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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.
List of Contributors
Contents of Previous Volumes
Chapter 9 / Methods in Lattice Statistics
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
Chapter 10 / Probability Theory and Stochastic Processes
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
Chapter 11 / Nonequilibrium Problems—Projection Operator Techniques
II. The Projection Operator Technique
III. Brownian Motion
IV. Further Applications—Lowest Order Results
V. Higher Order Results
Chapter 12 / Scattering Theory
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
IX. The Optical Model
X. The R-Matrix Theory
Chapter 13 / The Solution of Integral and Differential Equations
II. Theory of Operator Equations—Fundamentals
III. Integral Equations: Linear and Nonlinear
IV. Differential Equations, Mainly Nonlinear
V. Methods of Solution
- No. of pages:
- © Academic Press 1975
- 28th January 1975
- Academic Press
- eBook ISBN:
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