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Cover: 9783319969916 | A Visual Introduction to Differential Forms and Calculus on Manifolds
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A Visual Introduction to Differential Forms and Calculus on Manifolds
Buch von Jon Pierre Fortney
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2018
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xii
468 S.
15 s/w Illustr.
243 farbige Illustr.
468 p. 258 illus.
243 illus. in color.
ISBN-13: 9783319969916
ISBN-10: 3319969919
Sprache: Englisch
Herstellernummer: 978-3-319-96991-6
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Fortney, Jon Pierre
Auflage: 1st ed. 2018
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 285 x 215 x 32 mm
Von/Mit: Jon Pierre Fortney
Erscheinungsdatum: 15.11.2018
Gewicht: 1,413 kg
Artikel-ID: 113991451
Über den Autor
Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2018
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xii
468 S.
15 s/w Illustr.
243 farbige Illustr.
468 p. 258 illus.
243 illus. in color.
ISBN-13: 9783319969916
ISBN-10: 3319969919
Sprache: Englisch
Herstellernummer: 978-3-319-96991-6
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Fortney, Jon Pierre
Auflage: 1st ed. 2018
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 285 x 215 x 32 mm
Von/Mit: Jon Pierre Fortney
Erscheinungsdatum: 15.11.2018
Gewicht: 1,413 kg
Artikel-ID: 113991451
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