Vector Calculus

Author: Cox   William  

Publisher: Elsevier Science‎

Publication year: 1998

E-ISBN: 9780080572956

P-ISBN(Paperback): 9780340677414

P-ISBN(Hardback):  9780340677414

Subject: O183.1 vector analysis

Language: ENG

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Description

Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration.

Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differential equations will find it a useful introduction and basic reference.

Chapter

Front Cover

pp.:  1 – 4

Vector Calculus

pp.:  4 – 5

Copyright Page

pp.:  5 – 6

Table of Contents

pp.:  6 – 9

Series Preface

pp.:  9 – 10

Preface

pp.:  10 – 11

Acknowledgement

pp.:  11 – 12

Chapter 2. Functions of More Than One Variable

pp.:  21 – 34

Chapter 3. Limits and Continuity: Analytical Aspects

pp.:  34 – 52

Chapter 4. Differentiation of Functions of More Than One Variable

pp.:  52 – 74

Chapter 5. Differentiability: Analytical Aspects

pp.:  74 – 87

Chapter 6. Taylor Series for Functions of Several Variables

pp.:  87 – 108

Chapter 7. Multiple Integration

pp.:  108 – 147

Chapter 8. Functions of a Vector

pp.:  147 – 169

Chapter 9. Vector Differential Operators

pp.:  169 – 197

Chapter 10. Integrationin Vector Fields

pp.:  197 – 228

Bibliography

pp.:  228 – 229

Solutions to Exercises

pp.:  229 – 252

Index

pp.:  252 – 258

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