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Friday, August 7, 2020 | History

1 edition of Differential Geometry and Mathematical Physics found in the catalog.

Differential Geometry and Mathematical Physics

Lectures given at the Meetings of the Belgian Contact Group on Differential Geometry held at Liège, May 2-3, 1980 and at Leuven, February 6-8, 1981

by M. Cahen

  • 309 Want to read
  • 10 Currently reading

Published by Springer Netherlands in Dordrecht .
Written in English

    Subjects:
  • Global differential geometry,
  • Physics

  • Edition Notes

    Other titlesLectures given at the meetings of the Belgian Contact Group on Differential Geometry held at Liege, May 2-3, 1980 and at Leuven, February 6-8, 1981
    Statementedited by M. Cahen, M. Wilde, L. Lemaire, L. Vanhecke
    SeriesMathematical Physics Studies, A Supplementary Series to Letters in Mathematical Physics -- 3, Mathematical Physics Studies, A Supplementary Series to Letters in Mathematical Physics -- 3.
    ContributionsWilde, M., Lemaire, L., Vanhecke, L.
    Classifications
    LC ClassificationsQC19.2-20.85
    The Physical Object
    Format[electronic resource] :
    Pagination1 online resource (196 pages).
    Number of Pages196
    ID Numbers
    Open LibraryOL27032212M
    ISBN 109400970226
    ISBN 109789400970229
    OCLC/WorldCa840306245

    ISBN: OCLC Number: Description: vii, pages: illustrations ; 26 cm. Contents: Stability of geodesic incompleteness / John K. Beem --Numerical simulation of two-polarization Gowdy T³ cosmology / Beverly K. Berger [and others] --"No hair" theorems: folklore, conjectures, results / Piotr T. Chruściel --Spacetime geometry of CR-structures / Krishan L. Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so by:

    springer, Starting from an undergraduate level, this book systematically develops the basics of• Calculus on manifolds, vector bundles, vector fields and differential forms,• Lie groups and Lie group actions,• Linear symplectic algebra and symplectic geometry,• Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi topics listed under the first. This book contains the proceedings of the Special Session, Geometric Methods in Mathematical Physics, held at the joint AMS-CMS meeting in Vancouver in August The papers collected here contain a number of new results in differential geometry and its applications to physics.

    Differential Geometry and Mathematical Physics book. Read reviews from world’s largest community for readers.5/5(1). Differential Geometrical Methods in Mathematical Physics II Proceedings, University of Bonn, July 13–16, Editors; Search within book. Front Matter. algebra calculus equation function gauge theory geometry manifold mathematical physics. Bibliographic information. DOI https.


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Differential Geometry and Mathematical Physics by M. Cahen Download PDF EPUB FB2

The book is addressed to scholars and researchers in differential geometry and mathematical physics, as well as to advanced graduate students who have studied the material covered in the first part of the by: “The book is the first of two volumes on differential geometry and mathematical physics.

The present volume deals with manifolds, Lie groups, symplectic geometry, Hamiltonian systems and Hamilton-Jacobi theory. There are several examples and exercises scattered throughout the book.

The presentation of material is well organized and by: The book is addressed to scholars and researchers in differential geometry and mathematical physics, as well as to advanced graduate students who have studied the material covered in the first part of the : Paperback.

“The book is the first of two volumes on differential geometry and mathematical physics. The present volume deals with manifolds, Lie groups, symplectic geometry, Hamiltonian systems and Hamilton-Jacobi theory. There are several examples and exercises scattered throughout the book.

The presentation of material is well organized and clear. The book is devoted to the study of the geometrical and topological structure of gauge theories. - Gauge theory. Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory.

This volume contains the text of the lectures which were given at the Differential Geometry Meeting held at Liege in and at the Differential Geometry Meeting held at Leuven in The first of these meetings was more orientated toward mathematical physics; the second has a.

The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises.

Differential Geometry and Mathematical Physics, Part I of Gerd Rudolph that I have readed in whole is a very excellent book for theoretical physicist. Now, can you find for us the Part II of the same book it will help us to master the gauge field theory.

I've been studying differential geometry for about a year (books I've read include An Introduction to Smooth Manifolds and Riemannian Manifolds: An Introduction to Curvature by Lee, and sections of.

This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics— such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics. The Szekeres book presents a wide range of mathematical physics topics, including the differential geometry which is required for general relativity, in a systematic way which includes the principal mathematical prerequisites in the earlier chapters.

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 4/5(1). Book Description. Emphasizing the applications of differential geometry to gauge theories in particle physics and general relativity, this work will be of special interest for researchers in applied mathematics or theoretical by: Differential Geometry and Mathematical Physics The book is devoted to the study of the geometrical and topological structure of gauge theories.

It consists of the following three building blocks: Geometry and topology of fibre bundles. The Abel Symposium focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebro-geometric methods, which nowadays permeate.

Publishes the latest research in differential geometry and related areas of differential equations, mathematical physics, algebraic geometry, and geometric topology. Publication Publishing since A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind.

All basic concepts are systematically provided including sketches of the proofs of most statements. About this book. Introduction. This volume contains the text of the lectures which were given at the Differential Geometry Meeting held at Liege in and at the Differential Geometry Meeting held at Leuven in The first of these meetings was more orientated toward mathematical physics; the second has a stronger flavour of analysis.

Zentralblatt MATH ' the book may serve as an easily accessible introductory text on a wide range of the standard and more basic topics in mathematics and mathematical physics for the beginner, with an emphasis on differential geometry.

a nice feature is that a considerable number of examples and exercises is provided, Cited by: Partial Differential Equations of Mathematical Physics (PDF p) This note aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the fundamental equations of fluid and solid mechanics, thermodynamics, and.

In this book I present differential geometry and related mathematical topics with the help of examples from physics. It is well known that there is something strikingly mathematical about the physical universe as it is conceived of in the physical sciences. The convergence of physics with mathematics File Size: 9MB.This book is on the work of Bernhard Riemann and its impact on mathematics, philosophy and physics.

It contains expository and historical expositions From Riemann to Differential Geometry and Relativity. Editors: Ji, Lizhen, Papadopoulos, Athanase.Books shelved as mathematical-physics: Topology, Geometry and Gauge Fields: Foundations by Gregory L.

Naber, Mathematical Methods in the Physical Science.