Mathematics for Physical Chemistry
- 3rd Edition - June 10, 2005
- Author: Robert G. Mortimer
- Language: English
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
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
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
"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
"The book gives an overview of mathematical techniques used in physical chemistry. Analytical as well as algebraical topics are covered in an easy accessible way, without unnecessary mathematical proofs and explanations. The book is particularly well suited as a reference book for all of the mathematical formulas and techniques that frequently arise in physical chemistry courses at universities."—zbMATH Open
"The book gives an overview of mathematical techniques used in physical chemistry. Analytical as well as algebraical topics are covered in an easy accessible way, without unnecessary mathematical proofs and explanations. The book is particularly well suited as a reference book for all of the mathematical formulas and techniques that frequently arise in physical chemistry courses at universities."—zbMATH Open
- Edition: 3
- Published: June 10, 2005
- Language: English
RM
Robert G. Mortimer
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