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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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An Introduction to Clifford Algebras and Spinors (Hardcover)
Loot Price: R2,648
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An Introduction to Clifford Algebras and Spinors (Hardcover)
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This text explores how Clifford algebras and spinors have been
sparking a collaboration and bridging a gap between Physics and
Mathematics. This collaboration has been the consequence of a
growing awareness of the importance of algebraic and geometric
properties in many physical phenomena, and of the discovery of
common ground through various touch points: relating Clifford
algebras and the arising geometry to so-called spinors, and to
their three definitions (both from the mathematical and physical
viewpoint). The main point of contact are the representations of
Clifford algebras and the periodicity theorems. Clifford algebras
also constitute a highly intuitive formalism, having an intimate
relationship to quantum field theory. The text strives to
seamlessly combine these various viewpoints and is devoted to a
wider audience of both physicists and mathematicians. Among the
existing approaches to Clifford algebras and spinors this book is
unique in that it provides a didactical presentation of the topic
and is accessible to both students and researchers. It emphasizes
the formal character and the deep algebraic and geometric
completeness, and merges them with the physical applications. The
style is clear and precise, but not pedantic. The sole
pre-requisites is a course in Linear Algebra which most students of
Physics, Mathematics or Engineering will have covered as part of
their undergraduate studies.
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