## Browse content

### Table of contents

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#### I - Euclidean Space and Linear Mappings

Pages 1-55 - Book chapterAbstract only
#### II - Multivariable Differential Calculus

Pages 56-159 - Book chapterAbstract only
#### III - Successive Approximations and Implicit Functions

Pages 160-202 - Book chapterAbstract only
#### IV - Multiple Integrals

Pages 203-285 - Book chapterAbstract only
#### V - Line and Surface Integrals; Differential Forms and Stokes' Theorem

Pages 286-401 - Book chapterAbstract only
#### VI - The Calculus of Variations

Pages 402-444 - Book chapterNo access
#### APPENDIX - The Completeness of

*R*Pages 445-448 - Book chapterNo access
#### Suggested Reading

Pages 449-451 - Book chapterNo access
#### Subject Index

Pages 453-457

## About the book

### Description

Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.

Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.

## Details

### ISBN

978-0-12-232550-2

### Language

English

### Published

1973

### Copyright

Copyright © 1973 Elsevier Inc. All rights reserved.

### Imprint

Academic Press