Calculus (mathematics) - Further Reading


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Calculus (mathematics)

Calculus | Mathematics | Numbers and mathematical symbols

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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.

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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Numbers and mathematical symbols

Crump, Thomas. The Anthropology of Numbers. Cambridge University Press, 1992. Explains the part numbers play across cultures.

Enzensberger, Hans Magnus. Trans. Michael Henry Heim. The Number Devil: A Mathematical Adventure. Metropolitan, 1998. Through a series of dreams, a young boy who hates math explores the amazing world of numbers, including infinite, prime, and Fibonacci numbers. For younger readers.

Guedj, Denis. Trans. Lory Frankel. Numbers: The Universal Language. Abrams, 1998. Well-illustrated history on the use of numbers.

Hoffman, Paul. The Man Who Loved Only Numbers: The Story of Paul Erdos and the Search for Mathematical Truth. Hyperion, 1998. Biographical account of a mathematical genius known for his complete devotion to his work.

Ifrah, Georges The Universal History of Numbers: From Prehistory to the Invention of the Computer. Wiley, 1999. A history of numbers and counting systems.

Maor, Eli. e: The Story of a Number. Princeton University Press, 1994, 1998. A mathematician discusses the history of a number important in theoretical mathematics; intended for the general reader.

Menninger, Karl. Number Words and Number Symbols: A Cultural History of Numbers. MIT Press, Reprint, Dover, 1969. 1992. Comprehensive study of spoken and symbolic numbers.

Paulos, John Allen. Innumeracy: Mathematical Illiteracy and Its Consequences. Hill and Wang, Reprint, Vintage, 1988. 1990. How the public is misled by a lack of mathematical and statistical knowledge.

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