A Geometric Approach to Differential Forms
Seiten
2006
Birkhauser Boston Inc (Verlag)
978-0-8176-4499-4 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-4499-4 (ISBN)
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This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms.
This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems.
This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems.
Preface.- Guide to the Reader.-Multivariable Calculus.- Parameterizations.- Introduction to Forms.- Forms.- Differential Forms.- Differentiation of Forms.- Stokes' Theorem.- Applications.- Manifolds.- Non-linear Forms.- References.- Index.- Solutions.
| Erscheint lt. Verlag | 29.9.2006 |
|---|---|
| Zusatzinfo | 1, black & white illustrations |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 490 g |
| Einbandart | Paperback |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| ISBN-10 | 0-8176-4499-7 / 0817644997 |
| ISBN-13 | 978-0-8176-4499-4 / 9780817644994 |
| Zustand | Neuware |
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