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A New Approach to Differential Geometry using Clifford's Geometric Algebra

Autoren: Snygg, John

Vorschau
  • Includes chapter-by-chapter exercises
  • Provides a rare undergraduate-level approach to the subject matter
  • Promotes the application of Clifford algebra to differential geometry
  • Presents a significant portion of general relativity without reference to such Newtonian terms as "force", "momentum", or "energy"
  • Only up-to-date title of its kind
Weitere Vorteile

Dieses Buch kaufen

eBook 63,06 €
Preis für Deutschland (Brutto)
  • ISBN 978-0-8176-8283-5
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 80,24 €
Preis für Deutschland (Brutto)
  • ISBN 978-0-8176-8282-8
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
eBook Ausleihe  
  • Ausleihdauer: 1 oder 6 Monate
  • kostengünstiger Mietpreis
  • Online-Reader mit Markierungs- und Notizfunktion
  • auf allen Geräten nutzbar
Über dieses Lehrbuch

Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space.

 

Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates,  beginning-level graduate students, and researchers in the algebra and physics communities.

 

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From the reviews:

“The book is written in a very pedagogical style and seems to be the mirror of the original ideas of its author in the area of mathematical physics. … The typography is excellent and the figures are beautiful. … Graduate and advanced undergraduate students in physics and even in mathematics will find in this book an understanding of the contribution of Clifford algebras to the field of differential geometry as well as motivation to continue their study.” (Pierre Anglès, Mathematical Reviews, March, 2014)

“The book under review is perfectly organized textbook for undergraduate students in mathematics and physics due to the large experience of the author. … The author provides quite interesting historical analysis … . This book is a natural continuation of the previous book of the author … .” (Milen Hristov, JGSP Journal of Geometry and Symmetry in Physics, Vol. 33, 2014)

“The author develops the differential geometry of curves and surfaces by using Clifford’s geometric algebra. … The book is enriched with several very interesting and extensive historical and biographical presentations. … it can serve as an accompanying source for someone who studies differential geometry, or for someone who wants to look at known facts from a different viewpoint. Also, it is ideal for studying geometry through historical development, and thus this book could also be useful for reading courses on certain aspects of geometry.” (A. Arvanitoyeorgos, Zentralblatt MATH, Vol. 1232, 2012)


Inhaltsverzeichnis (12 Kapitel)

Inhaltsverzeichnis (12 Kapitel)

Dieses Buch kaufen

eBook 63,06 €
Preis für Deutschland (Brutto)
  • ISBN 978-0-8176-8283-5
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 80,24 €
Preis für Deutschland (Brutto)
  • ISBN 978-0-8176-8282-8
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
eBook Ausleihe  
  • Ausleihdauer: 1 oder 6 Monate
  • kostengünstiger Mietpreis
  • Online-Reader mit Markierungs- und Notizfunktion
  • auf allen Geräten nutzbar
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Bibliografische Information

Bibliographic Information
Buchtitel
A New Approach to Differential Geometry using Clifford's Geometric Algebra
Autoren
Copyright
2012
Verlag
Birkhäuser Basel
Copyright Inhaber
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8283-5
DOI
10.1007/978-0-8176-8283-5
Hardcover ISBN
978-0-8176-8282-8
Auflage
1
Seitenzahl
XVII, 465
Anzahl der Bilder
102 schwarz-weiß Abbildungen
Themen