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