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Mathematical Appendix

  1. Prof. Dr. Debashish Chowdhury1 and
  2. Prof. Dr. Dietrich Stauffer2

Published Online: 28 JAN 2005

DOI: 10.1002/3527603158.app1

Principles of Equilibrium Statistical Mechanics

Principles of Equilibrium Statistical Mechanics

How to Cite

Chowdhury, D. and Stauffer, D. (2000) Mathematical Appendix, in Principles of Equilibrium Statistical Mechanics, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527603158.app1

Author Information

  1. 1

    Indian Institute of Technology, Kanpur, India

  2. 2

    University of Cologne, Germany

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 27 JUL 2000

ISBN Information

Print ISBN: 9783527403004

Online ISBN: 9783527603152

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Summary

This appendix contains sections titled:

  • Introduction

  • Some Useful Integrals

  • Exact Differentials

  • Homogeneous Functions

    • Homogeneous Function of a Single Variable

    • Homogeneous Function of Arbitrary Number of Variables

    • Generalized Homogeneous Function

  • Convex and Concave Functions

    • Definitions

    • Geometrical Interpretation

  • Legendre Transformation

  • Volume of A d-Dimensional Sphere

  • Saddle point or Steepest-descent method

  • Functional derivatives

  • Stirling Formula

  • Perron-Frobenius Theorem

  • Probability and Statistics

    • Uniform Distribution

    • Binomial Distribution

    • Prom Binomial to Gaussian Distribution

    • Prom Binomial to Poisson Distribution

  • Problems