Visual Introduction to Differential Forms and Calculus on Manifolds / by Jon Pierre Fortney.

By:

Fortney, Jon Pierre [author.]

Material type: Text

TextPublication details: Cham : Springer International Publishing : Imprint: Birkhauser, 2018.Edition: 1st ed. 2018Description: 1 online resource (xii, 468 pages 258 illustrations, 243 illustrations in color.)ISBN:

9783319969916 (hbk.)

Other title:

A Visual Introduction to Differential Forms and Calculus on Manifolds

Subject(s):

DDC classification:

515.37 FOR

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.

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.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Books	H.T. Parekh Library	SIAS Collection	515.37 FOR (Browse shelf(Opens below))	Available		K4183

Euro: 69.99/-
TB334/01

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.

Description based on publisher-supplied MARC data.

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