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This accessible, and reader-friendly introduction to applied calculus prepares readers to deal with calculus topics when they are encountered in a variety of areas. The emphasis throughout is on computational skills, ideas, and problem solving--rather than on mathematical theory. Most derivations and proofs are omitted except where their inclusion adds significant insight into a particular concept, and general concepts and results are usually presented only after particular cases have been discussed. There are over 370 numbered worked examples, and most sections contain applied exercises from business and economics, life sciences, and social sciences. A Beginning Library of Elementary Functions. Additional Elementary Functions. The Derivative. Graphing and Optimization. Additional Derivative Topics. Integration. Additional Integration. Multivariable Calculus. Differential Equations. Taylor Polynomials and Infinite Series. Probability and Calculus. Trigonometric Functions Review. For anyone who needs a proficiency in calculus in their work in business, economics, social sciences, or life sciences.
Provides a solutions manual to accompany the twelth edition of the popular text.
This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.