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关键词：
Calculus and Its Applications
书目信息
ISBN：
9780131919631（13位）
中图分类号：
O1
杜威分类号：
中文译名：
微积分及其应用
作者：
Larry J Goldstein; David I Schneider; David I. Lay; Nakhle Asmar
编者：
语种：
English
出版信息
出版社：
Prentice Hall
出版地：
出版年：
2007
版本：
11
版本类型：
原版
丛书题名：
卷期：
文献信息
关键词：
Mathematics
前言：
摘要：
内容简介：
目次：
Contents Preface Introduction 0 Functions 0.1 Functions and Their Graphs 0.2 Some Important Functions 0.3 The Algebra of Functions 0.4 Zeros of Functions—The Quadratic Formula and Factoring 0.5 Exponents and Power Functions 0.6 Functions and Graphs in Applications Graphing Functions Using Technology 1 The Derivative 1.1 The Slope of a Straight Line 1.2 The Slope of a Curve at a Point 1.3 The Derivative 1.4 Limits and the Derivative 1.5 Differentiability and Continuity 1.6 Some Rules for Differentiation 1.7 More About Derivatives 1.8 The Derivative as a Rate of Change 2 Applications of the Derivative 2.1 Describing Graphs of Functions 2.2 The First and Second Derivative Rules 2.3 Curve Sketching (Introduction) 2.4 Curve Sketching (Conclusion) 2.5 Optimization Problems 2.6 Further Optimization Problems 2.7 Applications of Derivatives to Business and Economics 3 Techniques of Differentiation 3.1 The Product and Quotient Rules 3.2 The Chain Rule and the General Power Rule 3.3 Implicit Differentiation and Related Rates 4 Logarithm Functions 4.1 Exponential Functions 4.2 The Exponential Function ex 4.3 Differentiation of Exponential Functions 4.4 The Natural Logarithm Function 4.5 The Derivative of ln x 4.6 Properties of the Natural Logarithm Function 5 Applications of the Exponential and Natural Logarithm Functions 5.1 Exponential Growth and Decay 5.2 Compound Interest 5.3 Applications of the Natural Logarithm Function to Economics 5.4 Further Exponential Models 6 The Definite Integral 6.1 Antidifferentiation 6.2 Areas and Riemann Sums 6.3 Definite Integrals and the Fundamental Theorem 6.4 Areas in the xy-Plane 6.5 Applications of the Definite Integral 7 Functions of Several Variables 7.1 Examples of Functions of Several Variables 7.2 Partial Derivatives 7.3 Maxima and Minima of Functions of Several Variables 7.4 Lagrange Multipliers and Constrained Optimization 7.5 The Method of Least Squares 7.6 Nonlinear Regression 7.7 Double Integrals 8 The Trigonometric Functions 8.1 Radian Measure of Angles 8.2 The Sine and the Cosine 8.3 Differentiation and Integration of sin t and cos t 8.4 The Tangent and Other Trigonometric Functions 9 Techniques of Integration 9.1 Integration by Substitution 9.2 Integration by Parts 9.3 Evaluation of Definite Integrals 9.4 Approximation of Definite Integrals 9.5 Some Applications of the Integral 9.6 Improper Integrals 10 Differential Equations 10.1 Solutions of Differential Equations 10.2 Separation of Variables 10.3 First-Order Linear Differential Equations 10.4 Applications of First-Order Linear Differential Equations 10.5 Graphing Solutions of Differential Equations 10.6 Applications of Differential Equations 10.7 Numerical Solution of Differential Equations 11 Taylor Polynomials and Infinite Series 11.1 Taylor Polynomials 11.2 The Newton-Raphson Algorithm 11.3 Infinite Series 11.4 Series with Positive Terms 11.5 Taylor Series 12 Probability and Calculus 12.1 Discrete Random Variables 12.2 Continuous Random Variables 12.3 Expected Value and Variance 12.4 Exponential and Normal Random Variables 12.5 Poisson and Geometric Random Variables Appendix A Calculus and the TI-82 Calculator Appendix B Calculus and the TI-83/TI-83 Plus/TI-84 Plus Calculators Appendix C Calculus and the TI-85 Calculator Appendix D Calculus and the TI-86 Calculator Appendix E Areas under the Standard Normal Curve Answers to Exercises Index I1
附录：
全文链接：
读者对象：
实体信息
页码：
700
装帧：
Cloth
尺寸：
其它形态细节：
其它信息
原价：
USD
114.0000
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
0131919636
issue：
2006JC01
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