Visual Introduction to Differential Forms and Calculus on Manifolds

Inbunden, Engelska, 2018

745 kr

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Beskrivning

With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra.

Produktinformation

Utgivningsdatum:2018-11-15
Mått:210 x 279 x 29 mm
Vikt:1 336 g
Format:Inbunden
Språk:Engelska
Antal sidor:468
Förlag:Birkhauser Verlag AG
ISBN:9783319969916

Utforska kategorier

Mer om författaren

Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.

Recensioner i media

“The reviewer recommends young mathematics and physics majors to open the book and to keep it on their bookshelves. Indeed, the reviewer even envies young students who can study differential forms with such a fascinating book.” (Hirokazu Nishimura, zbMath 1419.58001, 2019)

Innehållsförteckning

Background Material.- An Introduction to Differential Forms.- The Wedgeproduct.- Exterior Differentiation.- Visualizing One-, Two-, and Three-Forms.- Push-Forwards and Pull-Backs.- Changes of Variables and Integration of Forms.- Vector Calculus and Differential Forms.- Manifolds and Forms on Manifolds.- Generalized Stokes' Theorem.- An Example: Electromagnetism.