●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. 目錄 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