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A Visual Introduction to Differential Forms and Calculus on Manifolds

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A Visual Introduction to Differential Forms and Calculus on Manifolds/ by Jon Pierre Fortney.
Author:	Fortney, Jon Pierre.
Description:	XII, 468 p. 258 illus., 243 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Differential geometry. -
Online resource:	https://doi.org/10.1007/978-3-319-96992-3
ISBN:	9783319969923

A Visual Introduction to Differential Forms and Calculus on Manifolds
Fortney, Jon Pierre.

A Visual Introduction to Differential Forms and Calculus on Manifolds[electronic resource] /by Jon Pierre Fortney. - 1st ed. 2018. - XII, 468 p. 258 illus., 243 illus. in color.online resource.

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.

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.

ISBN: 9783319969923

Standard No.: 10.1007/978-3-319-96992-3doiSubjects--Topical Terms:

882213
Differential geometry.

LC Class. No.: QA641-670

Dewey Class. No.: 516.36

A Visual Introduction to Differential Forms and Calculus on Manifolds
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505 0 $a 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.
520 $a 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.
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650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology). $3 668590
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