Mathematical Methods XIB

Mathematical Methods XIB

1st Edition - January 1, 1975

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  • Editor: Douglas Henderson
  • eBook ISBN: 9780323147699

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Description

Physical Chemistry: An Advanced Treatise, Volume XIB: Mathematical Methods focuses on mathematical techniques that consist of concepts relating to differentiation and integration. This book discusses the methods in lattice statistics, Pfaffian solution of the planar Ising problem, and probability theory and stochastic processes. The random variables and probability distributions, non-equilibrium problems, Brownian motion, and scattering theory are also elaborated. This text likewise covers the elastic scattering from atoms, solution of integral and differential equations, concepts in graph theory, and theory of operator equations. This volume provides graduate and physical chemistry students a basic understanding of mathematical techniques important in chemistry.

Table of Contents


  • List of Contributors

    Foreword

    Preface

    Contents of Previous Volumes

    Chapter 9 / Methods in Lattice Statistics

    I. Introduction

    II. Concepts in Graph Theory

    III. Evaluation of Lattice Constants

    IV. Exact Series Expansions

    V. The Dimer Problem

    VI. Pfaffian Solution of the Planar Ising Problem

    Appendix—Methods of Series Analysis

    References

    Chapter 10 / Probability Theory and Stochastic Processes

    I. Introduction

    II. Random Variables and Probability Distributions

    III. Functions of Random Variables

    IV. Stochastic Processes—General

    V. Stochastic Processes Discrete in Both Sample Space and Time

    VI. Stochastic Processes Discrete in Sample Space but Continuous in Time

    VII. Stochastic Processes Continuous in Both Sample Space and Time

    References

    Chapter 11 / Nonequilibrium Problems—Projection Operator Techniques

    I. Introduction

    II. The Projection Operator Technique

    III. Brownian Motion

    IV. Further Applications—Lowest Order Results

    V. Higher Order Results

    References

    Chapter 12 / Scattering Theory

    I. Introduction

    II. Simple Particle Scattering from a Fixed Center

    III. The Green's Function and Solutions to an Inhomogeneous Differential Equation

    IV. Elastic Scattering from Atoms

    V. Inelastic Scattering

    VI. The Multichannel Scattering Matrix

    VII. Approximate Wave Functions

    VIII. Autoionization

    IX. The Optical Model

    X. The R-Matrix Theory

    References

    Chapter 13 / The Solution of Integral and Differential Equations

    I. Introduction

    II. Theory of Operator Equations—Fundamentals

    III. Integral Equations: Linear and Nonlinear

    IV. Differential Equations, Mainly Nonlinear

    V. Methods of Solution

    References

    Author Index

    Subject Index

Product details

  • No. of pages: 508
  • Language: English
  • Copyright: © Academic Press 1975
  • Published: January 1, 1975
  • Imprint: Academic Press
  • eBook ISBN: 9780323147699

About the Editor

Douglas Henderson

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