TY  - BOOK
AU  - Fortney,Jon Pierre
TI  - A visual introduction to differential forms and calculus on manifolds
SN  - 9783319969923
U1  - 516.36 23
PY  - 2018///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - Complex manifolds
KW  - Differential geometry
KW  - Global analysis (Mathematics)
KW  - Manifolds (Mathematics)
KW  - Differential Geometry
KW  - Global Analysis and Analysis on Manifolds
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
N1  - 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
N2  - 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
UR  - https://drive.google.com/file/d/1gons8WIIjmqHrQmvxYmUn96xWXiEOlI6/view?usp=share_link
ER  -