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Mathematics for Physical Chemistry,

Edition 3

Editors: By Robert G. Mortimer

Publication Date: 10 Jun 2005

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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

About the author

By Robert G. Mortimer, Professor Emeritus of Chemistry, Rhodes College, Memphis, TN, USA

Preface1. Numbers, Measurements, and Numerical Mathematics Numbers and Measurements Numerical Mathematical OperationsUnits of Measurement Numerical Calculations2. Symbolic Mathematics and Mathematical FunctionsAlgebraic Operations on Real Scalar VariablesTrigonometric FunctionsInverse Trigonometric FunctionsVectors and Coordinate SystemsImaginary and Complex NumbersProblem Solving and Symbolic Mathematics3. The Solution of Algebraic EquationsAlgebraic Methods for Solving One Equation with One UnknownGraphical Solution of EquationsNumerical Solution of Algebraic EquationsSimultaneous Equations: Two Equations with Two Unknowns4. Mathematical Functions and Differential CalculusMathematical 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 Rule5. Integral CalculusThe Antiderivative of a FunctionThe Process of IntegrationIndefinite Integrals: Tables of IntegralsImproper IntegralsMethods of IntegrationNumerical IntegrationProbability Distributions and Mean Values6. Mathematical Series and TransformsConstant Series Functional SeriesFourier SeriesMathematical Operations on SeriesIntegral Transforms7. Calculus with Several Independent VariablesFunctions 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 EquationsDifferential 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 Equations9. Operators, Matrices, and Group TheoryOperators and Operator Algebra Symmetry OperatorsMatrix AlgebraMatrix Algebra with MathematicaAn Elementary Introduction to Group Theory10. The Solution of Simultaneous Algebraic EquationsSimultaneous Equations with More than Two Unknowns Cramer’s RuleSolution by Matrix lnversionThe Use of Mathematica to Solve Simultaneous Equations11. The Treatment of Experimental DataExperimental 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 SeriesSeries with Constant TermsPower SeriesD. 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

ISBN: 9780125083478

Page Count: 416

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

Mathematics for Physical Chemistry,

Editors: By Robert G. Mortimer

Key Features

About the author

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