Calculus and its applications
著者
書誌事項
Calculus and its applications
（Pearson international edition）
Pearson Education, c2012
10th ed
- : [pbk]
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注記
Previous ed.: Boston, Mass. ; Harlow : Pearson Addison-Wesley, 2008
Includes index
内容説明・目次
内容説明
Calculus and Its Applications, Tenth Edition, remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today's readers, providing intuitive explanations that work with the carefully crafted artwork to help them visualize new calculus concepts. Additionally, the text's numerous and up-to-date applications from business, economics, life sciences, and social sciences help motivate readers. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this revision is designed to motivate and help readers to more readily understand and apply the mathematics.
目次
- Preface Diagnostic Test R. Functions, Graphs, and Models R.1 Graphs and Equations R.2 Functions and Models R.3 Finding Domain and Range R.4 Slope and Linear Functions R.5 Nonlinear Funtions and Models R.6 Mathematical Modeling and Curve Fitting Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Average Price of a Movie Ticket 1. Differentiation 1.1 Limits: A Numerical and Graphical Approach 1.2 Algebraic Limits and Continuity 1.3 Average Rates of Change 1.4 Differentiation Using Limits of Difference Quotients 1.5 Differentiation Techniques: The Power and Sum-Difference Rules 1.6 Differentiation Techniques: The Product and Quotient Rules 1.7 The Chain Rule 1.8 Higher-Order Derivatives Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Path of a Baseball: The Tale of the Tape 2. Applications of Differentiation 2.1 Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs 2.2 Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs 2.3 Graph Sketching: Asymptotes and Rational Functions 2.4 Using Derivatives to Find Absolute Maximum and Minimum Values 2.5 Maximum-Minimum Problems
- Business and Economics Applications 2.6 Marginals and Differentials 2.7 Implicit Differentiation and Related Rates Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Maximum Sustainable Harvest 3. Exponential and Logarithmic Functions 3.1 Exponential Functions 3.2 Logarithmic Functions 3.3 Applications: Uninhibited and Limited Growth Models 3.4 Applications: Decay 3.5 The Derivatives of ax and logax 3.6 An Economics Application: Elasticity of Demand Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Business: Motion Picture and DVD Revenue 4. Integration 4.1 Antidifferentiation 4.2 Antiderivatives 4.3 Area and Definite Integrals 4.4 Properties of Definite Integrals 4.5 Integration Techniques: Substitution 4.6 Integration Techniques: Integration by Parts 4.7 Integration Techniques: Tables Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Business: Distribution of Wealth 5. Applications of Integration 5.1 An Economics Application: Consumer Surplus and Producer Surplus 5.2 Applications of the Integration of Growth and Decay Models 5.3 Improper Integrals 5.4 Probability 5.5 Probability: Expected Value
- The Normal Distribution 5.6 Volume 5.7 Differential Equations Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Curve Fitting and the Volume of a Bottle of Soda 6. Functions of Several Variables 6.1 Functions of Several Variables 6.2 Partial Derivatives 6.3 Maximum-Minimum Problems 6.4 An Application: The Least-Squares Technique 6.5 Constrained Optimization 6.6 Double Integrals Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Minimizing Employees' Travel Time in a Building Cumulative Review Appendix A: Review of Basic Algebra Appendix B: Regression and Microsoft Excel Appendix C: The TI MathPrint Operating System Tables Answers Index of Applications Index
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