Mathematics for Physical Chemistry, Fifth Edition includes exercises that enable readers to test their understanding and put theory into practice. Chapters are constructed around a sequence of mathematical topics, progressing gradually into more advanced material, before discussing key mathematical skills, including the analysis of experimental data and-new to this edition-complex variables. Includes additional new content on Mathematica and its advanced applications. Drawing on the experience of its expert authors, this book is the ideal supplementary text for practicing chemists and students wanting to sharpen their mathematics skills and understanding of key mathematical concepts for applications across physical chemistry.
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Table of Contents
1. Problem Solving and Numerical Mathematics
2. Mathematical Functions
3. Problem Solving and Symbolic Mathematics: Algebra
4. Vectors and Vector Algebra
5. Problem Solving and the Solution of Algebraic Equations
6. Differential Calculus
7. Integral Calculus
8. Differential Calculus with Several Independent Variables
9. Integral Calculus with Several Independent Variables
10. Mathematical Series
11. Functional Series and Integral Transforms
12. Differential Equations
13. Operators, Matrices, and Group Theory
14. The Solution of Simultaneous Algebraic Equations with More than Two Unknowns
15. Complex Variables
16. Probability, Statistics, and Experimental Error
17. Data Reduction and the Propagation of Errors
18. Mathematica: Advanced Applications