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Description
A solid understanding of mathematical principles can greatly enhance a researcher's tool kit and understanding exactly how key mathematical concepts and methods are applied in their own field is hugely beneficial. Mathematics for Physical Chemistry specifically emphasizes the use of mathematics in the context of physical chemistry, covering foundational principles, advanced concepts, and practical applications. Now in its 5th edition, Mathematics for Physical Chemistry includes exercises in each chapter allowing readers to test their learning and put theory into practice. The early chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material, before further discussion of such key mathematical skills as the analysis of experimental data and, newly to this edition, complex variables. Additional new content on Mathematica and its advanced applications has also been added. Drawing on the experience of its expert authors Mathematics for Physical Chemistry is the ideal supplementary text for practicing chemists and students who want to sharpen their mathematics skills and refine their understanding of key mathematical concepts for application across physical chemistry. 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 Appendices A. Values of Physical Constants B. Some Mathematical Formulas and Identities C. Infinite Series D. A Short Table of Derivatives E. A Short Table of Indefinite Integrals F. A Short Table of Definite Integrals G. Some Integrals with Exponentials in the Integrands: The Error Function H. Answers to Selected Numerical Exercises and Problems Related Topics Chemistry |
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