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