Описание: This book explores various new notions of space in mathematics, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop. It is suitable for mathematicians and mathematical physicists, as well as historians and philosophers of these disciplines.
Описание: Catering to the needs of graduate students and researchers in the field of mathematical physics and theoretical physics, this comprehensive and valuable text discusses the essential concepts of algebraic structures such as metric space, group, modular numbers, algebraic integers, field, vector space, Boolean algebra and measure angle.
Описание: These books explore new notions of space in mathematics and mathematical physics, including formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop. They are suitable for mathematicians and mathematical physicists, as well as historians and philosophers of these disciplines.
Описание: Proceedings of the 51st Course of the International School of Subnuclear Physics on "Reflections on the next step for LHC", Erice, 24 June - 3 July 2013.
Автор: Dipankar Home Название: Conceptual Foundations of Quantum Physics ISBN: 0306456605 ISBN-13(EAN): 9780306456602 Издательство: Springer Рейтинг: Цена: 28734.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Explores the fundamental concepts of quantum theory. This book examines such alternative schemes as the Bohmian approach, the decoherence models, and the dynamical models of wave function collapse. It focuses on the conceptual aspects of quantum theory and the implications of investigations into these questions.
Автор: Cao, Tian Yu (boston University) Название: Conceptual developments of 20th century field theories ISBN: 1108476074 ISBN-13(EAN): 9781108476072 Издательство: Cambridge Academ Рейтинг: Цена: 11563.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This new edition of Conceptual Developments of 20th Century Field Theories explores the conceptual foundations and historical roots of fundamental field theories, and uncovers their underlying issues, logic and dynamics. It includes revised and elaborated sections on gauge theory, quantum field theory, ontological synthesis and scientific realism.
Автор: Pietro Giuseppe Fr? Название: A Conceptual History of Space and Symmetry ISBN: 331998022X ISBN-13(EAN): 9783319980225 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the author’s personal historical perspective and conceptual analysis on symmetry and geometry. The author enlightens with modern views the historical process which led to the contemporary vision of space and symmetry that are used in theoretical physics and in particular in such abstract and advanced descriptions of the physical world as those provided by supergravity. The book is written intertwining storytelling and philosophical argumentation with some essential technical material.The author argues that symmetry and geometry are inextricably entangled and their current meaning is the result of a long process of abstraction which was determined through history and can be understood within the analytic system of thought of western civilization that started with the Ancient Greeks. The evolution of geometry and symmetry theory in the last forty years has been deeply and constructively influenced by supersymmetry/supergravity and the allied constructions of strings and branes. Further advances in theoretical physics cannot be based simply on the Galilean method of interrogating nature and then formulating a testable theory to explain the observed phenomena. One ought to interrogate human thought, meaning frontier-line mathematics concerned with geometry and symmetry in order to find there the threads of so far unobserved correspondences, reinterpretations and renewed conceptions.
Описание: The present book has been written by two mathematicians and one physicist: a pure mathematician specializing in Finsler geometry (Makoto Matsumoto), one working in mathematical biology (Peter Antonelli), and a mathematical physicist specializing in information thermodynamics (Roman Ingarden).
Описание: Presents the principles and methods of sprays (path spaces) and Finsler spaces with various applications in the physical and life sciences. Beginning from the classical theory of sprays, this book presents an introduction to modern Finsler differential geometry. It is suitable for geometers, physicists and theoretical (marine) biologists.
Автор: Grosche Christian Название: Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae ISBN: 9814460079 ISBN-13(EAN): 9789814460071 Издательство: World Scientific Publishing Рейтинг: Цена: 19800.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition.The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula.
Автор: Sergey Yu. Pilyugin Название: Spaces of Dynamical Systems ISBN: 3110644460 ISBN-13(EAN): 9783110644463 Издательство: Walter de Gruyter Цена: 26954.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ng Bau Ch u's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, was held at the Institute for Mathematical Sciences at the National University of Singapore during 2014. It hosted a number of lectures on recent topics of importance related to Higgs bundles, and it is the purpose of this volume to collect these lectures in a form accessible to graduate students and young researchers interested in learning more about this field.
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