A Visual Introduction to Differential Forms and Calculus on Manifolds

A Visual Introduction to Differential Forms and Calculus on Manifolds

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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Description

Editorial Reviews

Review

?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) –This text refers to the hardcover edition.

Review

–This text refers to the hardcover edition.

From the Back Cover

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. –This text refers to the hardcover edition.

About the Author

Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.   –This text refers to the hardcover edition.

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Additional information

Best Sellers Rank

#255,237 in Kindle Store (See Top 100 in Kindle Store) #5 in Topology (Kindle Store) #6 in Differential Geometry (Kindle Store) #18 in Mathematical Analysis (Kindle Store)

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