A Visual Introduction to Differential Forms and Calculus on Manifolds
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,...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing,
2018.
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| Edition: | 1st ed. 2018. |
| Subjects: | |
| ISBN: | 9783319969923 |
| Online Access: |
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|---|---|---|---|
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| 007 | cr nn 008mamaa | ||
| 008 | 181103s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783319969923 | ||
| 024 | 7 | |a 10.1007/978-3-319-96992-3 |2 doi | |
| 035 | |a CVTIDW15175 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Fortney, Jon Pierre. |4 aut | |
| 245 | 1 | 2 | |a A Visual Introduction to Differential Forms and Calculus on Manifolds |h [electronic resource] / |c by Jon Pierre Fortney. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a XII, 468 p. 258 illus., 243 illus. in color. |b online resource. | ||
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |a 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. | |
| 516 | |a text file PDF | ||
| 520 | |a 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. | ||
| 650 | 0 | |a Differential geometry. | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 0 | |a Complex manifolds. | |
| 650 | 0 | |a Global analysis (Mathematics). | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-96992-3 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE12455 | ||
| 919 | |a 978-3-319-96992-3 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 247218 |d 247218 | ||