A Visual Introduction to Differential Forms and Calculus on Manifolds
Seiten
2018
|
1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-96991-6 (ISBN)
Springer International Publishing (Verlag)
978-3-319-96991-6 (ISBN)
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.
Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.
"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)
“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)
Erscheinungsdatum | 17.11.2018 |
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Zusatzinfo | XII, 468 p. 258 illus., 243 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 210 x 279 mm |
Gewicht | 1486 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Schlagworte | calculus on manifolds • cotangent bundle • differential forms • electromagnetism • exterior differentiation • integration of differential forms • Manifolds • pull-backs of differential forms • Stokes' theorem • Stokes’ Theorem • tangent bundle • Vector calculus • visualization of differential forms • wedgeproduct |
ISBN-10 | 3-319-96991-9 / 3319969919 |
ISBN-13 | 978-3-319-96991-6 / 9783319969916 |
Zustand | Neuware |
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