Discrete Mathematics And Theoretical Computer Science

Author : Gunther Schmidt,Thomas Ströhlein
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642779688

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Relations and Graphs by Gunther Schmidt,Thomas Ströhlein Pdf

Relational methods can be found at various places in computer science, notably in data base theory, relational semantics of concurrency, relationaltype theory, analysis of rewriting systems, and modern programming language design. In addition, they appear in algorithms analysis and in the bulk of discrete mathematics taught to computer scientists. This book is devoted to the background of these methods. It explains how to use relational and graph-theoretic methods systematically in computer science. A powerful formal framework of relational algebra is developed with respect to applications to a diverse range of problem areas. Results are first motivated by practical examples, often visualized by both Boolean 0-1-matrices and graphs, and then derived algebraically.

Author : Gregory J. Chaitin
Publisher : Springer Science & Business Media
Page : 164 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781447103073

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Exploring RANDOMNESS by Gregory J. Chaitin Pdf

This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size complexity. The two previous volumes are more concerned with applications to meta-mathematics. LISP is used to present the key algorithms and to enable computer users to interact with the authors proofs and discover for themselves how they work. The LISP code for this book is available at the author's Web site together with a Java applet LISP interpreter. "No one has looked deeper and farther into the abyss of randomness and its role in mathematics than Greg Chaitin. This book tells you everything hes seen. Don miss it." John Casti, Santa Fe Institute, Author of Goedel: A Life of Logic.'

Author : Cristian Calude
Publisher : Springer Verlag Singapour
Page : 368 pages
File Size : 46,8 Mb
Release : 1999
Category : Computers
ISBN : UOM:39015043820334

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People & Ideas in Theoretical Computer Science by Cristian Calude Pdf

Theory and theoreticians have played a major role in computer science. Many insights into the nature of efficient computations were gained and theory was crucial for some of the most celebrated engineering triumphs of computer science (e.g., in compiler design, databases, multitask operating systems, to name just a few). Theoretical computer science (TCS) functions as a communication bridge between computer science and other subjects, notably, mathematics, linguistics, biology; it is a champion in developing unconventional models of computation (DNA, quantum). This book collects personal accounts and reflections of fourteen eminent scientists who have dedicated themselves to the craft of TCS. Contributions focus on authors specific interests, experiences, and reminiscences. The emerging picture, which is just one among other possible ones, should be a catalyst for further developments and continuations. Was most interested to learn about the project, which should be a worthwhile one." N. Chomsky, MIT. "The human story of creativity is inspiring and documents a very noble activity - the creation of knowledge in its most beautiful and useful form - the creation of a science. Supplying the technical and intellectual tools to probe some of the most fascinating questions about the nature of thought and intelligence, theoretical computer science is trying to grasp the limits of rational thought, the limits of knowable. This book will contribute to the understanding of the creation of a magnificent science." J. Hartmanis, NSF. "This is obviously an extremely worthwhile project." D. E. Knuth, Stanford University.

Author : Gary Haggard,John Schlipf,Sue Whitesides
Publisher : Cengage Learning
Page : 0 pages
File Size : 51,7 Mb
Release : 2006
Category : Computers
ISBN : 053449501X

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Discrete Mathematics for Computer Science by Gary Haggard,John Schlipf,Sue Whitesides Pdf

Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career.

Author : Cristian S. Calude,Michael J. Dinneen,Vincent Vajnovszki
Publisher : Springer
Page : 300 pages
File Size : 41,5 Mb
Release : 2007-03-05
Category : Computers
ISBN : 9783540450665

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Discrete Mathematics and Theoretical Computer Science by Cristian S. Calude,Michael J. Dinneen,Vincent Vajnovszki Pdf

The refereed proceedings of the 4th International Conference on Discrete Mathematics and Theoretical Computer Science, DMTCS 2003, held in Dijon, France, in July 2003. The 18 revised full papers presented together with 5 invited papers were carefully reviewed and selected from 35 submissions. A broad variety of topics in discrete mathematics and the theory of computing is addressed including information theory, coding, algorithms, complexity, automata, computational mathematics, combinatorial computations, graph computations, algorithmic geometry, relational methods, game-theoretic methods, combinatorial optimization, and finite state systems.

Author : Alejandro Estrada Moreno,Juan Alberto Rodriguez Velazquez
Publisher : Mdpi AG
Page : 258 pages
File Size : 55,6 Mb
Release : 2022-02-10
Category : Mathematics
ISBN : 3036531777

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Theoretical Computer Science and Discrete Mathematics by Alejandro Estrada Moreno,Juan Alberto Rodriguez Velazquez Pdf

This book includes 15 articles published in the Special Issue "Theoretical Computer Science and Discrete Mathematics" of Symmetry (ISSN 2073-8994). This Special Issue is devoted to original and significant contributions to theoretical computer science and discrete mathematics. The aim was to bring together research papers linking different areas of discrete mathematics and theoretical computer science, as well as applications of discrete mathematics to other areas of science and technology. The Special Issue covers topics in discrete mathematics including (but not limited to) graph theory, cryptography, numerical semigroups, discrete optimization, algorithms, and complexity.

Author : Jean-Pierre Gazeau,Jaroslav Nešetřil,Branislav Rovan
Publisher : IOS Press
Page : 349 pages
File Size : 50,6 Mb
Release : 2007
Category : Science
ISBN : 9781586037062

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Physics and Theoretical Computer Science by Jean-Pierre Gazeau,Jaroslav Nešetřil,Branislav Rovan Pdf

Aims to reinforce the interface between physical sciences, theoretical computer science, and discrete mathematics. This book assembles theoretical physicists and specialists of theoretical informatics and discrete mathematics in order to learn about developments in cryptography, algorithmics, and more.

Author : Cristian S. Calude,Gheorghe Paun
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447107514

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Finite Versus Infinite by Cristian S. Calude,Gheorghe Paun Pdf

The finite - infinite interplay is central in human thinking, from ancient philosophers and mathematicians (Zeno, Pythagoras), to modern mathe matics (Cantor, Hilbert) and computer science (Turing, Godel). Recent developments in mathematics and computer science suggest a) radically new answers to classical questions (e. g. , does infinity exist?, where does infinity come from?, how to reconcile the finiteness of the human brain with the infinity of ideas it produces?), b) new questions of debate (e. g. , what is the role played by randomness?, are computers capable of handling the infinity through unconventional media of computation?, how can one approximate efficiently the finite by the infinite and, conversely, the infinite by finite?). Distinguished authors from around the world, many of them architects of the mathematics and computer science for the new century, contribute to the volume. Papers are as varied as Professor Marcus' activity, to whom this volume is dedicated. They range from real analysis to DNA com puting, from linguistics to logic, from combinatorics on words to symbolic dynamics, from automata theory to geography, and so on, plus an incursion into the old history of conceptions about infinity and a list of philosophical "open problems". They are mainly mathematical and theoretical computer science texts, but not all of them are purely mathematical.

Author : Gregory J. Chaitin
Publisher : Springer Science & Business Media
Page : 148 pages
File Size : 40,5 Mb
Release : 1999-07-01
Category : Mathematics
ISBN : 9814021725

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The Unknowable by Gregory J. Chaitin Pdf

This essential companion to Chaitins highly successful The Limits of Mathematics, gives a brilliant historical survey of important work on the foundations of mathematics. The Unknowable is a very readable introduction to Chaitins ideas, and includes software (on the authors website) that will enable users to interact with the authors proofs. "Chaitins new book, The Unknowable, is a welcome addition to his oeuvre. In it he manages to bring his amazingly seminal insights to the attention of a much larger audience His work has deserved such treatment for a long time." JOHN ALLEN PAULOS, AUTHOR OF ONCE UPON A NUMBER

Author : Bozzano G Luisa
Publisher : Elsevier
Page : 1014 pages
File Size : 49,6 Mb
Release : 1990-09-12
Category : Computers
ISBN : 0444880712

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Algorithms and Complexity by Bozzano G Luisa Pdf

This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.

Author : Cristian S. Calude,Michael J. Dinneen,Vincent Vajnovszki
Publisher : Unknown
Page : 316 pages
File Size : 53,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662181339

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Discrete Mathematics and Theoretical Computer Science by Cristian S. Calude,Michael J. Dinneen,Vincent Vajnovszki Pdf

Author : Helmut Alt
Publisher : Springer
Page : 173 pages
File Size : 47,7 Mb
Release : 2003-06-30
Category : Computers
ISBN : 9783540455066

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Computational Discrete Mathematics by Helmut Alt Pdf

This book is based on a graduate education program on computational discrete mathematics run for several years in Berlin, Germany, as a joint effort of theoretical computer scientists and mathematicians in order to support doctoral students and advanced ongoing education in the field of discrete mathematics and algorithmics. The 12 selected lectures by leading researchers presented in this book provide recent research results and advanced topics in a coherent and consolidated way. Among the areas covered are combinatorics, graph theory, coding theory, discrete and computational geometry, optimization, and algorithmic aspects of algebra.

Author : Joseph G. Rosenstein
Publisher : American Mathematical Soc.
Page : 489 pages
File Size : 48,8 Mb
Release : 1997
Category : Mathematics
ISBN : 9780821811375

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Discrete Mathematics in the Schools by Joseph G. Rosenstein Pdf

A collection of articles written by experienced primary, secondary, and collegiate educators. It explains why discrete mathematics should be taught in K-12 classrooms and offers guidance on how to do so. It offers school and district curriculum leaders material that addresses how discrete mathematics can be introduced into their curricula.

Author : C.S. Calude,M.J. Dinneen,S. Sburlan
Publisher : Springer Science & Business Media
Page : 254 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447107170

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Combinatorics, Computability and Logic by C.S. Calude,M.J. Dinneen,S. Sburlan Pdf

This volume contains the papers presented at the Third Discrete Mathematics and Theoretical Computer Science Conference (DMTCS1), which was held at 'Ovidius'University Constantza, Romania in July 2001. The conference was open to all areas of discrete mathematics and theoretical computer science, and the papers contained within this volume cover topics such as: abstract data types and specifications; algorithms and data structures; automata and formal languages; computability, complexity and constructive mathematics; discrete mathematics, combinatorial computing and category theory; logic, nonmonotonic logic and hybrid systems; molecular computing.

Author : Eric Lehman,F. Thomson Leighton,Albert R. Meyer
Publisher : Unknown
Page : 988 pages
File Size : 47,9 Mb
Release : 2017-03-08
Category : Business & Economics
ISBN : 9888407066

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Mathematics for Computer Science by Eric Lehman,F. Thomson Leighton,Albert R. Meyer Pdf

This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.