1 option
A Visual Introduction to Differential Forms and Calculus on Manifolds / by Jon Pierre Fortney.
Springer Nature - Springer Mathematics and Statistics eBooks 2018 English International Available online
View online- Format:
- Book
- Author/Creator:
- Fortney, Jon Pierre, author.
- Series:
- Mathematics and Statistics (Springer-11649)
- Language:
- English
- Subjects (All):
- Geometry, Differential.
- Manifolds (Mathematics).
- Complex manifolds.
- Global analysis (Mathematics).
- Differential Geometry.
- Manifolds and Cell Complexes (incl. Diff.Topology).
- Global Analysis and Analysis on Manifolds.
- Local Subjects:
- Differential Geometry.
- Manifolds and Cell Complexes (incl. Diff.Topology).
- Global Analysis and Analysis on Manifolds.
- Physical Description:
- 1 online resource (XII, 468 pages) : 258 illustrations, 243 illustrations in color
- Edition:
- First edition 2018.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 978-3-319-96992-3
- 9783319969923
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.