Ebook: A visual introduction to differential forms and calculus on manifolds
Author: Fortney Jon Pierre
- Genre: Mathematics
- Tags: Global differential geometry., Cell aggregation -- Mathematics., Global analysis., Differential Geometry., Manifolds and Cell Complexes (incl. Diff.Topology)., Global Analysis and Analysis on Manifolds.
- Year: 2019
- Publisher: Springer International Publishing : Imprint: Birkhäuser
- Language: English
- pdf
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 Read more...
Abstract: 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