Geometric Algebra with Applications in Science and Engineering
| Author | : | |
| Rating | : | 4.41 (713 Votes) |
| Asin | : | 0817641998 |
| Format Type | : | paperback |
| Number of Pages | : | 592 Pages |
| Publish Date | : | 2017-10-08 |
| Language | : | English |
DESCRIPTION:
The approach to Clifford algebra adopted in most of the ar ticles here was pioneered in the 1960s by David Hestenes. This book is addressed to a broad audience of applied mathematicians, physicists, computer scientists, and engineers.. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Geometric algebra provides a rich, general mathematical framework for the develop ment of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras, the use of the horosphere and many other areas. He still vividly remembers a feeling of disbelief that the fundamental geometric product of vectors could have been left out of his undergraduate mathematics educati
I have not read this book, but can provide this information Part I Advances in Geometric AlgebraChapter 1Old Wine in New Bottles: A New Algebraic Framework for Computational Geometry,David Hestenes1.1 Introduction1.2 Minkowski Algebra1.3 Conformal Split1.I have not read this book, but can provide this information Jacob D. B. Part I Advances in Geometric AlgebraChapter 1Old Wine in New Bottles: A New Algebraic Framework for Computational Geometry,David Hestenes1.1 Introduction1.2 Minkowski Algebra1.3 Conformal Split1.4 Models of Euclidean Space1.5 Lines and Planes1.6 Spheres and Hyperplanes1.7 Conformal and Euclidean Groups1.8 Screw Mechanics1.9 ConclusionsChapter 2Universal Geometric AlgebraGarret Sobczyk2.1 Introduction2.2 The Universal Geometric Algebra2.3 Matrices of Geometric Numbers2.4 Linear. Models of Euclidean Space1.5 Lines and Planes1.6 Spheres and Hyperplanes1.7 Conformal and Euclidean Groups1.8 Screw Mechanics1.9 ConclusionsChapter 2Universal Geometric AlgebraGarret Sobczyk2.1 Introduction2.2 The Universal Geometric Algebra2.3 Matrices of Geometric Numbers2.I have not read this book, but can provide this information Jacob D. B. Part I Advances in Geometric AlgebraChapter 1Old Wine in New Bottles: A New Algebraic Framework for Computational Geometry,David Hestenes1.1 Introduction1.2 Minkowski Algebra1.3 Conformal Split1.4 Models of Euclidean Space1.5 Lines and Planes1.6 Spheres and Hyperplanes1.7 Conformal and Euclidean Groups1.8 Screw Mechanics1.9 ConclusionsChapter 2Universal Geometric AlgebraGarret Sobczyk2.1 Introduction2.2 The Universal Geometric Algebra2.3 Matrices of Geometric Numbers2.4 Linear. Linear