A Visual Introduction to Differential Forms and Calculus on Manifolds
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Beschreibung
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.
Explains and helps the reader to develop geometric intuition as it relates to differential forms Over 250 figures aiding the reader to understand and visualize the concepts being discussed Basic ideas and concepts are gradually build up Aimed at second and third year undergraduate mathematics and physics students
Autor*in
Jon Pierre Fortney
Themen in »A Visual Introduction to Differential Forms and Calculus on Manifolds«
differential forms wedgeproduct visualization of differential forms calculus on manifolds integration of differential forms exterior differentiation tangent bundle cotangent bundle pull-backs of differential forms manifolds vector calculus Stokes’ theorem electromagnetism
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“The reviewer recommends young mathematics and physics majors to open the book and to keep it on their bookshelves. Indeed, the reviewer even envies young students who can study differential forms with such a fascinating book.” (Hirokazu Nishimura, zbMath 1419.58001, 2019)
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