Publication year: 2007
ISBN: 978-3-7643-7791-5
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The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have priviledged a geometric approach, the author uses an algebraic approach which can be introduced as a tensor product of quaternion algebras and provides a unified calculus for much of physics.The book proposes a pedagogical introduction to this new calculus, based on quaternions, with applications mainly in special relativity, classical electromagnetism and general relativity.
Subject: Mathematics and Statistics, Clifford algebra, Relativity, Special relativity, Symmetry group, algebra, electromagnetism, general relativity, mathematical physics, quaternion, relativistic physics, rotation group