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A Visual Introduction to Differential Forms and Calculus on Manifolds

Autor Jon Pierre Fortney
en Limba Engleză Hardback – 14 noi 2018
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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Specificații

ISBN-13: 9783319969916
ISBN-10: 3319969919
Pagini: 531
Ilustrații: XII, 468 p. 258 illus., 243 illus. in color.
Dimensiuni: 210 x 279 x 35 mm
Greutate: 1.27 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Birkhäuser
Locul publicării:Cham, Switzerland

Cuprins

  

Recenzii

 “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)

Notă biografică

Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.  

Textul de pe ultima copertă

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.

Caracteristici

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