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A Visual Introduction to Differential Forms and Calculus on Manifolds / Jon Pierre Fortney

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Springer eBook CollectionPublisher: Cham : Birkhäuser, [2018]Copyright date: © 2018Description: Online-Ressource (XII, 468 Seiten) : Illustrationen, DiagrammeISBN:
  • 9783319969923
Subject(s): Additional physical formats: 9783319969916 | Erscheint auch als: A visual introduction to differential forms and calculus on manifolds. Druck-Ausgabe Cham : Birkhäuser, 2018. xii, 468 SeitenDDC classification:
  • 516.36
MSC: MSC: *58-01 | 58A10 | 53A45LOC classification:
  • QA641-670
DOI: DOI: 10.1007/978-3-319-96992-3Online resources: Summary: 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 algebraSummary: 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: ElectromagnetismPPN: PPN: 1040278701Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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