A Visual Introduction to Differential Forms and Calculus on Manifolds, by Jon Pierre Fortney
Type
Label
A Visual Introduction to Differential Forms and Calculus on Manifolds, by Jon Pierre Fortney
Language
eng
resource.imageBitDepth
0
Literary Form
non fiction
Main title
A Visual Introduction to Differential Forms and Calculus on Manifolds
Medium
electronic resource
Nature of contents
dictionaries
Oclc number
1065537523
Responsibility statement
by Jon Pierre Fortney
Series statement
Springer eBooksSpringer eBooks.
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.--, Provided by publisher
Table Of 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
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