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Concrete Mathematics




''Concrete Mathematics: A Foundation for Computer Science'', by is frequently used in the explanations and exercises. The term is also used to denote the opposite of abstract mathematics.

The book is based on a course originally taught in 1970 by Knuth at Stanford University . It expands on the material in the "Mathematical Preliminaries" section of Knuth's The Art Of Computer Programming . Consequently, some readers use it as an introduction to that famous series of books.

''Concrete Mathematics'' distinguishes itself through its informal, humorous style. The authors reject what they see as the dry style of most mathematics textbooks, and the margins contain "mathematical Graffiti ," comments submitted by the text's first editors: Knuth and Patashnik's students at Stanford.

As with all of Knuth's books, readers are invited to claim a Reward for any error found in the book, whether it is "technically, historically, typographically, or politically incorrect."http://www-cs-faculty.stanford.edu/~knuth/gkp.html


TYPOGRAPHY

Donald Knuth used the first edition of ''Concrete Mathematics'' as a test case for the AMS Euler typeface and Concrete Roman font.Donald E. Knuth. ''Typesetting Concrete Mathematics'', TUGboat 10 (1989), 31–36, 342. ''Reprinted as chapter 18 of the book ''Digital Typography''.


CHAPTER OUTLINE

# Recurrent Problems
# Summation
# Integer Functions
# Number Theory
# Binomial Coefficients
# Special Numbers
# Generating Functions
# Discrete Probability
# Asymptotics


EDITIONS

  • 1st edition: September 1988 (ISBN 0-201-14236-8)

  • 2nd edition: January 1994 (ISBN 0-201-55802-5)



NOTES



EXTERNAL LINKS