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*Precision and Clarity: Emphasis on mathematical exposition-an accurate and understandable treatment of the topics. The mathematical statements are careful and precise. The basic concepts and important points are not obscured by excess verbiage. * Accessibility: Completely accessible to the beginning calculus student without sacrificing mathematical rigor. * Balance of Theory and Applications: Problems drawn from the sciences and engineering are used to motivate calculus concepts and these concepts, in return, are applied to a variety of disciplines in the examples and exercises.
Chapter 1. Precalculus Review
Chapter 2. Limits and Continuity
Chapter 3. Differentiation
Chapter 4. The Mean-Value Theorem and Applications
Chapter 5. Integration
Chapter 6. Applications of the Integral
Chapter 7. The Transcendental Functions
Chapter 8. Techniques of Integration
Chapter 9. The Conic Sections; Polar Coordinates; Parametric Equations
Chapter 10. Sequences; Indeterminate Forms; Improper Integrals
Chapter 11. Infinite Series
Appendix A
Appendix B. Some Additional Topics
Answers to Odd-Numbered Exercises
Index
Tables of Integrals
*Precision and Clarity: Emphasis on mathematical exposition-an accurate and understandable treatment of the topics. The mathematical statements are careful and precise. The basic concepts and important points are not obscured by excess verbiage. * Accessibility: Completely accessible to the beginning calculus student without sacrificing mathematical rigor. * Balance of Theory and Applications: Problems drawn from the sciences and engineering are used to motivate calculus concepts and these concepts, in return, are applied to a variety of disciplines in the examples and exercises.
Table of Contents
Chapter 1. Precalculus Review
Chapter 2. Limits and Continuity
Chapter 3. Differentiation
Chapter 4. The Mean-Value Theorem and Applications
Chapter 5. Integration
Chapter 6. Applications of the Integral
Chapter 7. The Transcendental Functions
Chapter 8. Techniques of Integration
Chapter 9. The Conic Sections; Polar Coordinates; Parametric Equations
Chapter 10. Sequences; Indeterminate Forms; Improper Integrals
Chapter 11. Infinite Series
Appendix A
Appendix B. Some Additional Topics
Answers to Odd-Numbered Exercises
Index
Tables of Integrals