This is original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications.
Modern Differential Geometry in Gauge Theories is a two-volume research monograph that systematically applies a sheaf-theoretic approach to such physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulated and used thereafter to describe elementary particles, electromagnetism, and geometric prequantization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology. Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang–Mills fields in general.
The text contains a wealth of detailed and rigorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduate students, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity.Contenuti:
Maxwell Fields: General Theory.- The Rudiments of Abstract Differential Geometry.- Elementary Particles: Sheaf-Theoretic Classification, by Spin-Structure, According to Selesnick’s Correspondence Principle.- Electromagnetism.- Cohomological Classification of Maxwell and Hermitian Maxwell Fields.- Geometric Prequantization.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Descrizione libro Condizione libro: New. Brand New Book In Mint Condition. Shipping With Trackable Method. No APO/FPO Addresses Please. Codice libro della libreria 9780817643782NHS
Descrizione libro Condizione libro: Brand New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Codice libro della libreria AIND-75983
Descrizione libro Condizione libro: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Codice libro della libreria SHUB48916
Descrizione libro Condizione libro: New. New. US edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Codice libro della libreria ABE-FEB-48916
Descrizione libro Condizione libro: New. Brand New Original US Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Codice libro della libreria AUSBNEW-75983
Descrizione libro Condizione libro: Brand New. New, US edition. Excellent Customer Service. Codice libro della libreria ABEUSA-48916
Descrizione libro Birkhäuser, 2005. Paperback. Condizione libro: New. book. Codice libro della libreria 0817643788
Descrizione libro Birkhäuser, 2005. Paperback. Condizione libro: New. 2006. Codice libro della libreria DADAX0817643788
Descrizione libro Springer. Condizione libro: New. pp. xvii + 293 This item is printed on Demand. Codice libro della libreria 7547523
Descrizione libro Birkhäuser. PAPERBACK. Condizione libro: New. 0817643788 Brand New Book In Bubble Wrap Packing .Delivery will take 8-16 days. Codice libro della libreria A-BHR-00930