Geometric Algebra with Applications in Science and Engineering is popular PDF and ePub book, written by Eduardo Bayro Corrochano in 2011-06-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometric Algebra with Applications in Science and Engineering can be Read Online from any device for your convenience.
Geometric Algebra with Applications in Science and Engineering Book PDF Summary
The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer ing using geometric algebra. 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. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary textbooks where the vector algebra of Gibbs-Heaviside still predominates. The approach to Clifford algebra adopted in most of the ar ticles here was pioneered in the 1960s by David Hestenes. Later, together with Garret Sobczyk, he developed it into a unified language for math ematics and physics. Sobczyk first learned about the power of geometric algebra in classes in electrodynamics and relativity taught by Hestenes at Arizona State University from 1966 to 1967. He still vividly remembers a feeling of disbelief that the fundamental geometric product of vectors could have been left out of his undergraduate mathematics education. 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. This book is addressed to a broad audience of applied mathematicians, physicists, computer scientists, and engineers.
Detail Book of Geometric Algebra with Applications in Science and Engineering PDF
- Author : Eduardo Bayro Corrochano
- Release : 28 June 2011
- Publisher : Springer Science & Business Media
- ISBN : 9781461201595
- Genre : Mathematics
- Total Page : 607 pages
- Language : English
- PDF File Size : 19,8 Mb
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