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 About this Textbook

Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in threedimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be selfcontained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.
 Reviews

P.C. Matthews
Vector Calculus
"Written for undergraduate students in mathematics, the book covers the material in a comprehensive but concise manner, combining mathematical rigor with physical insight. There are many diagrams to illustrate the physical meaning of the mathematical concepts, which essential for a full understanding of the subject." — ZENTRALBLATT MATH
 Table of contents (8 chapters)


Vector Algebra
Pages 120

Line, Surface and Volume Integrals
Pages 2143

Gradient, Divergence and Curl
Pages 4564

Suffix Notation and its Applications
Pages 6582

Integral Theorems
Pages 8398

Table of contents (8 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Vector Calculus
 Authors

 Paul C. Matthews
 Series Title
 Springer Undergraduate Mathematics Series
 Copyright
 1998
 Publisher
 SpringerVerlag London
 Copyright Holder
 SpringerVerlag London
 eBook ISBN
 9781447105978
 DOI
 10.1007/9781447105978
 Softcover ISBN
 9783540761808
 Series ISSN
 16152085
 Edition Number
 1
 Number of Pages
 X, 182
 Number of Illustrations
 1 b/w illustrations
 Topics