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A New Approach to Differential Geometry using Clifford's Geometric Algebra by S,
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Located in: Arvada, Colorado, United States
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eBay item number:225995925874
Item specifics
- Condition
- ISBN
- 9780817682828
- Publication Year
- 2011
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- New Approach to Differential Geometry Using Clifford's Geometric Algebra
- Item Length
- 9.3in
- Publisher
- Birkhäuser Boston
- Item Width
- 6.1in
- Item Weight
- 31.3 Oz
- Number of Pages
- Xvii, 465 Pages
About this product
Product Information
This comprehensive textbook simplifies the discussion of differential geometry to an accessible level by introducing Clifford algebra. It includes chapter-by-chapter exercises, and provides a rare undergraduate-level approach to the subject matter.
Product Identifiers
Publisher
Birkhäuser Boston
ISBN-10
0817682821
ISBN-13
9780817682828
eBay Product ID (ePID)
108994754
Product Key Features
Publication Name
New Approach to Differential Geometry Using Clifford's Geometric Algebra
Format
Hardcover
Language
English
Publication Year
2011
Type
Textbook
Number of Pages
Xvii, 465 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
31.3 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa641-670
Reviews
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)
Table of Content
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 Urdi-Copernican Model for the Outer Planets.- A Few Terms of the Taylor's Series for Kepler's Orbits.- References.- Index.
Copyright Date
2012
Topic
Algebra / Linear, Geometry / Differential, General, Physics / Mathematical & Computational
Dewey Decimal
512.57
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Science, Mathematics
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eBay item number:225995925874
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