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Title
A visual introduction to differential forms and calculus on manifolds / Jon Pierre Fortney.
ISBN
9783319969923 (electronic book)
3319969927 (electronic book)
9783319969916
3319969919
Published
Cham, Switzerland : Birkhäuser, 2018.
Language
English
Description
1 online resource (xii, 468 pages) : illustrations
Item Number
10.1007/978-3-319-96992-3 doi
Call Number
QA381
Dewey Decimal Classification
515/.37
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.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed November 15, 2018).
Available in Other Form
Print version: 9783319969916
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.
