Clifford Algebra, Geometric Algebra, and Applications

Small book cover: Clifford Algebra, Geometric Algebra, and Applications

Clifford Algebra, Geometric Algebra, and Applications

Publisher: arXiv
Number of pages: 117

These are lecture notes for a course on the theory of Clifford algebras, with special emphasis on their wide range of applications in mathematics and physics. Clifford algebra is introduced both through a conventional tensor algebra construction with geometric applications in mind, as well as in an algebraically more general form which is well suited for combinatorics, and for defining and understanding the numerous products and operations of the algebra.

Home page url

Download or read it online for free here:
Download link
(960KB, PDF)

Similar books

Book cover: An introduction to Noncommutative Projective GeometryAn introduction to Noncommutative Projective Geometry
by - arXiv
These lecture notes are an expanded version of the author's lectures at a graduate workshop. The main topics discussed are Artin-Schelter regular algebras, point modules, and the noncommutative projective scheme associated to a graded algebra.
Book cover: A Course in Universal AlgebraA Course in Universal Algebra
by - Springer-Verlag
Selected topics in universal algebra: an introduction to lattices, the most general notions of universal algebra, a careful development of Boolean algebras, discriminator varieties, the introduction to the basic concepts and results of model theory.
Book cover: Algebraic LogicAlgebraic Logic
Part I of the book studies algebras which are relevant to logic. Part II deals with the methodology of solving logic problems by (i) translating them to algebra, (ii) solving the algebraic problem, and (iii) translating the result back to logic.
Book cover: Set Theoretic Approach to Algebraic Structures in MathematicsSet Theoretic Approach to Algebraic Structures in Mathematics
by - Educational Publisher
This book brings out how sets in algebraic structures can be used to construct the most generalized algebraic structures, like set linear algebra / vector space, set ideals in groups and rings and semigroups, and topological set vector spaces.