Description |
1 online resource (314 pages) |
Series |
De Gruyter textbook |
|
De Gruyter textbook.
|
Contents |
Frontmatter -- Contents -- Preface -- 1. Introduction -- 2. Calculus of Vector Functions -- 3. Tangent Spaces and 1-forms -- 4. Line Integrals -- 5. Differential Calculus of Mappings -- 6. Applications of Differential Calculus -- 7. Double and Triple Integrals -- 8. Wedge Products and Exterior Derivatives -- 9. Integration of Forms -- 10. Stokes' Theorem and Applications -- Bibliography -- Index |
Summary |
This textbook offers a high-level introduction to multi-variable differential calculus. By introducing differential forms early as a basic concept, the structures behind Stokes' and Gauss' theorems become much clearer. Furthermore, it offers a natural route to differential geometry |
Bibliography |
Includes bibliographical references and index |
Notes |
Online resource; title from PDF title page (EBSCO, viewed February 6, 2018) |
Subject |
Differential calculus.
|
|
Mathematical analysis.
|
|
Stokes' theorem.
|
Form |
Electronic book
|
ISBN |
311042911X (electronic bk.) |
|
9783110429114 (electronic bk.) |
|