Mathematical Foundations Of Computer Science 2015

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Mathematical Foundations of Computer Science 2015

Author : Giuseppe F. Italiano
Publisher : Springer
ISBN 13 : 3662480549
Total Pages : 633 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Mathematical Foundations of Computer Science 2015 by : Giuseppe F. Italiano

Download or read book Mathematical Foundations of Computer Science 2015 written by Giuseppe F. Italiano and published by Springer. This book was released on 2015-08-10 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set LNCS 9234 and 9235 constitutes the refereed conference proceedings of the 40th International Symposium on Mathematical Foundations of Computer Science, MFCS 2015, held in Milan, Italy, in August 2015. The 82 revised full papers presented together with 5 invited talks were carefully selected from 201 submissions. The papers feature high-quality research in all branches of theoretical computer science. They have been organized in the following topical main sections: logic, semantics, automata, and theory of programming (volume 1) and algorithms, complexity, and games (volume 2).

Foundation Mathematics for Computer Science

Author : John Vince
Publisher : Springer
ISBN 13 : 3319214373
Total Pages : 341 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Foundation Mathematics for Computer Science by : John Vince

Download or read book Foundation Mathematics for Computer Science written by John Vince and published by Springer. This book was released on 2015-07-27 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.

Mathematical Foundations of Computer Science

Author : Peter A. Fejer
Publisher : Springer Science & Business Media
ISBN 13 : 1461230861
Total Pages : 433 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Foundations of Computer Science by : Peter A. Fejer

Download or read book Mathematical Foundations of Computer Science written by Peter A. Fejer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations of Computer Science, Volume I is the first of two volumes presenting topics from mathematics (mostly discrete mathematics) which have proven relevant and useful to computer science. This volume treats basic topics, mostly of a set-theoretical nature (sets, functions and relations, partially ordered sets, induction, enumerability, and diagonalization) and illustrates the usefulness of mathematical ideas by presenting applications to computer science. Readers will find useful applications in algorithms, databases, semantics of programming languages, formal languages, theory of computation, and program verification. The material is treated in a straightforward, systematic, and rigorous manner. The volume is organized by mathematical area, making the material easily accessible to the upper-undergraduate students in mathematics as well as in computer science and each chapter contains a large number of exercises. The volume can be used as a textbook, but it will also be useful to researchers and professionals who want a thorough presentation of the mathematical tools they need in a single source. In addition, the book can be used effectively as supplementary reading material in computer science courses, particularly those courses which involve the semantics of programming languages, formal languages and automata, and logic programming.

Mathematics for Computer Science

Author : Eric Lehman
Publisher :
ISBN 13 : 9789888407064
Total Pages : 988 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Mathematics for Computer Science by : Eric Lehman

Download or read book Mathematics for Computer Science written by Eric Lehman and published by . This book was released on 2017-03-08 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Foundations of Computer Science

Author : G. Shanker Rao
Publisher : I. K. International Pvt Ltd
ISBN 13 : 8188237493
Total Pages : 450 pages
Book Rating : 4.1/5 (882 download)

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Book Synopsis Mathematical Foundations of Computer Science by : G. Shanker Rao

Download or read book Mathematical Foundations of Computer Science written by G. Shanker Rao and published by I. K. International Pvt Ltd. This book was released on 2006 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations of Computer Science explains the fundamental concepts in mathematics. It can be used by the students in computer science as an introduction to the underlying ideas of mathematics for computer science. It explains topics like mathematical logic, predicates, relations, functions, combinatorics, algebraic structures and graph theory. It would be useful for the students of B.Tech, BCA, & MCA. Key Features: " Comprehensive discussion on logic, function, algebraic systems, recurrence relations and graph theory " Wide variety of exercises at all levels " Several worked out examples

Concrete Mathematics

Author : Ronald L. Graham
Publisher : Addison-Wesley Professional
ISBN 13 : 0134389980
Total Pages : 811 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Concrete Mathematics by : Ronald L. Graham

Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

Dependence Logic

Author : Samson Abramsky
Publisher : Birkhäuser
ISBN 13 : 3319318039
Total Pages : 286 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Dependence Logic by : Samson Abramsky

Download or read book Dependence Logic written by Samson Abramsky and published by Birkhäuser. This book was released on 2016-06-29 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, different aspects of logics for dependence and independence are discussed, including both the logical and computational aspects of dependence logic, and also applications in a number of areas, such as statistics, social choice theory, databases, and computer security. The contributing authors represent leading experts in this relatively new field, each of whom was invited to write a chapter based on talks given at seminars held at the Schloss Dagstuhl Leibniz Center for Informatics in Wadern, Germany (in February 2013 and June 2015) and an Academy Colloquium at the Royal Netherlands Academy of Arts and Sciences (March 2014). Altogether, these chapters provide the most up-to-date look at this developing and highly interdisciplinary field and will be of interest to a broad group of logicians, mathematicians, statisticians, philosophers, and scientists. Topics covered include a comprehensive survey of many propositional, modal, and first-order variants of dependence logic; new results concerning expressive power of several variants of dependence logic with different sets of logical connectives and generalized dependence atoms; connections between inclusion logic and the least-fixed point logic; an overview of dependencies in databases by addressing the relationships between implication problems for fragments of statistical conditional independencies, embedded multivalued dependencies, and propositional logic; various Markovian models used to characterize dependencies and causality among variables in multivariate systems; applications of dependence logic in social choice theory; and an introduction to the theory of secret sharing, pointing out connections to dependence and independence logic.

Mathematical Foundation of Computer Science

Author : Y. N. Singh
Publisher : New Age International
ISBN 13 : 8122416675
Total Pages : 24 pages
Book Rating : 4.1/5 (224 download)

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Book Synopsis Mathematical Foundation of Computer Science by : Y. N. Singh

Download or read book Mathematical Foundation of Computer Science written by Y. N. Singh and published by New Age International. This book was released on 2005 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Interesting Feature Of This Book Is Its Organization And Structure. That Consists Of Systematizing Of The Definitions, Methods, And Results That Something Resembling A Theory. Simplicity, Clarity, And Precision Of Mathematical Language Makes Theoretical Topics More Appealing To The Readers Who Are Of Mathematical Or Non-Mathematical Background. For Quick References And Immediate Attentions3⁄4Concepts And Definitions, Methods And Theorems, And Key Notes Are Presented Through Highlighted Points From Beginning To End. Whenever, Necessary And Probable A Visual Approach Of Presentation Is Used. The Amalgamation Of Text And Figures Make Mathematical Rigors Easier To Understand. Each Chapter Begins With The Detailed Contents, Which Are Discussed Inside The Chapter And Conclude With A Summary Of The Material Covered In The Chapter. Summary Provides A Brief Overview Of All The Topics Covered In The Chapter. To Demonstrate The Principles Better, The Applicability Of The Concepts Discussed In Each Topic Are Illustrated By Several Examples Followed By The Practice Sets Or Exercises.

MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE, Second Edition

Author : BATHUL, SHAHNAZ
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120351290
Total Pages : 481 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE, Second Edition by : BATHUL, SHAHNAZ

Download or read book MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE, Second Edition written by BATHUL, SHAHNAZ and published by PHI Learning Pvt. Ltd.. This book was released on 2015-10-31 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, in its Second Edition, provides the basic concepts and applications of discrete mathematics and graph theory. The book is aimed at undergraduate students of computer science and engineering, and information technology. It is also suitable for undergraduate and postgraduate students of computer science, mathematics and computer applications. The book exposes the students to fundamental knowledge in: - Mathematical logic, tautology and normal forms - Elementary set theory, functions and their relations - Algebraic structure, binary operation, group theory and homomorphism - Theory of permutations and combinations, binomial and multinomial theorems - Recurrence relations and methods of solving them - Graph theory, spanning tree, Eulerian and Hamiltonian circuits and isomorphism Key Features Includes a large number of worked-out problems for sound understanding of the concepts. Offers chapter-end exercises to test students’ comprehension of theory. Gives a quiz section at the end of each chapter to help students prepare for the competitive examinations. Incorporates short questions asked in universities’ examinations.

Discrete Mathematics and Computing

Author : Malik Magdon-Ismail
Publisher :
ISBN 13 : 9780578567877
Total Pages : pages
Book Rating : 4.5/5 (678 download)

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Book Synopsis Discrete Mathematics and Computing by : Malik Magdon-Ismail

Download or read book Discrete Mathematics and Computing written by Malik Magdon-Ismail and published by . This book was released on 2019-12-14 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a semester course in the basic mathematical and theoretical foundations of computer science. Students who make heavy use of computing should learn these foundations well, setting a base for a follow-on course in algorithms. A solid theoretical and algorithmic foundation in computer science sets the stage for developing good programs, programs that work, always and efficiently.Each chapter is a lecture that has been taught as such. Part I starts with basic logic, proofs and discrete mathematics, including: induction, recursion, summation, asymptotics and number theory. We then continue with graphs, counting and combinatorics, and wrap up the coverage of discrete mathematics with discrete probability. Part II presents the blockbuster application of discrete mathematics: the digital computer and a theory of computing. The goal is to understand what a computer can and cannot do. We start small, with automata, and end big with Turing Machines.Our approach is Socratic. The reader is encouraged to participate actively in the learning process by doing the quizzes and exercises that are liberally sprinkled through the text. The pace and level is appropriate for readers with one year of training in programming and calculus (college sophomores).

On the Foundations of Computing

Author : Giuseppe Primiero
Publisher :
ISBN 13 : 0198835647
Total Pages : 317 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis On the Foundations of Computing by : Giuseppe Primiero

Download or read book On the Foundations of Computing written by Giuseppe Primiero and published by . This book was released on 2020 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: "On The Foundations of Computing is a technical, historical and conceptual investigation in the three main methodological approaches to the computational sciences: mathematical, engineering and experimental. The first part of the volume explores the background behind the formal understanding of computing, originating at the end of the XIX century, and it invesitagtes the formal origins and conceptual development of the notions of computation, algorithm and program. The second part of the volume overviews the construction of physical devices to perform automated tasks and it considers associated technical and conceptual issues. We start from the design and construction of the first generation of computing machines, explore their evolution and progress in engineering (for both hardware and software), and investigate their theoretical and conceptual problems. The third part of the volume analyses the methods and principles of experimental sciences founded on computational methods. We study the use of machines to perform scientific tasks, with particular reference to computer models and simulations. Each part aims at defining a notion of computational validity according to the corresponding methodological approach"--

Computing and Combinatorics

Author : Donghyun Kim
Publisher : Springer Nature
ISBN 13 : 3030581500
Total Pages : 691 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Computing and Combinatorics by : Donghyun Kim

Download or read book Computing and Combinatorics written by Donghyun Kim and published by Springer Nature. This book was released on 2020-08-27 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 26th International Conference on Computing and Combinatorics, COCOON 2020, held in Atlanta, GA, USA, in August 2020. Due to the COVID-19 pandemic COCOON 2020 was organized as a fully online conference. The 54 papers presented in this volume were carefully reviewed and selected from 126 submissions. The papers cover various topics, including algorithm design, approximation algorithm, graph theory, complexity theory, problem solving, optimization, computational biology, computational learning, communication network, logic, and game theory.

Logic for Computer Science

Author : Jean H. Gallier
Publisher : Courier Dover Publications
ISBN 13 : 0486780821
Total Pages : 532 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Logic for Computer Science by : Jean H. Gallier

Download or read book Logic for Computer Science written by Jean H. Gallier and published by Courier Dover Publications. This book was released on 2015-06-18 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.

Foundations of Software Science and Computation Structures

Author : Orna Kupferman
Publisher : Springer Nature
ISBN 13 : 3031308298
Total Pages : 575 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Foundations of Software Science and Computation Structures by : Orna Kupferman

Download or read book Foundations of Software Science and Computation Structures written by Orna Kupferman and published by Springer Nature. This book was released on 2023-04-20 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book constitutes the proceedings of the 26th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2023, which was held during April 22-27, 2023, in Paris, France, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2023. The 26 regular papers presented in this volume were carefully reviewed and selected from 85 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems.

Parity games, separations, and the modal μ-calculus

Author : Dittmann, Christoph
Publisher : Universitätsverlag der TU Berlin
ISBN 13 : 3798328870
Total Pages : 295 pages
Book Rating : 4.7/5 (983 download)

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Book Synopsis Parity games, separations, and the modal μ-calculus by : Dittmann, Christoph

Download or read book Parity games, separations, and the modal μ-calculus written by Dittmann, Christoph and published by Universitätsverlag der TU Berlin. This book was released on 2017-03-08 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics of this thesis are the modal μ-calculus and parity games. The modal μ-calculus is a common logic for model-checking in computer science. The model-checking problem of the modal μ-calculus is polynomial time equivalent to solving parity games, a 2-player game on labeled directed graphs. We present the first FPT algorithms (fixed-parameter tractable) for the model-checking problem of the modal μ-calculus on restricted classes of graphs, specifically on classes of bounded Kelly-width or bounded DAG-width. In this process we also prove a general decomposition theorem for the modal μ-calculus and define a useful notion of type for this logic. Then, assuming a class of parity games has a polynomial time algorithm solving it, we consider the problem of extending this algorithm to larger classes of parity games. In particular, we show that joining games, pasting games, or adding single vertices preserves polynomial-time solvability. It follows that parity games can be solved in polynomial time if their underlying undirected graph is a tournament, a complete bipartite graph, or a block graph. In the last chapter we present the first non-trivial formal proof about parity games. We explain a formal proof of positional determinacy of parity games in the proof assistant Isabelle/HOL. Die Themen dieser Dissertation sind der modale μ-Kalkül und Paritätsspiele. Der modale μ-Kalkül ist eine häufig eingesetzte Logik im Bereich des Model-Checkings in der Informatik. Das Model-Checking-Problem des modalen μ-Kalküls ist polynomialzeitäquivalent zum Lösen von Paritätsspielen, einem 2-Spielerspiel auf beschrifteten, gerichteten Graphen. Wir präsentieren die ersten FPT-Algorithmen (fixed-parameter tractable) für das Model-Checking-Problem des modalen μ-Kalküls auf Klassen von Graphen mit beschränkter Kelly-Weite oder beschränkter DAG-Weite. Für diesen Zweck beweisen wir einen allgemeineren Zerlegungssatz für den modalen μ-Kalkül und stellen eine nützliche Definition von Typen für diese Logik vor. Angenommen, eine Klasse von Paritätsspielen hat einen Polynomialzeit-Lösungs-Algorithmus, betrachten wir danach das Problem, diese Klassen zu erweitern auf eine Weise, sodass Polynomialzeit-Lösbarkeit erhalten bleibt. Wir zeigen, dass dies beim Join von Paritätsspielen, beim Pasting und beim Hinzufügen einzelner Knoten der Fall ist. Wir folgern daraus, dass das Lösen von Paritätsspielen in Polynomialzeit möglich ist, falls der unterliegende ungerichtete Graph ein Tournament, ein vollständiger bipartiter Graph oder ein Blockgraph ist. Im letzten Kapitel präsentieren wir den ersten nicht-trivialen formalen Beweis über Paritätsspiele. Wir stellen einen formalen Beweis für die positionale Determiniertheit von Paritätsspielen im Beweis-Assistenten Isabelle/HOL vor.

Foundations of Software Science and Computation Structures

Author : Stefan Kiefer
Publisher : Springer Nature
ISBN 13 : 3030719952
Total Pages : 574 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Foundations of Software Science and Computation Structures by : Stefan Kiefer

Download or read book Foundations of Software Science and Computation Structures written by Stefan Kiefer and published by Springer Nature. This book was released on 2021-03-22 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book constitutes the proceedings of the 24th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2021, which was held during March 27 until April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic. The 28 regular papers presented in this volume were carefully reviewed and selected from 88 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems.

Computer Science – Theory and Applications

Author : Pascal Weil
Publisher : Springer
ISBN 13 : 3319587471
Total Pages : 347 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Computer Science – Theory and Applications by : Pascal Weil

Download or read book Computer Science – Theory and Applications written by Pascal Weil and published by Springer. This book was released on 2017-05-03 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 12th International Computer Science Symposium in Russia, CSR 2017, held in Kazan, Russia, in June 2017. The 22 full papers presented in this volume were carefully reviewed and selected from 44 submissions. In addition the book contains 6 invited lectures. The scope of the proposed topics is quite broad and covers a wide range of areas such as: include, but are not limited to: algorithms and data structures; combinatorial optimization; constraint solving; computational complexity; cryptography; combinatorics in computer science; formal languages and automata; algorithms for concurrent and distributed systems, networks; applications of logic to computer science, e.g. proof theory, model checking and verification; formal and algorithmic aspects of bio-informatics; current challenges such as quantum computing.