Design and Analysis of Computer Algorithms
by David M. Mount
Publisher: University of Maryland 2003
Number of pages: 135
Programming is a very complex task, and there are a number of aspects of programming that make it so complex. The first is that most programming projects are very large, requiring the coordinated efforts of many people. (This is the topic a course like software engineering.) The next is that many programming projects involve storing and accessing large quantities of data efficiently. (This is the topic of courses on data structures and databases.) The last is that many programming projects involve solving complex computational problems, for which simplistic or naive solutions may not be efficient enough. The complex problems may involve numerical data (the subject of courses on numerical analysis), but often they involve discrete data. This is where the topic of algorithm design and analysis is important.
Home page url
Download or read it online for free here:
by J. E. Cremona - Cambridge University Press
The author describes the construction of modular elliptic curves giving an algorithm for their computation. Then algorithms for the arithmetic of elliptic curves are presented. Finally, the results of the implementations of the algorithms are given.
by Donald E. Knuth - Addison-Wesley Professional
This work on the analysis of algorithms has long been recognized as the definitive description of classical computer science, arguably the most influential work ever written on computer programming. Volume 4 covers Combinatorial Algorithms.
by Herbert S. Wilf - AK Peters, Ltd.
An introductory textbook on the design and analysis of algorithms. Recursive algorithms are illustrated by Quicksort, FFT, and fast matrix multiplications. Algorithms in number theory are discussed with some applications to public key encryption.
by K. Mehlhorn, P. Sanders - Springer
This book is a concise introduction addressed to students and professionals familiar with programming and basic mathematical language. Individual chapters cover arrays and linked lists, hash tables and associative arrays, sorting and selection, etc.