Mathematics and Its Applications: Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics (Hardback)
Mathematics and Its Applications: Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics (Hardback)
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VERY GOOD: This book is in very good condition, showing only slight signs of shelf wear. The pages and covers are clean and the binding is tight. The book is printed on acid-free paper.Product Details
From the back cover: "The four real division algebras (reals, complexes, quaternions and octonions) are the most obvious signposts to a rich and intricate realm of select and beautiful mathematical structures. Using the new tool of adjoint division algebras, with respect to which the vidion algebras themselves appear in the role of spinor spaces, some of these structures are developed, including parallelizable spheres, exceptional Lie groups, and triality. In the case of triality the use of adjoint octonions greatly simplifies its investigation. Motivating this work, however, is a strong conviction that the design of our physical reality arises from this select mathematical realm. A compelling case for that convision is presented, a derivation of the standard model of petons and quarks."The book will be of particular interest to particle and high energy theorists, and to applied mathematicians."
BRIEF CONTENTS
- I - Underpinnings
- II - Division Algebras Alone
- III - Tensor Algebras
- IV - Connecting to Physics
- V - Spontaneous Symmetry Breaking
- VI - Dimensions
- VII - Doorways
- VIII - Corridors
- Appendices
- Bibliography
- Index
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PUBLISHER: Kluwer Academic Publishers
ISBN-13: 9780792328902
ISBN-10: 0792328906