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Visual Introduction to Differential Forms and Calculus on Manifolds Jon Fortney

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Item specifics

Condition
Very Good: A book that has been read but is in excellent condition. No obvious damage to the cover, ...
ISBN
9783319969916

About this product

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3319969919
ISBN-13
9783319969916
eBay Product ID (ePID)
16038741780

Product Key Features

Number of Pages
Xii, 468 Pages
Language
English
Publication Name
Visual Introduction to Differential Forms and Calculus on Manifolds
Subject
Differential Equations / General, Geometry / Differential, Topology, Mathematical Analysis
Publication Year
2018
Type
Textbook
Subject Area
Mathematics
Author
Jon Pierre Fortney
Format
Hardcover

Dimensions

Item Weight
52.4 Oz
Item Length
11 in
Item Width
8.3 in

Additional Product Features

Dewey Edition
23
TitleLeading
A
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515.37
Table Of Content
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.
Synopsis
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.
LC Classification Number
QA641-670

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