Synopses & Reviews
This book gives a comprehensive and thorough introduction to ideas and major results of the theory of functions of several variables and of modern vector calculus in two and three dimensions. Clear and easy-to-follow writing style, carefully crafted examples, wide spectrum of applications and numerous illustrations, diagrams, and graphs invite students to use the textbook actively, helping them to both enforce their understanding of the material and to brush up on necessary technical and computational skills. Particular attention has been given to the material that some students find challenging, such as the chain rule, Implicit Function Theorem, parametrizations, or the Change of Variables Theorem.
Synopsis
With this book, readers will develop a strong foundation in the theory of functions of several variables and of modern vector calculus in two and three dimensions. It utilizes a clear and easy-to-follow writing style along with carefully crafted examples and numerous illustrations to explain complex concepts. A wide range of applications are also integrated throughout the pages, helping readers gain a better understanding of the material as well as brush up on necessary technical and computational skills.
Synopsis
Miroslav Lovric, Ph.D, is Associate Professor in the Department of Mathematics and Statistics at McMaster University in Ontario, Canada.
Table of Contents
Chapter 1: Vectors, Matrices, and Applications.
Chapter 2: Calculus of Functions of Several Variables.
Chapter 3: Vector-Valued Functions of One Variable.
Chapter 4: Scalar and Vector Fields.
Chapter 5: Integration Along Paths.
Chapter 6: Double and Triple Integrals.
Chapter 7: Integrations Over Surfaces, Properties, and Applications of Integrals.
Chapter 8: Classical Integration Theorems of Vector Calculus.
Appendix A: Various Results Used in This Book and Proofs of Differentiation Theorems.
Appendix B: Answers to Odd-Numbered Exercises.
Index.