Last edited by Groran
Friday, July 31, 2020 | History

8 edition of Differential Geometry and Lie Groups for Physicists found in the catalog.

Differential Geometry and Lie Groups for Physicists

by MariГЎn Fecko

  • 75 Want to read
  • 17 Currently reading

Published by Cambridge University Press .
Written in English

    Subjects:
  • Differential & Riemannian geometry,
  • Mathematics for scientists & engineers,
  • Statistical physics,
  • Science,
  • Science/Mathematics,
  • Science / Mathematical Physics,
  • Geometry, Differential,
  • Lie groups,
  • Mathematical Physics

  • The Physical Object
    FormatHardcover
    Number of Pages697
    ID Numbers
    Open LibraryOL7766367M
    ISBN 100521845076
    ISBN 109780521845076

    Obviously, the Differential Geometry And Lie Groups For Physicists, By Marián Fecko will be yours earlier. It's no have to get ready for the book Differential Geometry And Lie Groups For Physicists, By Marián Fecko to get some days later on after purchasing. It's no should go outside under the heats up at center day to head to the book shop. The author, who is a Professor of Mathematics at the Polytechnic Institute of New York, begins with a discussion of plane geometry and then treats the local theory of Lie groups and transformation groups, solid differential geometry, and Riemannian geometry, leading to a general theory of connections.1/5(1).

    Find many great new & used options and get the best deals for Differential Geometry and Lie Groups for Physicists by Marián Fecko (, Hardcover) at the best online prices at eBay! Free shipping for many products! Parallel transport and covariant derivative the multiple of the transported vector, i.e. to ask for the linearity of the map τγ y,ly, if there are three points x,y,z on a curve γ, we expect the parallel transport from x to y followed by the transport (of the vector just brought to y) from y to z to yield the same result as the direct transport (without a moment’s rest in.

    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 on. Written . DIFFERENTIAL GEOMETRY AND LIE GROUPS - Differential Geometry and Lie Groups for Physicists Marian Fecko Frontmatter More information. vi Contents 5 Exterior algebra 93 Motivation: volumes of parallelepipeds 93 11 .


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Differential Geometry and Lie Groups for Physicists by MariГЎn Fecko Download PDF EPUB FB2

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: Differential Geometry and Lie Groups for Physicists - Kindle edition by Fecko, Marián.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Differential Geometry and Lie Groups for Physicists/5(7).

Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics by: Differential geometry and Lie groups for physicists | Fecko M.

| download | B–OK. Download books for free. Find books. Differential Geometry and Lie Groups for Physicists: Marián Fecko: Books - or: Marián Fecko. 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: Price: $ Differential geometry of Lie Groups; Representations of Lie Groups and Lie Algebras; Actions of Lie Groups and Lie Algebras on manifolds; Hamiltonian mechanics and symplectic manifolds; Parallel transport and linear connection on M; Field theory and the language of forms; Differential geometry on TM and T*M; For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics.

This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.

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 on.

Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study.

The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.5/5(1). The topics include differential forms, Riemannian geometry, bundles, spinors, gauge theory and homotopy groups.

Gilmore - Lie groups, physics and geometry. Subtitled "An Introduction for Physicists, Engineers and Chemists", this book could be a good starting point for someone who is really only interested in simpler, down-to-Earth topics.

Robert Gilmore, author of Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers, and Chemists, is a mathematical physicist who specializes in chaos theory and dynamical systems.

His latest book, an update and expansion of his well-known Lie Groups, Lie Algebras, and Some of Their Applications (Wiley ), is targeted to (mathematical) by: Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way.

Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics.

Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study.

The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses. Scopri Differential Geometry and Lie Groups for Physicists di Fecko, Marián: spedizione gratuita per i clienti Prime e per ordini a partire da 29€ spediti da Amazon.5/5(1).

Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and Author: Marian Fecko.

KEY WORDS: Curve, Frenet frame, curvature, torsion, hypersurface, funda-mental forms, principal curvature, Gaussian curvature, Minkowski curvature, manifold, tensor eld, connection, geodesic curve SUMMARY: The aim of this textbook is to give an introduction to di er-ential geometry.

It is based on the lectures given by the author at E otv os. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active selfstudy.

Notes on Differential Geometry and Lie Groups. This note covers the following topics: Matrix Exponential; Some Matrix Lie Groups, Manifolds and Lie Groups, The Lorentz Groups, Vector Fields, Integral Curves, Flows, Partitions of Unity, Orientability, Covering Maps, The Log-Euclidean Framework, Spherical Harmonics, Statistics on Riemannian Manifolds, Distributions.

Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in theory of plane and space curves and surfaces in the three-dimensional Euclidean space formed the basis for development of differential geometry during the 18th century and the 19th century.

“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.In mathematics, the researcher Sophus Lie (/ ˈ l iː / LEE) initiated lines of study involving integration of differential equations, transformation groups, and contact of spheres that have come to be called Lie theory.

For instance, the latter subject is Lie sphere article addresses his approach to transformation groups, which is one of the areas of mathematics. Description; Chapters; Reviews; Supplementary; This edition of the invaluable text Modern Differential Geometry for Physicists contains an additional chapter that introduces some of the basic ideas of general topology needed in differential geometry.

A number of small corrections and additions have also been made. These lecture notes are the content of an .