David Bachman
A Geometric Approach to Differential Forms
Gebonden Engels 2011 2e druk 9780817683030
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9780817683030
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:156
Uitgever:Birkhäuser Boston
Druk:2
Lezersrecensies
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Inhoudsopgave
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.
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