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- 题名/责任者:
- The calculus lifesaver : all the tools you need to excel at calculus / Adrian Banner.
- 出版发行项:
- Princeton, NJ : Princeton University Press, c2007.
- ISBN:
- 9780691131535
- ISBN:
- 0691131538
- ISBN:
- 9780691130880 (pbk.)
- ISBN:
- 0691130884 (pbk.)
- 载体形态项:
- xxi, 728 p. : ill. ; 26 cm.
- 个人责任者:
- Banner, Adrian D., 1975-
- 论题主题:
- Calculus.
- 中图法分类号:
- O17
- 一般附注:
- Includes index.
- 内容附注:
- Functions, graphs, and lines -- Review of trigonometry -- Introduction to limits -- How to solve limit problems involving polynomials -- Continuity and differentiability -- How to solve differentiation problems -- Trig limits and derivatives -- Implicit differentiation and related rates -- Exponentials and logarithms -- Inverse functions and inverse trig functions -- The derivative and graphs -- Sketching graphs -- Optimization and linearization -- L'H猱癷tal's Rule and overview of limits -- Introduction to integration -- Definite integrals -- The fundamental theorems of calculus -- Techniques of integration, part one -- Techniques of integration, part two -- Improper integrals : basic concepts -- Improper integrals : how to solve problems -- Sequences and series : basic concepts -- How to solve series problems -- Taylor polynomials, Taylor series, and power series -- How to solve estimation problems -- Taylor and power series : how to solve problems -- Parametric equations and polar coordinates -- Complex numbers -- Volumes, arc lengths, and surface areas -- Differential equations.
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