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OverviewFull Product DetailsAuthor: Edwin J. Beggs , Shahn MajidPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2020 Volume: 355 Weight: 1.456kg ISBN: 9783030302962ISBN 10: 3030302962 Pages: 809 Publication Date: 20 April 2021 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsReviewsIt is well written, nicely structured and, very importantly, illustrates all the noncommutative geometric concepts through a wide range of examples. This book should be accessible to both mathematicians and theoretical/mathematical physicists with an interest in noncommutative generalizations of differential geometry. Due to the many examples, and the exercises at the end of each chapter, this book may also be used for teaching a course on noncommutative differential and/or Riemannian geometry. (Alexander Schenkel, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 123, 2021) “It is well written, nicely structured and, very importantly, illustrates all the noncommutative geometric concepts through a wide range of examples. This book should be accessible to both mathematicians and theoretical/mathematical physicists with an interest in noncommutative generalizations of differential geometry. Due to the many examples, and the exercises at the end of each chapter, this book may also be used for teaching a course on noncommutative differential and/or Riemannian geometry.” (Alexander Schenkel, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 123, 2021) Author InformationEdwin J. Beggs studied mathematics at Churchill college Cambridge, moving to St Catherine’s college Oxford to study for a DPhil under the supervision of Graeme Segal, finishing in 1988. He became a research assistant working with David Evans on operator algebras (giving a formula for the real rank of matrix valued functions) in Swansea and was appointed to a lectureship there. He has worked with Peter Johnson, finding the inverse scattering method for solitons in affine Toda field theory. He has worked with various coauthors on noncommutative differential geometry, introducing noncommutative sheaf theory, noncommutative complex structures and bar categories as well as working on bimodule connections and quantum Riemannian geometry. He also works on physics and computation in computer science. Shahn Majid graduated from Cambridge, including Part III of the mathematics tripos, followed by a PhD at Harvard in 1988. After a year in Swansea, he spent ten years in DAMTP in Cambridge before moving to Queen Mary. He was one of the pioneers of the modern theory of Hopf algebras or quantum groups, introducing in his PhD thesis one of the two main classes at the time, the bicrossproduct ones associated to Lie group factorisations. Other results include the earliest models of quantum spacetime with quantum symmetry, the theory of Hopf algebras in braided categories and the dual/centre of a monoidal category. He was one of the coauthors of the theory of quantum principal bundles and introduced a frame bundle approach to quantum Riemannian geometry. In recent years he has been working on the bimodule approach with a view to quantum gravity. Tab Content 6Author Website:Countries AvailableAll regions |