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A visual introduction to differentia...

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A visual introduction to differential forms and calculus on manifolds

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A visual introduction to differential forms and calculus on manifolds/ by 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

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

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

771715
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 1210572
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 : $c 2018. $b Springer International Publishing : $b Imprint: Birkhauser,
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 771715
650 0 $a Manifolds (Mathematics) $3 672402
650 1 4 $a Differential Geometry. $3 671118
650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology) $3 670183
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 672519
710 2 $a SpringerLink (Online service) $3 593884
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)

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