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

BuchGebunden
Englisch
Birkhäuser Bostonerschienen am08.12.20112012
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.mehr
Verfügbare Formate
BuchGebunden
EUR64,15
E-BookPDF1 - PDF WatermarkE-Book
EUR96,29

Produkt

KlappentextA New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra.
Zusammenfassung
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

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-0-8176-8282-8
ProduktartBuch
EinbandartGebunden
Erscheinungsjahr2011
Erscheinungsdatum08.12.2011
Auflage2012
SpracheEnglisch
MasseBreite 160 mm, Höhe 241 mm, Dicke 32 mm
Gewicht887 g
Artikel-Nr.11933740

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- Introduction.- Clifford Algebra in Euclidean 3-Space.- Clifford Algebra in Minkowski 4-Space.- Clifford Algebra in Flat n-Space.- Curved Spaces.- The Gauss-Bonnet Formula.- Non-Euclidean (Hyperbolic) Geometry.- Some Extrinsic Geometry in E^n.- Ruled Surfaces Continued.- Lines of Curvature.- Minimal Surfaces.- Some General Relativity.- Matrix Representation of a Clifford Algebra.- Construction of Coordinate Dirac Matrices.- A Few Terms of the Taylor's Series for the Urdī-Copernican Model for the Outer Planets.- A Few Terms of the Taylor's Series for Kepler's Orbits.- References.- Index.mehr
Kritik
From the reviews:"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)mehr