Spatial Algebras : Algebraic Foundations, Spectral Reconstruction, and Applications

Language: English

Published by Kleber Câmara, 2026

6502363733 / 9786502363737

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - Spatial Algebras develops a self-contained theory of commutative, unital, and generally nonassociative algebras that extend the complex numbers by adjoining real idempotent directions.The book begins with finite-dimensional spatial algebras and introduces their algebraic structure, associators, idempotents, multiplication operators, elementary functions, spectral coordinates, and functional calculus. It then develops an infinite-dimensional scale of spatial algebras, with detailed treatments of bounded multiplication operators, spectra, resolvents, reconstruction through associators, and the corresponding Hilbertian theory.The later chapters transport the algebraic decomposition to bundles, connections, curvature, dynamical systems, variational principles, symmetries, and bifurcation theory. Two advanced applications are presented separately: Multichannel Spectral Geometry and a heat-kernel-regularized realization of Kaluza-Klein channels. The mathematical scope and physical limitations of these applications are explicitly stated.Designed for advanced undergraduate students, graduate students, instructors, and researchers, the book includes definitions, complete proofs, examples, counterexamples, graded exercises, and an extensive chapter of answers and hints. It is suitable for readers interested in algebra, functional analysis, operator theory, spectral theory, differential geometry, and mathematical physics.…

Seller Inventory # 9786502363737

Title
Spatial Algebras : Algebraic Foundations, Spectral Reconstruction, and Applications
Author
Kleber Câmara
Publisher
Kleber Câmara
Publication year
2026
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6502363733
ISBN 13
9786502363737
Item weight
1,163 grams
Dimensions
254x178x34 mm

AHA-BUCH GmbH

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