Advanced Calculus : : Differential Calculus and Stokes' Theorem / / Pietro-Luciano Buono.
This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green’s, Stokes’ and Gauss’ theorems. Furthermore, the presentation offers a natural route to differe...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2016 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2016] ©2016 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | De Gruyter Textbook
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| Online Access: | |
| Physical Description: | 1 online resource (X, 303 p.) |
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Table of 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