY: John Wiley, 1988.

** Marsden, Jerrold E. and Tromba, Anthony J. Vector Calculus, New York, NY: W.H. Freeman, 1976, 1988. Third Edition.

* Marsden, Jerrold E. and Weinstein, Alan. Calculus III, New York, NY: Springer-Verlag, 1985. Second Edition.

Price, G. Baley. Multivariable Analysis New York, NY: Springer-Verlag, 1984.

Sagan, Hans. Advanced Calculus of Real-Valued Functions of a Real Variable and Vector-Valued Functions of a Vector Variable Boston, MA: Houghton Mifflin, 1974.

** Schey, H.M. Div, Grad, Curl, and All That: An Informal Text on Vector Calculus New York, NY: W.W. Norton, 1973.

* Simmonds, James G. A Brief on Tensor Analysis New York, NY: Springer-Verlag, 1982.

*** Spivak, Michael D. Calculus on Manifolds Reading, MA: W.A. Benjamin, 1965.

Taylor, Angus E. and Mann, W. Robert. Advanced Calculus, New York, NY: John Wiley, 1983. Third Edition.

* Widder, David V. Advanced Calculus, Mineola, NY: Dover, 1987. Second Edition.

Williamson, Richard E.; Crowell, Richard H.; and Trotter, Hale F. Calculus of Vector Functions, Englewood Cliffs, NJ: Prentice Hall, 1972. Third Edition.

Calculus and Precalculus: Supplementary Resources

** Apostol, Tom M., ed. Selected Papers on Calculus Washington, DC: Mathematical Association of America, 1969.

** Apostol, Tom M., et al., eds. Selected Papers on Precalculus Washington, DC: Mathematical Association of America, 1977.

Bluman, George W. Problem Book for First Year Calculus New York, NY: Springer-Verlag, 1984.

** Cipra, Barry. Misteaks ots and How to Find Them Before the Teacher Does ots , New York, NY: Academic Press, 1989. Second Edition.

* De Mestre, Neville. The Mathematics of Projectiles in Sport New York, NY: Cambridge University Press, 1990.

* Dobbins, Robert R. If And Only If in Analysis Lanham, MD: University Press of America, 1977.

* Grinstein, Louise S. and Michaels, Brenda, eds. Calculus: Readings from the Mathematics Teacher Reston, VA: National Council of Teachers of Mathematics, 1977.

* Klambauer, Gabriel. Aspects of Calculus New York, NY: Springer-Verlag, 1986.

* May, Kenneth O., ed. Lectures on Calculus San Francisco, CA: Holden-Day, 1967.

Mendelson, Elliott. Schaum's 3000 Solved Problems in Calculus New York, NY: McGraw-Hill, 1988.

*** Sawyer, W.W. What is Calculus About? Washington, DC: Mathematical Association of America, 1975.

* Swann, Howard and Johnson, John. Prof. E. McSquared's Expanded Intergalactic Version: A Calculus Primer Providence, RI: Janson, 1989.

** Toeplitz, Otto. Calculus: A Genetic Approach Chicago, IL: University of Chicago Press, 1963.