Richard W. Hamming: The Computer IconRichard 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.
In the Author's Own Words:
"The purpose of computing is insight, not numbers."

"There are wavelengths that people cannot see, there are sounds that people cannot hear, and maybe computers have thoughts that people cannot think."
"Whereas Newton could say, 'If I have seen a little farther than others, it is because I have stood on the shoulders of giants, I am forced to say, 'Today we stand on each other's feet.' Perhaps the central problem we face in all of computer science is how we are to get to the situation where we build on top of the work of others rather than redoing so much of it in a trivially different way."
"If you don't work on important problems, it's not likely that you'll do important work." — Richard W. Hamming

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

This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.