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Clifford (Geometric) Algebras: With Applications to Physics, Mathematics, and Engineeringby William E. Baylis
Synopses & Reviews
This text takes an emerging approach to physics, emphasizing important geometrical structures that lay the foundations of much of modern theory. The subject of Clifford algebras is presented in efficient geometric language - common concepts in physics are clarified, united and extended. The text serves as a pedgogical tool for either self-study or in undergraduate/graduate courses. Topics covered include: history of teaching algebras; linear algebra; gravity; spinors; applications in engineering; spacetime algebra and line geometry; and Clifford algebra with Maple.
Book News Annotation:
Lectures and exercises explain to undergraduate physics majors the geometric language of the Clifford-algebra approach, which can clarify and unify many concepts in physics and extend them in sometimes surprising directions. The overall emphasis is on physics but some of the presentations focus on developments in mathematics or applications in engineering.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Leading authorities in the emerging field of Clifford (geometric) algebras have contributed to this fundamental and comprehensive text. The subject of Clifford algebras is presented here in efficient geometric language: common concepts in physics are clarified, united and extended in new and sometimes surprising directions. The text may well serve as a pedagogical tool for either self study or in courses at both the undergraduate and graduate level. Bibliographies complete many chapters and an index covers the entire book. Those new to Clifford algebras may start by reading the Introduction, after which practically any set of chapters can be read independently of the others.
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