Advanced Calculus of Several Variables
eBook - PDF

Advanced Calculus of Several Variables

  1. 470 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Advanced Calculus of Several Variables

Book details
Table of contents
Citations

About This Book

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.

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Yes, you can access Advanced Calculus of Several Variables by C. H. Edwards in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483268057
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Front Cover
  2. Advanced Calculus of Several Variables
  3. Copyright Page
  4. Dedication
  5. Table of Contents
  6. PREFACE
  7. Chapter I. Euclidean Space and Linear Mappings
  8. Chapter II. Multivariable Differential Calculus
  9. Chapter III. Successive Approximations and Implicit Functions
  10. Chapter IV. Multiple Integrals
  11. Chapter V. Line and Surface Integrals; Differential Forms and Stokes' Theorem
  12. Chapter VI. The Calculus of Variations
  13. APPENDIX: The Completeness of R
  14. Suggested Reading
  15. Subject Index