Mathematics for physical chemistry

• Main Author: Mortimer, Robert G
• Format: eBook Book
• Language: English
• Published: Burlington, Mass Elsevier Academic 2005; Oxford Elsevier Science & Technology; Academic Press
• Edition: 3
• Subjects: Chemistry, Physical and theoretical; Chemistry, Physical and theoretical > Mathematics; Mathematics
• ISBN: 0125083475; 9780125083478

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 graduat...

Table of Contents:

• The Harmonic Oscillator: Linear Differential Equations with Constant Coefficients -- 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 -- Operators, Matrices, and Group Theory -- Operators and Operator Algebra -- Symmetry Operators -- Matrix Algebra -- Matrix Algebra with Mathematica -- An Elementary Introduction to Group Theory -- The Solution of Simultaneous Algebraic Equations -- Simultaneous Equations with More than Two Unknowns -- Cramer's Rule -- Solution by Matrix Inversion -- The Use of Mathematica to Solve Simultaneous Equations -- 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 -- Values of Physical Constants1 -- Some Mathematical Formulas and Identities -- Infinite Series -- Series with Constant Terms -- Power Series -- A Short Table of Derivatives -- A Short Table of Indefinite Integrals -- A Short Table of Definite Integrals -- Some Integrals with Exponentials in the Integrands: The Error Function -- Index
• Intro -- Contents -- Preface -- Numbers, Measurements, and Numerical Mathematics -- Numbers and Measurements -- Numerical Mathematical Operations -- Units of Measurement -- Numerical Calculations -- 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 -- 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 -- 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 -- 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 -- Mathematical Series and Transforms -- Constant Series -- Functional Series -- Fourier Series -- Mathematical Operations on Series -- Integral Transforms -- 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 -- Differential Equations -- Differential Equations and Newton's Laws of Motion