Equations, Theory of - Further Reading

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Equations, Theory of

Algebra | Calculus | Mathematics

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Algebra

Birkhoff, Garrett, and Saunders MacLane. A Survey of Modern Algebra. A. K. Peters, 1997. Undergraduate textbook on abstract algebra.

Bittinger, Marvin L. Introductory Algebra. 9th ed. Longman, 2002. A popular text for high school algebra.

Klein, Jacob. Trans. Eva Brann. Greek Mathematical Thought and the Origin of Algebra. MIT Press, Reprint, Dover, 1968. 1992. Examines the foundations and history of modern algebra.

Selby, Peter H., and Steve Slavin. Practical Algebra: A Self-Teaching Guide. Wiley, 1991. For adults who haven't studied math in some time.

Calculus

Berlinski, David. A Tour of the Calculus. Pantheon, 1996, Vintage, 1997. An informal history of the foundations of calculus.

Boyer, Carl B. History of the Calculus and Its Conceptual Development. Dover, 1989. Classic history of the development of calculus from ancient times.

Oman, Robert M., and Daniel M. Oman. Calculus for the Utterly Confused. McGraw-Hill, 1998. Step-by-step guide for nonengineering majors; presents 200 solved problems in an entertaining style and attractive format.

Rudolph, Martin. EZ-101 Calculus. Barron's Educational, 2002. Excellent review for students preparing to take tests in the subject.

Thompson, Silvanus Philips, and Martin Gardner. Calculus Made Easy. Rev. ed. St. Martin's, 1998. Updated version of classic primer that clarifies calculus for the average reader.

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Mathematics

Ascher, Marcia. Ethnomathematics: A Multicultural View of Mathematical Ideas. Brooks/Cole, Reprint, Chapman & Hall, 1991. 1994. Features mathematical ideas from cultures around the world.

Bell, E. T. Men of Mathematics. Simon & Schuster, Reprint, Touchstone, 1961. 1986. Classic work emphasizes the personalities of famous mathematicians.

Boyer, Carl B. A History of Mathematics. Wiley, 1991. Classic survey.

Courant, Richard, and Herbert Robbins. What Is Mathematics? An Elementary Approach to Ideas and Methods. 2nd ed. Oxford University Press, 1996. Clear and engaging introduction to mathematics.

Derbyshire, John. Prime Obsession: Bernhard Riemann & the Greatest Unsolved Problem. Joseph Henry Press, 2003. Biography of Riemann alternating with a step-by-step explanation of his mathematical assertion.

Devlin, Keith. The Millennium Problems: The Seven Greatest Unsolved Mathematical Problems of Our Time. Basic Books, 2002. Anyone who solves one of these problems is eligible for a million-dollar prize.

Dunham, William. Journey Through Genius: The Great Theorems of Mathematics. Penguin, 1990, 1991. Informative and lively exploration of the ideas that have shaped mathematical research.

Eves, Howard. An Introduction to the History of Mathematics. Saunders, 1990. College text; good history of elementary mathematics.

Grinstein, Louise M. Ed. Paul Campbell. Women of Mathematics: A Bibliographic Sourcebook. Greenwood, 1987. Biographical sketches of 43 female mathematicians.

Gullberg, Jan. Mathematics From the Birth of Numbers Norton, 1997. An entertaining tour of mathematics.

Hogben, Lancelot. Mathematics for the Million: How to Master the Magic of Numbers. Norton, 1968, 1993. Popular classic illustrating historic and social aspects of mathematics.

Peterson, Ivars. The Mathematical Tourist: New and Updated Snapshots of Modern Mathematics. Freeman, 1988, 1998. Well-illustrated, easily understandable mathematical examples from academic and daily life.

Schwartz, David, and Marissa Moss. G Is for Googol: A Math Alphabet Book. Tricycle, 1998. Uses the alphabet to introduce mathematical terms, from abacus to zillion. For younger readers.

Smith, Karl J. The Nature of Mathematics. Brooks/Cole, 1998. Easygoing text for nonscientists.

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