This book presents a single geometric language for the fundamental physics that has been discovered from the beginning of the twentieth century to the present day. The first two chapters give a brief summary of the four known fundamental forces, n...Lasīt vairāk
This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Bialowieza, Poland in July 2023. These chapters provide readers an overview of cutting-edge research in infinite-dimensional groups, in...Lasīt vairāk
This volume collects papers based on lectures given at the XXXIX Workshop on Geometric Methods in Physics, held in Bialystok, Poland in June 2022. These chapters provide readers an overview of cutting-edge research in geometry, analysis, and a w...Lasīt vairāk
We define higher quantum Airy structures as generalizations of the KontsevichSoibelman quantum Airy structures by allowing differential operators of arbitrary order (instead of only quadratic). We construct many classes of examples of higher quantum...Lasīt vairāk
This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, a...Lasīt vairāk
This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topics in physics, with the concepts developed through numerous examples to help the reader become familiar with the techniques....Lasīt vairāk
This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topics in physics, with the concepts developed through numerous examples to help the reader become familiar with the techniques....Lasīt vairāk
Contains the proceedings of the virtual AMS Special Session on Geometric and Algebraic Aspects of Quantum Groups and Related Topics, held in November 2021. Papers in the volume contain original research, written by speakers and their collaborators....Lasīt vairāk
This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding of the fundamentals of differential geometry and symmetries in classical physics. Readers, working through the book, will obta...Lasīt vairāk
Understanding geometry, physics, and biology This is a highly informative and richly illustrated nonfiction book that conveys scientific content in a clear and understandable way. Drawing on numerous examples, it explains to...Lasīt vairāk
Sērija : SUNY series, Studies in the Long Nineteenth Century
(Izdošanas datums: 02-Nov-2023, Paperback / softback, Izdevniecība: State University of New York Press, ISBN-13: 9781438493213)
What do Einsteinian relativity, eighteenth-century field theory, Neoplatonism, and the overthrow of three-dimensional perspective have in common? The poet and artist William Blakes geometrythe conception of space-time that informs his work a...Lasīt vairāk
This volume contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, held from December 1317, 2021, at the Independent University of Moscow and Moscow State University, Mosc...Lasīt vairāk
This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable ev...Lasīt vairāk
This volume collects papers based on lectures given at the XXXIX Workshop on Geometric Methods in Physics, held in Bialystok, Poland in June 2022. These chapters provide readers an overview of cutting-edge research in geometry, analysis, and a w...Lasīt vairāk
Sērija : SUNY series, Studies in the Long Nineteenth Century
(Izdošanas datums: 01-May-2023, Hardback, Izdevniecība: State University of New York Press, ISBN-13: 9781438493220)
Ranges widely and deeply across William Blakes oeuvre to show how his post-Newtonian vision of space-time anticipates Einsteinian relativity. What do Einsteinian relativity, eighteenth-century field theory, Neoplatonism, and the overt...Lasīt vairāk
This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, a...Lasīt vairāk
We consider the wave maps problem with domain R2 + 1 and target S2 in the 1- equivariant, topological degree one setting. In this setting, we recall that the soliton is a harmonic map from R2 to S2, with polar angle equal to Q1(r) = 2arctan(r). By a...Lasīt vairāk
(Izdošanas datums: 10-Mar-2023, Hardback, Izdevniecība: World Scientific Europe Ltd, ISBN-13: 9781800613546)
Classical Deformation Theory is used for determining the completions of the local rings of an eventual moduli space. When a moduli variety exists, a main result in the book is that the local ring in a closed point can be explicitly computed as an al...Lasīt vairāk
This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einsteins theory of gravity. This title, first published in 2016, has been reissued as an Open Acc...Lasīt vairāk