Overview

The goal of this book is to support and enhance the interactions between mathematics and physics by making full use of the modern information technologies. It emphasises mathematical physics as opposed to mathematics on one side and physics on the other.

Full Product Details

Author:   Irina Ya. Aref'eva ,  Daniel Sternheimer
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Edition. ed.
ISBN:  

9781402050503

ISBN 10:   140205050
Pages:   2500
Publication Date:   August 2007
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Mixed media product
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1. Algebra, Geometry and Analysis in Modern Mathematical Physics 1.1 Algebra 1.2 Geometry 1.3 Analysis 2. Dynamical systems in Mathematical Physics and Classical Mathematical Physics 2.1 Classical Mechanics 2.2 Dynamical Systems 2.3 Partial Differential Equations of classical 2.4 Mechanics of continuous medium/ continuum 3. Quantum Mechanics 3.1 Quantization 3.2 Spectral and scattering theories 3.3 Inverse scattering problems 3.4 Perturbative and asymptotic methods 3.5 Quantum dynamical systems 3.6 Open quantum systems 3.7 Random potentials 3.8 Measurements and quantum information 4. Quantum Field Theory 4.1 Fields, Symmetries and Lagrangians 4.2 Quantization 4.3 Axiomatic QFT 4.4 Perturbative QFT 4.5 Non-perturbative QFT 4.6 QFT on Manifolds and in External Fields 5. Statistical Physics 5.1 Equilibrium Statistical Mechanics 5.2 Nonequilibrium Statistical Mechanics 5.3 Condensed Matter and Solid States 5.4 Disordered systems 6. Integrable Systems 6.1 Classical Integrable Models 6.2 Quantum Integrable Models 6.3 Equations 6.4 Algebro-geometrical methods 7. Mathematical aspects of General Relativity 7.1 Exact solutions of the Einstein equations 7.2 Einstein's equations with matter 7.3 Hamiltonian method in General Relativity 7.4 Variation methods in General Relativity 7.5 Global methods and singularities theorems 7.6 Black Holes 7.7 Kaluza-Klein theories 7.8 Supergravity 7.9 Brane Worlds 7.10 Einstein-Cartan Theory 7.11 Spinors, spin coefficients, and twisters 7.12 Cosmology 7.13 Computational methods in general relativity - the theory 8. String Theory 8.1 Bosonic String 8.2 Superstring Theories, 5 Types of Superstrings 8.3 D-Branes 8.4 Dualities in String Theories 8.5 String Field Theories 8.6 Compactifications. 8.7 Topological Strings 8.8 M Theory 8.9 Phenomenology of String Theories

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