Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics (inbunden)
Fler böcker inom
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
218
Utgivningsdatum
1993-09-01
Upplaga
1st ed. 1986. Corr. 2nd printing 1993
Förlag
Springer-Verlag New York Inc.
Medarbetare
Weaver, O.L.
Illustrationer
X, 218 p.
Dimensioner
240 x 164 x 19 mm
Vikt
477 g
Antal komponenter
1
Komponenter
1 Hardback
ISBN
9780387962405
Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics (inbunden)

Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics

Inbunden Engelska, 1993-09-01
1409
Skickas inom 10-15 vardagar.
Fri frakt inom Sverige för privatpersoner.
Finns även som
Visa alla 2 format & utgåvor
This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is written by and for researchers who are primarily analysts or physicists, not algebraists or geometers. Not that we have eschewed the algebraic and geo metric developments. But we wanted to present them in a concrete way and to show how the subject interacted with physics, geometry, and mechanics. These interactions are, of course, manifold; we have discussed many of them here-in particular, Riemannian geometry, elementary particle physics, sym metries of differential equations, completely integrable Hamiltonian systems, and spontaneous symmetry breaking. Much ofthe material we have treated is standard and widely available; but we have tried to steer a course between the descriptive approach such as found in Gilmore and Wybourne, and the abstract mathematical approach of Helgason or Jacobson. Gilmore and Wybourne address themselves to the physics community whereas Helgason and Jacobson address themselves to the mathematical community. This book is an attempt to synthesize the two points of view and address both audiences simultaneously. We wanted to present the subject in a way which is at once intuitive, geometric, applications oriented, mathematically rigorous, and accessible to students and researchers without an extensive background in physics, algebra, or geometry.
Visa hela texten

Passar bra ihop

  1. Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics
  2. +
  3. Topics in Stability and Bifurcation Theory

De som köpt den här boken har ofta också köpt Topics in Stability and Bifurcation Theory av David H Sattinger (häftad).

Köp båda 2 för 1758 kr

Kundrecensioner

Har du läst boken? Sätt ditt betyg »

Fler böcker av författarna

  • Selected Papers of Norman Levinson

    J A Nohel, D H Sattinger, Gian-Carlo Rota

    The deep and original ideas of Norman Levinson have had a lasting impact on fields as diverse as differential & integral equations, harmonic, complex & stochas tic analysis, and analytic number theory during more than half a century. Yet, ...

  • Nonlinear Problems in the Physical Sciences and Biology

    I Stakgold, D D Joseph, D H Sattinger

    Lyapunov methods and equations of parabolic type.- Multiple solutions of nonlinear partial differential equations.- Fading memory and functional-differential equations.- Singular perturbation by a quasilinear operator.- Remarks on branching from m...

Innehållsförteckning

A Lie Groups and Algebras.- 1 Lie Groups.- 2 Lie Algebras.- 3 Lie Groups and Algebras: Matrix Approach.- 4 Applications to Physics and Vice Versa.- B Differential Geometry and Lie Groups.- 5 Calculus on Manifolds.- 6 Symmetry Groups of Differential Equations.- 7 Invariant Forms on Lie Groups.- 8 Lie Groups and Algebras: Differential Geometric Approach.- C Algebraic Theory.- 9 General Structure of Lie Algebras.- 10 Structure of Semi-Simple Lie Algebras.- 11 Real Forms.- D Representation Theory.- 12 Representation Theory.- 13 Spinor Representations.- E Applications.- 14 Applications.