Mathematics for Physical Chemistry - 3rd Edition - ISBN: 9780125083478, 9780080492889

Mathematics for Physical Chemistry

3rd Edition

Authors: Robert Mortimer
eBook ISBN: 9780080492889
Paperback ISBN: 9780125083478
Imprint: Academic Press
Published Date: 10th June 2005
Page Count: 416
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Description

Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses.

The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data.

Key Features

  • Numerous examples and problems interspersed throughout the presentations
  • Each extensive chapter contains a preview, objectives, and summary
  • Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory
  • Provides chemistry specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics

Readership

New chemistry researchers and students in undergraduate and graduate programs, covering general through physical chemistry courses; especially students in honors chemistry courses.

Table of Contents

Preface
1. Numbers, Measurements, and Numerical Mathematics
Numbers and Measurements
Numerical Mathematical Operations
Units of Measurement
Numerical Calculations
2. Symbolic Mathematics and Mathematical Functions
Algebraic Operations on Real Scalar Variables
Trigonometric Functions
Inverse Trigonometric Functions
Vectors and Coordinate Systems
Imaginary and Complex Numbers
Problem Solving and Symbolic Mathematics
3. The Solution of Algebraic Equations
Algebraic Methods for Solving One Equation with One Unknown
Graphical Solution of Equations
Numerical Solution of Algebraic Equations
Simultaneous Equations: Two Equations with Two Unknowns
4. Mathematical Functions and Differential Calculus
Mathematical Functions
The Tangent Line and the Derivative of a Function
Differentials
Some Useful Facts about Derivatives
Higher-Order Derivatives
Maximum-Minimum Problems
Limiting Values of Functions: L’Hôpital’s Rule
5. Integral Calculus
The Antiderivative of a Function
The Process of Integration
Indefinite Integrals: Tables of Integrals
Improper Integrals
Methods of Integration
Numerical Integration
Probability Distributions and Mean Values
6. Mathematical Series and Transforms
Constant Series
Functional Series
Fourier Series
Mathematical Operations on Series
Integral Transforms
7. Calculus with Several Independent Variables
Functions of Several Independent Variables
Change of Variables
Additional Useful Relations Between Partial Derivatives
Exact and Inexact Differentials
Line Integrals
Multiple Integrals
Vector Derivative Operators
Maximum and Minimum Values of Functions of Several Variables
8. Differential Equations
Differential Equations and Newton’s Laws of Motion
The Harmonic Oscillator
Differential Equations with Separable Variables
Exact Differential Equations
Solution of Inexact Differential Equations by the Use of Integrating Factors
Partial Differential Equations: Waves in a String
Solution of Differential Equations with Laplace Transforms
Numerical Solutions of Differential Equations
9. Operators, Matrices, and Group Theory
Operators and Operator Algebra
Symmetry Operators
Matrix Algebra
Matrix Algebra with Mathematica
An Elementary Introduction to Group Theory
10. The Solution of Simultaneous Algebraic Equations
Simultaneous Equations with More than Two Unknowns
Cramer’s Rule
Solution by Matrix lnversion
The Use of Mathematica to Solve Simultaneous Equations
11. The Treatment of Experimental Data
Experimental Errors in Measured Quantities
Statistical Treatment of Random Errors
Data Reduction and the Propagation of Errors
Graphical and Numerical Data Reduction
Numerical Curve Fitting: The Method of Least Squares (Regression)
Appendixes
A.Values of Physical Constants
B. Some Mathematical Formulas and Identities
C. Infinite Series

Series with Constant Terms
Power Series
D. A Short Table of Derivatives
E. A Short Table of Indefinite Integrals
F. A Short Table of Definite Integrals
G. Some Integrals with Exponentials in the Integrands: The Error Function
Index

Details

No. of pages:
416
Language:
English
Copyright:
© Academic Press 2005
Published:
Imprint:
Academic Press
eBook ISBN:
9780080492889
Paperback ISBN:
9780125083478

About the Author

Robert Mortimer

Robert Mortimer has been a professor of chemistry at Rhodes College since 1981. He is the recipient of a Woodrow Wilson National Fellowship as well as a National Science Foundation Predoctoral Fellowship.

Affiliations and Expertise

Rhodes College, Memphis, TN, USA

Reviews

"The text is a fairly easy read, well laid out, and laced with examples that serve to illustrate several concepts at once, thus obviating the necessity of hundreds more. The student will derive benefit from the clarity, and the professional from a concise compilation of techniques stressing application rather than theory. As such this book will be useful to a wide range of physical scientists and engineers, as well as the interested life scientist. My summary: Recommended." - John A. Wass, for SCIENTIFIC COMPUTING AND INSTRUMENTATION