Mathematics for the Analysis of Algorithms (Modern Birkhäuser Classics)
Edition: Reprint of the 1990 ed. edition
Publisher: Birkhäuser Boston
Published: October 5, 2007
Language: eng
Format: Paperback
Number of pages: 132
ISBN-13: 9780817647285
Subjects: Numerical analysis; Computers; Computers - General Information; Computer Books: General; Applied; Number Systems; Computers / Computer Science; algorithmic analysis; algorithms; asymptotic analysis; binomial identities; combinatorial analysis; complex variable theory; operator methods; recurrence relations; saddle point method; Computer Science
Description: A quantitative study of the efficiency of computer methods requires an in-depth understanding of both mathematics and computer science. This monograph, derived from an advanced computer science course at Stanford University, builds on the fundamentals of combinatorial analysis and complex variable theory to present many of the major paradigms used in the precise analysis of algorithms, emphasizing the more difficult notions. The authors cover recurrence relations, operator methods, and asymptotic analysis in a format that is terse enough for easy reference yet detailed enough for those with little background. Approximately half the book is devoted to original problems and solutions from examinations given at Stanford. "...a very valuable collection of mathematical techniques for the analysis of algorithms..." — Mathematical Reviews "The book covers the important mathematical tools used in computer science, especially in the exact analysis of algorithms. A wide range of topics are covered, from the binomial theorem to the saddle point method and Laplace’s techniques for asymptotic analysis...The book is very well written. The style and the mathematical exposition make the book pleasant to read...It covers many of the major paradigms used in the analysis of algorithms in its one hundred plus pages." — SIAM Review "The book presents a welcome selection and careful exposition of material that can be (and is) covered in a single course...In this reviewer’s opinion, this would be an interesting text to use with a group of advanced students well-grounded in undergraduate mathematics and computer science, and would produce a valuable course for the participating students." — Computing Reviews