A Geometric Approach to Differential Forms

Bachman, David

ISBN 10: 0817683038 / ISBN 13: 9780817683030

Edité par Birkhäuser, 2011

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N° de réf. du vendeur ABLIING23Feb2416190237883

Détails bibliographiques

• Titre: A Geometric Approach to Differential Forms
• Éditeur: Birkhäuser
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 0817683038
• ISBN à 13 chiffres: 9780817683030
• Reliure: Couverture rigide
• Édition: 2ème Édition
• État de l'article: New

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Synopsis

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. The author approaches the subject 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. This facilitates the development of differential forms without assuming a background in linear algebra.

Containing excellent motivation, numerous illustrations and solutions to selected problems in an appendix, the material has been tested in the classroom along all three potential course tracks.