Methods of Mathematics Applied to Calculus, Probability, and Statistics

Preface
I. Algebra and Analytic Geometry
1. Prologue
2. The Integers
3. Fractions—Rational Numbers
4. Real Numbers, Functions, and Philosophy
5. Analytic Geometry. 6. Curves of Second Degree—Conics
II. The Calculus of Algebraic Functions
7. Derivatives in Geometry
8. Geometric Applications
9. Nongeometric Applications
10. Functions of Several Variables
11. Integration
12. Discrete Probability
13. Continuous Probability
III. The Transcendental Functions and Applications
14. The Logarithm Function
15. The Exponential Function
16. The Trigonometric Functions
17. Formal Integration
18. Applications Using One Independent Variable
19. Applications Using Several Independent Variables
IV. Miscellaneous Topics
20. Infinite Series
21. Applications of Infinite Series
22. Fourier Series
23. Differential Equations
24. Linear Differential Equations
25. Numerical Methods
26. Epilogue
Appendixes
Answers to Some of the Exercises
Index

Richard W. Hamming (1915–1998) was first a programmer of one of the earliest digital computers while assigned to the Manhattan Project in 1945, then for many years he worked at Bell Labs, and later at the Naval Postgraduate School in Monterey, California. He was a witty and iconoclastic mathematician and computer scientist whose work and influence still reverberates through the areas he was interested in and passionate about. Three of his long-lived books have been reprinted by Dover: Numerical Methods for Scientists and Engineers, 1987; Digital Filters, 1997; and Methods of Mathematics Applied to Calculus, Probability and Statistics, 2004.