A Visual Introduction to Differential Forms and Calculus on Manifolds
Authors: Fortney, Jon Pierre
Free Preview- Explains and helps the reader to develop geometric intuition as it relates to differential forms
- Over 250 figures aiding the reader to understand and visualize the concepts being discussed
- Basic ideas and concepts are gradually build up
- Aimed at second and third year undergraduate mathematics and physics students
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- About this Textbook
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This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented. 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.
- About the authors
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Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.
- Reviews
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“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)
- Table of contents (12 chapters)
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Background Material
Pages 1-30
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An Introduction to Differential Forms
Pages 31-67
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The Wedgeproduct
Pages 69-105
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Exterior Differentiation
Pages 107-149
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Visualizing One-, Two-, and Three-Forms
Pages 151-188
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- A Visual Introduction to Differential Forms and Calculus on Manifolds
- Authors
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- Jon Pierre Fortney
- Copyright
- 2018
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-319-96992-3
- DOI
- 10.1007/978-3-319-96992-3
- Hardcover ISBN
- 978-3-319-96991-6
- Edition Number
- 1
- Number of Pages
- XII, 468
- Number of Illustrations
- 15 b/w illustrations, 243 illustrations in colour
- Topics
