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Table of Contents

Chapter 0. Before Calculus Chapter 1. Limits and Continuity Chapter 2. The Derivative Chapter 3. The Derivative in Graphing and Applications Chapter 4. Integration Chapter 5. Applications of the Definite Integral in Geometry, Science and Engineering Chapter 6. Exponential, Logarithmic, and Inverse Trigonometric Functions Chapter 7. Principles of Integral Evaluation Chapter 8. Mathematical Modeling with Differential Equations Chapter 9. Infinite Series Chapter 10. Parametric and Polar Curves; Conic Sections Chapter 11. Three-Dimensional Space; Vectors Chapter 12. Vector-Valued Functions Chapter 13. Partial Derivatives Chapter 14. Multiple Integrals Chapter 15. Topics in Vector Calculus Appendix A: Graphing Functions Using Calculators and Computer Algebra Systems Appendix B: Trigonometry Review Appendix C: Solving Polynomial Equations Appendix D: Mathematical Models Appendix E: Selected Proofs Web Appendices Appendix F: Real Numbers, Intervals, and Inequalities Appendix G: Absolute Value Appendix H: Coordinate Planes, Lines, and Linear Functions Appendix I: Distance, Circles, and Quadratic Functions Appendix J: Second-Order Linear Homogeneous Differential Equations; The Vibrating String Appendix K: The Discriminant

About the Author

Howard Anton obtained his B.A. from LehighUniversity, his M.A. from the University of Illinois, and his Ph.D. from the Polytechnic University of Brooklyn, all in mathematics. In the early 1960's he worked for Burroughs Corporation and Avco Corporation at Cape Canaveral, Florida, where he was involved with the manned space program. In 1968 he joined the Mathematics Department at Drexel University, where he taught full time until 1983. Since that time he has been an adjunct professor at Drexel and has devoted the majority of his time to textbook writing and activities for mathematical associations. Dr. Anton was president of the EPADEL Section of the Mathematical Association of America (MAA), Served on the board of Governors of that organization, and guided the creation of the Student Chapters of the MAA. He has published numerous research papers in functional analysis, approximation theory, and topology, as well as pedagogical papers. He is best known for his textbooks in mathematics, which are among the most widely used in the world. There are currently more than one hundred versions of his books, including translations into Spanish, Arabic, Portuguese, Italian, Indonesian, French, Japanese, Chinese, Hebrew, and German. For relaxation, Dr. Anton enjoys traveling and photography.

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