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A visual introduction to differentia...

Fortney, Jon Pierre.

A visual introduction to differential forms and calculus on manifolds

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A visual introduction to differential forms and calculus on manifoldsby Jon Pierre Fortney.
作者:	Fortney, Jon Pierre.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xii, 468 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Differential forms.
電子資源:	https://doi.org/10.1007/978-3-319-96992-3
ISBN:	9783319969923$q(electronic bk.)

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. - Cham :Springer International Publishing :2018. - xii, 468 p. :ill. (some col.), digital ;24 cm.

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$q(electronic bk.)

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

190957
Differential forms.

LC Class. No.: QA381 / .F678 2018

Dewey Class. No.: 515.37

A visual introduction to differential forms and calculus on manifolds
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100 1 $a Fortney, Jon Pierre. $3 824922
245 1 2 $a A visual introduction to differential forms and calculus on manifolds $h [electronic resource] / $c by Jon Pierre Fortney.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2018.
300 $a xii, 468 p. : $b ill. (some col.), digital ; $c 24 cm.
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.
650 0 $a Differential forms. $3 190957
650 0 $a Manifolds (Mathematics) $3 198996
650 1 4 $a Differential Geometry. $3 273785
650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology) $3 253172
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 273786
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-319-96992-3
950 $a Mathematics and Statistics (Springer-11649)