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- 3rd Edition - June 10, 2005
- Author: Robert G. Mortimer
- Language: English
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 4 9 2 8 8 - 9

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 reade… Read more

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Immediately download your ebook while waiting for your print delivery. No promo code is needed.

*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.

- 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

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

Preface**1. Numbers, Measurements, and Numerical Mathematics **Numbers and Measurements Numerical Mathematical OperationsUnits of Measurement Numerical Calculations**2. Symbolic Mathematics and Mathematical Functions**Algebraic Operations on Real Scalar VariablesTrigonometric FunctionsInverse Trigonometric FunctionsVectors and Coordinate SystemsImaginary and Complex NumbersProblem Solving and Symbolic Mathematics**3. The Solution of Algebraic Equations**Algebraic Methods for Solving One Equation with One UnknownGraphical Solution of EquationsNumerical Solution of Algebraic EquationsSimultaneous Equations: Two Equations with Two Unknowns**4. Mathematical Functions and Differential Calculus**Mathematical FunctionsThe Tangent Line and the Derivative of a Function Differentials Some Useful Facts about DerivativesHigher-Order DerivativesMaximum-Minimum ProblemsLimiting Values of Functions: L’Hôpital’s Rule**5. Integral Calculus**The Antiderivative of a FunctionThe Process of IntegrationIndefinite Integrals: Tables of IntegralsImproper IntegralsMethods of IntegrationNumerical IntegrationProbability Distributions and Mean Values**6. Mathematical Series and Transforms**Constant Series Functional SeriesFourier SeriesMathematical Operations on SeriesIntegral Transforms**7. Calculus with Several Independent Variables**Functions of Several Independent VariablesChange of VariablesAdditional Useful Relations Between Partial DerivativesExact and Inexact DifferentialsLine IntegralsMultiple IntegralsVector Derivative OperatorsMaximum and Minimum Values of Functions of Several Variables **8. Differential Equations**Differential Equations and Newton’s Laws of Motion The Harmonic OscillatorDifferential Equations with Separable VariablesExact Differential EquationsSolution of Inexact Differential Equations by the Use of Integrating FactorsPartial Differential Equations: Waves in a StringSolution of Differential Equations with Laplace TransformsNumerical Solutions of Differential Equations**9. Operators, Matrices, and Group Theory**Operators and Operator Algebra Symmetry OperatorsMatrix AlgebraMatrix Algebra with MathematicaAn Elementary Introduction to Group Theory**10. The Solution of Simultaneous Algebraic Equations**Simultaneous Equations with More than Two Unknowns Cramer’s RuleSolution by Matrix lnversionThe Use of Mathematica to Solve Simultaneous Equations**11. The Treatment of Experimental Data**Experimental Errors in Measured QuantitiesStatistical Treatment of Random ErrorsData Reduction and the Propagation of ErrorsGraphical and Numerical Data ReductionNumerical Curve Fitting: The Method of Least Squares (Regression)**AppendixesA.Values of Physical ConstantsB. Some Mathematical Formulas and IdentitiesC. Infinite Series**Series with Constant TermsPower Series**D. A Short Table of DerivativesE. A Short Table of Indefinite IntegralsF. A Short Table of Definite IntegralsG. Some Integrals with Exponentials in the Integrands: The Error FunctionIndex**

- No. of pages: 416
- Language: English
- Edition: 3
- Published: June 10, 2005
- Imprint: Academic Press
- eBook ISBN: 9780080492889

RM

Robert G. Mortimer is a Professor Emeritus of Chemistry at Rhodes College in Memphis, Tennessee. He has taught physical chemistry at Indiana University and Rhodes College for over 40 years. He has carried out both experimental and theoretical research in the area of nonequilibrium processes in fluid systems.

Affiliations and expertise

Professor Emeritus of Chemistry, Rhodes College, Memphis, TN, USARead *Mathematics for Physical Chemistry* on ScienceDirect