Jon Pierre Fortney

A Visual Introduction to Differential Forms and Calculus on Manifolds

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Birkhäuser / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-96991-6
• 1st ed. 2018
• Seitenzahl: 480
• Erscheinungstermin: 15. November 2018
• Englisch
• Abmessung: 285mm x 215mm x 32mm
• Gewicht: 1385g
• ISBN-13: 9783319969916
• ISBN-10: 3319969919
• Artikelnr.: 52998881

Autorenporträt

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

Inhaltsangabe

Background Material.- An Introduction to Differential Forms.- The Wedgeproduct.- Exterior Differentiation.- Visualizing One-, Two-, and Three-Forms.- Push-Forwards and Pull-Backs.- Changes of Variables and Integration of Forms.- Vector Calculus and Differential Forms.- Manifolds and Forms on Manifolds.- Generalized Stokes' Theorem.- An Example: Electromagnetism.

Rezensionen

"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)