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Statistical Mechanics and Fractals : Springer Lab Manuals - Roland Dobrushin

Statistical Mechanics and Fractals

Springer Lab Manuals

Paperback Published: 20th December 1993
ISBN: 9783540575160
Number Of Pages: 102

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This book is composed of two texts, by R.L. Dobrushin and S.Kusuoka, each representing the content of a course oflectures given by the authors. They are pitched at graduatestudent level and are thus very accessible introductions totheir respective subjects for students and non specialists.CONTENTS: R.L. Dobrushin: On the Way to the MathematicalFoundations of Statistical Mechanics.- S. Kusuoka: DiffusionProcesses on Nested Fractals.

Calculus of Variations I The Lagrangian Formalism
The First Variation and Necessary Conditions
The First Variation; Variational Problems with Subsidiary Conditions
General Variational Formulas
The Second Variation and Sufficient Conditions
Second Variation
Excess function
Weak Minimizers and Jacobi Theory
Weierstrass Field Theory for One-dimensional Integrals and Strong Minimizers
CALCULUS OF VARIATIONS II The Hamiltonian Formalism
Canonical Formalism and Hamilton-Jacobi Theory
Legendre Transformation
Hamiltonian Systems
Field Theories
Parametric Variational Integrals
Hamilton-Jacobi Theory and Canonical Transformations
Hamilton-Jacobi Theory and Canonical Transformations
Partial Differential Equations of First Order and Contact Transformations
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540575160
ISBN-10: 3540575162
Series: Springer Lab Manuals
Audience: General
Format: Paperback
Language: English
Number Of Pages: 102
Published: 20th December 1993
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.56
Weight (kg): 0.16