ISBN: 9786502363737 - Spatial Algebras: Algebraic Foundations, Spectral Reconstruction, and Applications (9 results)

Paperback or Softback. Condition: New. Spatial Algebras: Algebraic Foundations, Spectral Reconstruction, and Applications. Book.

Condition: New.

Paperback. Condition: new. Paperback. 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. A self-contained introduction to spatial algebras, covering nonassociative algebra, operator and spectral theory, associator reconstruction, geometry, dynamics, and advanced applications in mathematical physics. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

PAP. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.

PAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.

Paperback. Condition: new. Paperback. 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. A self-contained introduction to spatial algebras, covering nonassociative algebra, operator and spectral theory, associator reconstruction, geometry, dynamics, and advanced applications in mathematical physics. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Paperback. Condition: new. Paperback. 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. A self-contained introduction to spatial algebras, covering nonassociative algebra, operator and spectral theory, associator reconstruction, geometry, dynamics, and advanced applications in mathematical physics. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Taschenbuch. Condition: Neu. 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.…

Taschenbuch. Condition: Neu. Spatial Algebras | Algebraic Foundations, Spectral Reconstruction, and Applications | Kleber Câmara | Taschenbuch | Englisch | 2026 | Kleber Câmara | EAN 9786502363737 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. …