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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

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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 The previously unpublished papers present cutting-edge current research, typically grounded in geometry and analysis, with applications to classical and quantum physics.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: 465
Release:
Genre:
ISBN: 3031624076

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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

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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:

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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.


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

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


Advances in Geometric Analysis

Advances in Geometric Analysis
Author: Stanislaw Janeczko
Publisher:
Total Pages: 0
Release: 2012
Genre: Geometric analysis
ISBN: 9781571462480

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Covers some of the most recent and important developments in geometry and theoretical physics today. Topics include Monge-Ampère equations, Kähler-Ricci flows, and other fully non-linear elliptic and parabolic equations; canonical metrics in Kähler geometry; notions of quasi-local mass in general relativity and geometric properties of gauge theories; and new algebro-geometric and symplectic methods.