# 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

## 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)**AppendixesA.Values of Physical ConstantsB. Some Mathematical Formulas and IdentitiesC. 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

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:
- 10th June 2005

- 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