Mathematical Methods for Physical and Analytical Chemistry

Goodson, David Z.

1. Edition November 2011
416 Pages, Hardcover
Wiley & Sons Ltd

ISBN: 978-0-470-47354-2

John Wiley & Sons

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Mathematical Methods for Physical and Analytical Chemistry presents mathematical and statistical methods to students of chemistry at the intermediate, post-calculus level. The content includes a review of general calculus; a review of numerical techniques often omitted from calculus courses, such as cubic splines and Newton's method; a detailed treatment of statistical methods for experimental data analysis; complex numbers; extrapolation; linear algebra; and differential equations. With numerous example problems and helpful anecdotes, this text gives chemistry students the mathematical knowledge they need to understand the analytical and physical chemistry professional literature.

Preface.

List of Examples.

Greek Alphabet.

Part I. Calculus.

1. Functions: General Properties.

2. Functions: Examples.

3. Coordinate Systems.

4. Integration.

5. Numerical Methods.

6. Complex Numbers.

7. Extrapolation.

Part II. Statistics.

8. Estimation.

9. Analysis of Significance.

10. Fitting.

11. Quality of Fit.

12. Experiment Design.

Part III. Differential Equations.

13. Examples of Differential Equations.

14. Solving Differential Equations, I.

15. Solving Differential Equations, II.

Part IV. Linear Algebra.

16. Vector Spaces.

17. Spaces of Functions.

18. Matrices.

19. Eigenvalue Equations.

20. Schrödinger's Equation.

21. Fourier Analysis.

A. Computer Programs.

B. Answers to Selected Exercises.

C. Bibliography.

Index.

"Finally it can be said that this book helps to refresh and extend the knowledge about mathematical and statistical methods to be used for physico-chemical or analytical applications." (Materials and Corrosion, 1 November 2012)

David Z. Goodson, Associate Professor of Chemistry at the University of Massachusetts Dartmouth, has a BA in chemistry from Pomona College and a PhD in chemical physics from Harvard University. An interdisciplinary scientist, he is author of numerous articles on a wide range of topics including quantum chemistry, molecular spectroscopy, reaction rate theory, atomic physics, and applied mathematics.