A Visual Introduction to Differential Forms and Calculus on Manifolds 1st ed. 2018 Edition

A Visual Introduction to Differential Forms and Calculus on Manifolds 1st ed. 2018 Edition book cover

A Visual Introduction to Differential Forms and Calculus on Manifolds 1st ed. 2018 Edition

Author(s): Jon Pierre Fortney (Author)

  • Publisher: Birkhäuser
  • Publication Date: 15 Nov. 2018
  • Edition: 1st ed. 2018
  • Language: English
  • Print length: 480 pages
  • ISBN-10: 3319969919
  • ISBN-13: 9783319969916

Book Description

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.

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)

Review

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