This text offers a comprehensive and accessible treatment of the theory of algorithms and complexity - the elegant body of concepts and methods developed by computer scientists over the past 30 years for studying the performance and limitations of computer algorithms. Among topics covered are: reductions and NP-completeness, cryptography and protocols, randomized algorithms, and approximability of optimization problems, circuit complexity, the "structural" aspects of the P=NP question, parallel computation, the polynomial hierarchy, and many others. Several sophisticated and recent results are presented in a rather simple way, while many more are developed in the form of extensive notes, problems, and hints. The book is surprisingly self-contained, in that it develops all necessary mathematical prerequisites from such diverse fields as computability, logic, number theory, combinatorics and probability.

Computational Complexity

Science & Math

Papadimitriou, Christos H.

Mathematics

Addison-Wesley Pub., Co

Clearly written graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; approximation algorithms, local search heuristics for NP-complete problems, more. "Mathematicians wishing a self-contained introduction need look no further." €” American Mathematical Monthly. 1982 edition.

Combinatorial Optimization: Algorithms and Complexity

Computers & Technology

PRENTICE/HALL

Our hero is Turing, an interactive tutoring program and namesake (or virtual emanation?) of Alan Turing, World War II code breaker and father of computer science. In this unusual novel, Turing's idiosyncratic version of intellectual history from a computational point of view unfolds in tandem with the story of a love affair involving Ethel, a successful computer executive, Alexandros, a melancholy archaeologist, and Ian, a charismatic hacker. After Ethel (who shares her first name with Alan Turing's mother) abandons Alexandros following a sundrenched idyll on Corfu, Turing appears on Alexandros's computer screen to unfurl a tutorial on the history of ideas. He begins with the philosopher-mathematicians of ancient Greece -- "discourse, dialogue, argument, proof...can only thrive in an egalitarian society" -- and the Arab scholar in ninth-century Baghdad who invented algorithms; he moves on to many other topics, including cryptography and artificial intelligence, even economics and developmental biology. (These lessons are later critiqued amusingly and developed further in postings by a fictional newsgroup in the book's afterword.) As Turing's lectures progress, the lives of Alexandros, Ethel, and Ian converge in dramatic fashion, and the story takes us from Corfu to Hong Kong, from Athens to San Francisco -- and of course to the Internet, the disruptive technological and social force that emerges as the main locale and protagonist of the novel.
Alternately pedagogical and romantic, Turing (A Novel about Computation) should appeal both to students and professionals who want a clear and entertaining account of the development of computation and to the general reader who enjoys novels of ideas.

Turing: A Novel About Computation

Literature & Fiction

Mit Pr

Turing (A Novel about Computation)

The MIT Press

The world of computation according to Turing, an interactive tutoring program, as told to star-crossed lovers: a novel.
Our hero is Turing, an interactive tutoring program and namesake (or virtual emanation?) of Alan Turing, World War II code breaker and father of computer science. In this unusual novel, Turing's idiosyncratic version of intellectual history from a computational point of view unfolds in tandem with the story of a love affair involving Ethel, a successful computer executive, Alexandros, a melancholy archaeologist, and Ian, a charismatic hacker. After Ethel (who shares her first name with Alan Turing's mother) abandons Alexandros following a sundrenched idyll on Corfu, Turing appears on Alexandros's computer screen to unfurl a tutorial on the history of ideas. He begins with the philosopher-mathematicians of ancient Greece―"discourse, dialogue, argument, proof... can only thrive in an egalitarian society"―and the Arab scholar in ninth-century Baghdad who invented algorithms; he moves on to many other topics, including cryptography and artificial intelligence, even economics and developmental biology. (These lessons are later critiqued amusingly and developed further in postings by a fictional newsgroup in the book's afterword.) As Turing's lectures progress, the lives of Alexandros, Ethel, and Ian converge in dramatic fashion, and the story takes us from Corfu to Hong Kong, from Athens to San Francisco―and of course to the Internet, the disruptive technological and social force that emerges as the main locale and protagonist of the novel.
Alternately pedagogical and romantic, Turing (A Novel about Computation) should appeal both to students and professionals who want a clear and entertaining account of the development of computation and to the general reader who enjoys novels of ideas.

United States

MIT Press]

This clearly written, mathematically rigorous text includes a novel algorithmic exposition of the simplex method and also discusses the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; approximation algorithms, local search heuristics for NP-complete problems, more. All chapters are supplemented by thought-provoking problems. A useful work for graduate-level students with backgrounds in computer science, operations research, and electrical engineering. "Mathematicians wishing a self-contained introduction need look no further." — American Mathematical Monthly.

Combinatorial Optimization: Algorithms and Complexity (Dover Books on Computer Science)

Steiglitz, Kenneth

Dover Publications

Logicomix: Eine epische Suche nach Wahrheit

Biographies & Memoirs

Doxiadis, Apostolos

Professionals & Academics

Atrium Verlag

The practical successes of computer science are built on its elegant and solid foundations. The purpose of this book is to introduce students to these fundamental ideas, models, and results that permeate computer science-the basic paradigms of this field. Much of modern computation is based more or less explicitly on these ideas and models of lasting value though mathematical in nature. It is hard to understand computer science without first being exposed to these formal foundations. This book provides coverage of the basics of classical and contemporary theory of computation. The topics covered include the theory of automata and formal languages, computability by turing machines and recursive functions, uncomputability, computational complexity, and boolean logic. The second edition also provides a descent introduction to the subject of algorithms. The rudiments of the design and analysis of algorithms are first introduced and then linked with the models of computation studied in the text. The book also explains an array of algorithmic techniques that have been successfully used in dealing with np-complete problems. In a nutshell, the essentials of the subject of computation and algorithms are made more accessible to students in a way that is mathematically sound but the viewpoint is that of computer science.

Elements of the Theory of Computation 2nd Ed

Lewis, Papadimitriou

Prentice-Hall of India

En su busqueda desesperada de la verdad absoluta, Russell se cruza por el camino con pensadores legendarios como Gottlob Frege, Hilbert y Gödel, a la vez que encuentra a un alumno entusiasta en Ludwig Wittgenstein. Navegando en un mar agitado por las olas de amor y odio, paz y guerra, Russell persiste en su obstinada mision, un esfuerzo demoledor que amenaza con acabar con su carrera y su felicidad personal. / This story is at the same time a historical novel and an accessible explication of some of the biggest ideas of mathematics and modern philosophy. With rich characterizations and expressive, atmospheric artwork, the book spins the pursuit of these ideas into a highly satisfying tale.

Logicomix: Una búsqueda épica de la verdad (Spanish Edition)

Comics & Graphic Novels

Papadatos, Alecos

Di Donna, Annie

Graphic Novels

Salamandra

Logicomix: Una búsqueda épica de la verdad

Salamandra Graphic

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