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| MATHEMATICS FOR PHYSICAL CHEMISTRY
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To order this title, and for more information, click here
Third Edition
By
Robert Mortimer, Rhodes College, Memphis, TN, USA
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.
Audience
New chemistry researchers and students in undergraduate and graduate programs, covering general through physical chemistry courses; especially students in honors chemistry courses.
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?Hopital?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
| Bibliographic details |
Paperback, 416 pages, publication date: JUN-2005
ISBN-13: 978-0-12-508347-8
ISBN-10: 0-12-508347-5
Imprint: ACADEMIC PRESS
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Price:
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Last update: 5 Sep 2009
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