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.
1. Mathematics for Physical Chemistry - p. Page i 2. Cover - p. Page i 3. Front Matter - p. Page i 4. Table of Contents - p. Page iii 5. Copyright - p. Page iii 6. Contents - p. Page v 7. Preface - p. Page v 8. List of Illustrations - p. Page vii 9. List of Tables - p. Page viii 10. Chapter 1 : Problem Solving and Numerical Mathematics - p. Page viii 11. Chapter 2 : Mathematical Functions - p. Page 8 12. Chapter 3 : Symbolic Mathematics: Algebra - p. Page 22 13. Chapter 4 : Vectors and Vector Algebra - p. Page 32 14. Chapter 5 : The Solution of Algebraic Equations - p. Page 40 15. Chapter 6 : Differential Calculus - p. Page 56 16. Chapter 7 : Integral Calculus - p. Page 69 17. Chapter 8 : Differential Calculus With Several Independent Variables - p. Page 85 18. Chapter 9 : Integral Calculus With Several Independent Variables - p. Page 104 19. Chapter 10 : Mathematical Series - p. Page 115 20. Chapter 11 : Functional Series and Integral Transforms - p. Page 126 21. Chapter 12 : Differential Equations - p. Page 136 22. Chapter 13 : Operators, Matrices, and Group Theory - p. Page 157 23. Chapter 14 : The Solution of Simultaneous Algebraic Equations With More Than Two Unknowns - p. Page 179 24. Chapter 15 : Complex Variables - p. Page 188 25. Chapter 16 : Probability, Statistics, and Experimental Errors - p. Page 196 26. Chapter 17 : Data Reduction and the Propagation of Errors - p. Page 212 27. Chapter 18 : Mathematica: Advanced Applications - p. Page 228 28. Appendices - p. Page 239 29. Additional Reading - p. Page 251 30. Index - p. Page 255
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.
1. Mathematics for Physical Chemistry - p. Page i 2. Cover - p. Page i 3. Front Matter - p. Page i 4. Table of Contents - p. Page iii 5. Copyright - p. Page iii 6. Contents - p. Page v 7. Preface - p. Page v 8. List of Illustrations - p. Page vii 9. List of Tables - p. Page viii 10. Chapter 1 : Problem Solving and Numerical Mathematics - p. Page viii 11. Chapter 2 : Mathematical Functions - p. Page 8 12. Chapter 3 : Symbolic Mathematics: Algebra - p. Page 22 13. Chapter 4 : Vectors and Vector Algebra - p. Page 32 14. Chapter 5 : The Solution of Algebraic Equations - p. Page 40 15. Chapter 6 : Differential Calculus - p. Page 56 16. Chapter 7 : Integral Calculus - p. Page 69 17. Chapter 8 : Differential Calculus With Several Independent Variables - p. Page 85 18. Chapter 9 : Integral Calculus With Several Independent Variables - p. Page 104 19. Chapter 10 : Mathematical Series - p. Page 115 20. Chapter 11 : Functional Series and Integral Transforms - p. Page 126 21. Chapter 12 : Differential Equations - p. Page 136 22. Chapter 13 : Operators, Matrices, and Group Theory - p. Page 157 23. Chapter 14 : The Solution of Simultaneous Algebraic Equations With More Than Two Unknowns - p. Page 179 24. Chapter 15 : Complex Variables - p. Page 188 25. Chapter 16 : Probability, Statistics, and Experimental Errors - p. Page 196 26. Chapter 17 : Data Reduction and the Propagation of Errors - p. Page 212 27. Chapter 18 : Mathematica: Advanced Applications - p. Page 228 28. Appendices - p. Page 239 29. Additional Reading - p. Page 251 30. Index - p. Page 255
