Geometric Methods in Physics XXXVII

Geometric Methods in Physics XXXVII
Author: Piotr Kielanowski
Publisher: Springer Nature
Total Pages: 260
Release: 2019-11-26
Genre: Mathematics
ISBN: 3030340724

The book consists of articles based on the XXXVII Białowieża Workshop on Geometric Methods in Physics, 2018. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. This edition of the workshop featured a special session dedicated to Professor Daniel Sternheimer on the occasion of his 80th birthday. The previously unpublished papers present cutting-edge current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past seven years, the Białowieża Workshops have been complemented by a School on Geometry and Physics comprising a series of advanced lectures for graduate students and early-career researchers. The book also includes abstracts of the five lecture series that were given at the seventh school.

Geometric Methods in Physics XL

Geometric Methods in Physics XL
Author: Piotr Kielanowski
Publisher: Springer Nature
Total Pages: 466
Release: 2024
Genre: Geometry
ISBN: 3031624076

Zusammenfassung: This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Białowieża, Poland in July 2023. These chapters provide readers an overview of cutting-edge research in infinite-dimensional groups, integrable systems, quantum groups, Lie algebras and their generalizations and a wide variety of other areas. Specific topics include: Yang-Baxter equation The restricted Siegel disc and restricted Grassmannian Geometric and deformation quantization Degenerate integrability Lie algebroids and groupoids Skew braces Geometric Methods in Physics XL will be a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas

Geometrical Methods of Mathematical Physics

Geometrical Methods of Mathematical Physics
Author: Bernard F. Schutz
Publisher: Cambridge University Press
Total Pages: 272
Release: 1980-01-28
Genre: Science
ISBN: 1107268141

In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.

Geometrical Optics

Geometrical Optics
Author: J. L. Synge
Publisher: CUP Archive
Total Pages: 132
Release: 1937-01-02
Genre: Mathematics
ISBN:

It is by no means easy for the applied mathematician to decide how much importance he should attach to the more abstract and aesthetic side of his work ... To all appearances, Sir William Rowan Hamilton (1850-1865) attached little importance to the practical applications of his method, and it was only with the publication of his Mathematical Papers that it was possible to form a more correct and balanced judgement of Hamilton as an applied mathematician.

Mathematical Methods in Physics

Mathematical Methods in Physics
Author: Philippe Blanchard
Publisher: Springer Science & Business Media
Total Pages: 469
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461200490

Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.

Differential Geometrical Methods in Theoretical Physics

Differential Geometrical Methods in Theoretical Physics
Author: K. Bleuler
Publisher: Springer Science & Business Media
Total Pages: 474
Release: 2013-06-29
Genre: Mathematics
ISBN: 9401578095

Proceedings of the NATO Advanced Research Workshop and the 16th International Conference, Como, Italy, August 24-29, 1987

Clifford Algebras

Clifford Algebras
Author: Rafal Ablamowicz
Publisher: Springer Science & Business Media
Total Pages: 635
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461220440

The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.

The Geometry of Supermanifolds

The Geometry of Supermanifolds
Author: C. Bartocci
Publisher: Springer Science & Business Media
Total Pages: 274
Release: 1991-10-31
Genre: Mathematics
ISBN: 9780792314400

'Et moi, ...* si favait III mmment en revenir, One service mathematics has rendered the je n'y serais point aile:' human race. It has put CXlUImon sense back Iules Verne where it belongs. on the topmost shelf next to the dUlty canister lahelled 'discarded non- The series i. divergent; therefore we may be able to do something with it. Eric T. Bell O. Hesvi.ide Mathematics is a tool for thOUght. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d't!tre of this series.

Methods in Nonlinear Analysis

Methods in Nonlinear Analysis
Author: Kung-Ching Chang
Publisher: Springer Science & Business Media
Total Pages: 448
Release: 2005-11-21
Genre: Mathematics
ISBN: 3540292322

This book offers a systematic presentation of up-to-date material scattered throughout the literature from the methodology point of view. It reviews the basic theories and methods, with many interesting problems in partial and ordinary differential equations, differential geometry and mathematical physics as applications, and provides the necessary preparation for almost all important aspects in contemporary studies. All methods are illustrated by carefully chosen examples from mechanics, physics, engineering and geometry.

The Geometry of Kerr Black Holes

The Geometry of Kerr Black Holes
Author: Barrett O'Neill
Publisher: Courier Corporation
Total Pages: 404
Release: 2014-01-15
Genre: Science
ISBN: 0486783111

Suitable for advanced undergraduates and graduate students of mathematics as well as for physicists, this unique monograph and self-contained treatment constitutes an introduction to modern techniques in differential geometry. 1995 edition.