Synopses & Reviews
"Chapters 1-5 of this book contain all the material normally included in a third semester multivariable calculus course. Chapters 6-10 cover such topics as Fourier series, Green's and Stokes's Theorems, and the implicit function theorem. The authors have made their treatment of the topics in the second half of the book as independent of each other as possible, giving the instructor a high degree of flexibility in structuring the course. This part of the book provides the topics for a thorough introduction to advanced calculus. A brief chapter on linear algebra is included in the Appendix."
Review
"""Thorough coverage of multivariable calculus topics from the geometry of R3 through vector integration. Includes chapters on infinite series (including Fourier series) and appended material on matrices and determinants. Flexible treatment allows for a variety of syllabi."" THE AMERICAN MATHEMATICAL MONTHLY"
Table of Contents
1: Analytic Geometry in Three Dimensions
2: Vectors
3: Infinite Series
4: Partial Derivatives
5: Multiple Integration
6: Fourier Series
7: Implicit Function Theorems. Jacobians
8: Differentiation under the Integral Sign. Improper Integrals. The Gamma Function
9: Vector Field Theory
10: Green's and Stoke's Theorems
x Appendix I: Matrices and Determinants
x Appendix II: Proofs of Theorems 6, 10, 16, 17 of Chapter 2
x Appendix III: Introduction to the Use of a Table of Integrals
x A Short Table of Integrals
x Answers to Odd-Numbered Problems
x Index"