Applied exterior calculus
著者
書誌事項
Applied exterior calculus
Wiley, c1985
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注記
"A Wiley-Interscience publication."
Includes bibliographies and index
内容説明・目次
内容説明
This book gives an applied introduction to exterior calculus for upper division undergraduates and beginning graduate students. Development is operational with an emphasis on computation proficiency and elementary geometric notions. Consideration is limited to local questions. The book also features fully worked out examples and problems with answers.
目次
- VECTORS AND FORMS: Mathematical Preliminaries
- Vector Fields
- Exterior Forms
- Exterior Derivatives
- Lie Derivatives, and Integration
- Antiexact Differential Forms and Homotopy Operators
- APPLICATIONS TO MATHEMATICS: Isovector Methods for Second-Order Partial Differential Equations
- Calculus of Variations
- APPLICATIONS TO PHYSICS: Modern Thermodynamics
- Electrodynamics with Electric and Magnetic Charges
- Gauge Theories
- References
- Appendix
- Index.
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