Clifford algebra is generalized to the infinite dimensional spaces. Much attention is paid to the elegant geometric theory of branes which employs the infinite dimensional space of functions describing branes. The theory of branes and the idea of how a 3-brane might represent our world is discussed in detail. It is shown how Clifford algebra provides much more: it provides room for new physics, with the prospects of resolving certain long standing puzzles. This a book is for those who would like to learn something about special and general relativity beyond the usual textbooks, about quantum field theory, the elegant Fock-Schwinger-Stueckelberg proper time formalism, the elegant description of geometry by means of Clifford algebra, about the fascinating possibilities the latter algebra offers in reformulating the existing physical theories, and quantizing them in a natural way.
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