Mathematics for Physical Chemistry

Mathematics for Physical Chemistry

3rd Edition - June 10, 2005

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  • Author: Robert Mortimer
  • eBook ISBN: 9780080492889

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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

Product details

  • No. of pages: 416
  • Language: English
  • Copyright: © Academic Press 2005
  • Published: June 10, 2005
  • Imprint: Academic Press
  • eBook ISBN: 9780080492889

About the Author

Robert Mortimer

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

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