Advanced Calculus of Several Variables

✍ Scribed by C. H. Edwards (Auth.)

• Publisher: Elsevier Inc, Academic Press Inc
• Year: 1973
• Tongue: English
• Leaves: 461
• Category: Library

✦ Synopsis

Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
PREFACE, Pages ix-x
I - Euclidean Space and Linear Mappings, Pages 1-55
II - Multivariable Differential Calculus, Pages 56-159
III - Successive Approximations and Implicit Functions, Pages 160-202
IV - Multiple Integrals, Pages 203-285
V - Line and Surface Integrals; Differential Forms and Stokes' Theorem, Pages 286-401
VI - The Calculus of Variations, Pages 402-444
APPENDIX - The Completeness of R, Pages 445-448
Suggested Reading, Pages 449-451
Subject Index, Pages 453-457