A Visual Introduction to Differential Forms and Calculus on Manifolds

• Main Author: Fortney, Jon Pierre (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Subjects: Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Global analysis (Mathematics).; Differential Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).; Global Analysis and Analysis on Manifolds.
• Physical Description: XII, 468 p. 258 illus., 243 illus. in color. online resource.
• ISBN: 9783319969923
• DOI: 10.1007/978-3-319-96992-3

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.