Calculus: One and Several Variables, 10/e (IE-Paperback)

本書序言

●More examples, clarifications, and explanatory materials have been added throughout the text as appropriate.
●The technology exercises using CAS or calculators have been rewritten and new exercises added throughout the text.
●Additional media resources have been created to support the text.
●Content structure changes include:
●The section on related rates has been moved from chapter 3 to 4.
●A new brief chapter on differential equations has been added.
Updated or refreshed data has been incorporated in selected exercises and examples
●Review exercise sets have been added to the end of each chapter.
●Additional applications from a variety of fields have been added where appropriate.

本書特色

●Precision and Clarity.  Mathematical statements are careful and precise and the basic concepts and important points are not obscured by excess verbiage.
●Accessibility. This text is completely accessible to the beginning calculus student without sacrificing mathematical rigor.
●Balance of Theory and Applications. Many problems are drawn from the sciences and engineering fields to help motivate students.

Chapter 0. Precalculus Review.
Chapter 1. Limits and Continuity.
Chapter 2. The Derivative; The Process of Differentiation.
Chapter 3. The Mean-Value Theorem; Applications of the First and Second Derivatives.
Chapter 4. Integration.
Chapter 5. Some Applications of the Integral.
Chapter 6. The Transcendental Functions.
Chapter 7. Techniques of Integration. 
Chapter 8. Some Differential Equations. 
Chapter 9. The Conic Sections; Polar Coordinates; Parametric Equations. 
Chapter 10. Sequences; Indeterminate Forms; Improper Integrals.
Chapter 11. Infinite Series.
Chapter 12. Vectors in Three-Dimentional Space.
Chapter 13. Vector Calculus.
Chapter 14. Functions of Several Variables.
Chapter 15. Gradients; Extreme Values; Differentials.
Chapter 16. Double And Triple Integrals.
Chapter 17. Line Integrals and Surface Integrals.
Chapter 18. Additional Differential Equations.
Appendix A. Some Additional Topics.
Appendix B. Some Additional Proofs.
Appendix C. Table of Integrals
Appendix D. Answers to Odd-Numbered Exercises