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＜電子ブック＞
A Visual Introduction to Differential Forms and Calculus on Manifolds / by Jon Pierre Fortney

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2018
大きさ	XII, 468 p. 258 illus., 243 illus. in color : online resource
著者標目	*Fortney, Jon Pierre author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Manifolds (Mathematics) LCSH:Global analysis (Mathematics) FREE:Differential Geometry FREE:Manifolds and Cell Complexes FREE:Global Analysis and Analysis on Manifolds
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-96992-3

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