Mathematical Methods for Physical and Analytical Chemistry (eBook)

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.

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)