Download or read book A Basis for Theoretical Computer Science written by M.A. Arbib and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer science seeks to provide a scientific basis for the study of inform a tion processing, the solution of problems by algorithms, and the design and programming of computers. The last forty years have seen increasing sophistication in the science, in the microelectronics which has made machines of staggering complexity economically feasible, in the advances in programming methodology which allow immense programs to be designed with increasing speed and reduced error, and in the development of mathematical techniques to allow the rigorous specification of program, process, and machine. The present volume is one of a series, The AKM Series in Theoretical Computer Science, designed to make key mathe matical developments in computer science readily accessible to under graduate and beginning graduate students. Specifically, this volume takes readers with little or no mathematical background beyond high school algebra, and gives them a taste of a number of topics in theoretical computer science while laying the mathematical foundation for the later, more detailed, study of such topics as formal language theory, computability theory, programming language semantics, and the study of program verification and correctness. Chapter 1 introduces the basic concepts of set theory, with special emphasis on functions and relations, using a simple algorithm to provide motivation. Chapter 2 presents the notion of inductive proof and gives the reader a good grasp on one of the most important notions of computer science: the recursive definition of functions and data structures.

Download or read book Theoretical and Mathematical Foundations of Computer Science written by Qihai Zhou and published by Springer Science & Business Media. This book was released on 2011-11-07 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post-proceedings of the Second International Conference on Theoretical and Mathematical Foundations of Computer Science, ICTMF 2011, held in Singapore in May 2011. The conference was held together with the Second International Conference on High Performance Networking, Computing, and Communication systems, ICHCC 2011, which proceedings are published in CCIS 163. The 84 revised selected papers presented were carefully reviewed and selected for inclusion in the book. The topics covered range from computational science, engineering and technology to digital signal processing, and computational biology to game theory, and other related topices.

Download or read book Introduction to the Theory of Computation written by Michael Sipser and published by Cengage Learning. This book was released on 2012-06-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now you can clearly present even the most complex computational theory topics to your students with Sipser’s distinct, market-leading INTRODUCTION TO THE THEORY OF COMPUTATION, 3E. The number one choice for today’s computational theory course, this highly anticipated revision retains the unmatched clarity and thorough coverage that make it a leading text for upper-level undergraduate and introductory graduate students. This edition continues author Michael Sipser’s well-known, approachable style with timely revisions, additional exercises, and more memorable examples in key areas. A new first-of-its-kind theoretical treatment of deterministic context-free languages is ideal for a better understanding of parsing and LR(k) grammars. This edition’s refined presentation ensures a trusted accuracy and clarity that make the challenging study of computational theory accessible and intuitive to students while maintaining the subject’s rigor and formalism. Readers gain a solid understanding of the fundamental mathematical properties of computer hardware, software, and applications with a blend of practical and philosophical coverage and mathematical treatments, including advanced theorems and proofs. INTRODUCTION TO THE THEORY OF COMPUTATION, 3E’s comprehensive coverage makes this an ideal ongoing reference tool for those studying theoretical computing. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Download or read book Theoretical Foundations of Computer Vision written by Walter Kropatsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Vision is a rapidly growing field of research investigating computational and algorithmic issues associated with image acquisition, processing, and understanding. It serves tasks like manipulation, recognition, mobility, and communication in diverse application areas such as manufacturing, robotics, medicine, security and virtual reality. This volume contains a selection of papers devoted to theoretical foundations of computer vision covering a broad range of fields, e.g. motion analysis, discrete geometry, computational aspects of vision processes, models, morphology, invariance, image compression, 3D reconstruction of shape. Several issues have been identified to be of essential interest to the community: non-linear operators; the transition between continuous to discrete representations; a new calculus of non-orthogonal partially dependent systems.

Download or read book Basic Category Theory for Computer Scientists written by Benjamin C. Pierce and published by MIT Press. This book was released on 1991-08-07 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading

Download or read book Funding a Revolution written by National Research Council and published by National Academies Press. This book was released on 1999-02-11 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past 50 years have witnessed a revolution in computing and related communications technologies. The contributions of industry and university researchers to this revolution are manifest; less widely recognized is the major role the federal government played in launching the computing revolution and sustaining its momentum. Funding a Revolution examines the history of computing since World War II to elucidate the federal government's role in funding computing research, supporting the education of computer scientists and engineers, and equipping university research labs. It reviews the economic rationale for government support of research, characterizes federal support for computing research, and summarizes key historical advances in which government-sponsored research played an important role. Funding a Revolution contains a series of case studies in relational databases, the Internet, theoretical computer science, artificial intelligence, and virtual reality that demonstrate the complex interactions among government, universities, and industry that have driven the field. It offers a series of lessons that identify factors contributing to the success of the nation's computing enterprise and the government's role within it.

Download or read book The Foundations of Computability Theory written by Borut Robič and published by Springer. This book was released on 2015-09-14 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and formalism; in Part II he explains classical computability theory, with chapters on the quest for formalization, the Turing Machine, and early successes such as defining incomputable problems, c.e. (computably enumerable) sets, and developing methods for proving incomputability; in Part III he explains relative computability, with chapters on computation with external help, degrees of unsolvability, the Turing hierarchy of unsolvability, the class of degrees of unsolvability, c.e. degrees and the priority method, and the arithmetical hierarchy. This is a gentle introduction from the origins of computability theory up to current research, and it will be of value as a textbook and guide for advanced undergraduate and graduate students and researchers in the domains of computability theory and theoretical computer science.

Download or read book On the Theoretical Foundations of Computer Science An Introductory Essay written by Gabriel Kabanda and published by . This book was released on 2019-06-14 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essay from the year 2019 in the subject Computer Science - Theory, grade: 4.00, Atlantic International University, language: English, abstract: The paper presents an analytical exposition, critical context and integrative conclusion on the discussion on the meaning, significance and potential applications of theoretical foundations of computer science with respect to Algorithms Design and Analysis, Complexity Theory, Turing Machines, Finite Automata, Cryptography and Machine Learning. An algorithm is any well-defined computational procedure that takes some value or sets of values as input and produces some values or sets of values as output. A Turing machine consists of a finite program, called the finite control, capable of manipulating a linear list of cells, called the tape, using one access pointer, called the head. Cellular automata is an array of finite state machines (inter-related). A universal Turing machine U is a Turing machine that can imitate the behavior of any other Turing machine T. Automata are a particularly simple, but useful, model of computation which were were initially proposed as a simple model for the behavior of neurons. A model of computation is a mathematical abstraction of computers which is used by computer scientists to perform a rigorous study of computation. An automaton with a finite number of states is called a Finite Automaton (FA) or Finite State Machine (FSM). The Church-Turing Thesis states that the Turing machine is equivalent in computational ability to any general mathematical device for computation, including digital computers. The important themes in Theoretical Computer Science (TCS) are efficiency, impossibility results, approximation, central role of randomness, and reductions (NP-completeness and other intractability results).

Download or read book Programming and Problem Solving with C written by Nell B. Dale and published by Jones & Bartlett Publishers. This book was released on 2014 with total page 1094 pages. Available in PDF, EPUB and Kindle. Book excerpt: The best-selling Programming and Problem Solving with C++, now in it's Sixth Edition, remains the clearest introduction to C++, object-oriented programming, and software development available. Renowned author team Nell Dale and Chip Weems are careful to include all topics and guidelines put forth by the ACM/IEEE to make this text ideal for the one- or two-term CS1 course. Their philosophy centers on making the difficult concepts of computer science programming accessible to all students, while maintaining the breadth of detail and topics covered. Key Features: -The coverage of advanced object-oriented design and data structures has been moved to later in the text. -Provides the highly successful concise and student-friendly writing style that is a trademark for the Dale/Weems textbook series in computer science. -Introduces C++ language constructs in parallel with the appropriate theory so students see and understand its practical application. -Strong pedagogical elements, a hallmark feature of Dale/Weems' successful hands-on teaching approach, include Software Maintenance case studies, Problem-Solving case studies, Testing & Debugging exercises, Exam Preparation exercises, Programming Warm-up exercises, Programming Problems, Demonstration Projects, and Quick Check exercises. -A complete package of student and instructor resources include a student companion website containing all the source code for the programs and exercises in the text, additional appendices with C++ reference material and further discussion of topics from the text, and a complete digital lab manual in C++. Instructors are provided all the solutions to the exercises in the text, the source code, a Test Bank, and PowerPoint Lecture Outlines organized by chapter.

Download or read book Introduction to the Theory of Computation written by Michael Sipser and published by Thomson/Course Technology. This book was released on 2006 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Intended as an upper-level undergraduate or introductory graduate text in computer science theory," this book lucidly covers the key concepts and theorems of the theory of computation. The presentation is remarkably clear; for example, the "proof idea," which offers the reader an intuitive feel for how the proof was constructed, accompanies many of the theorems and a proof. Introduction to the Theory of Computation covers the usual topics for this type of text plus it features a solid section on complexity theory--including an entire chapter on space complexity. The final chapter introduces more advanced topics, such as the discussion of complexity classes associated with probabilistic algorithms.

Download or read book Foundations of Computing written by Thierry Scheurer and published by Addison-Wesley Longman. This book was released on 1994 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for professionals learning the field of discrete mathematics, this book provides the necessary foundations of computer science without requiring excessive mathematical prerequisites. Using a balanced approach of theory and examples, software engineers will find it a refreshing treatment of applications in programming.

Download or read book Programming and Problem Solving with C written by Nell Dale and published by Jones & Bartlett Learning. This book was released on 2010-10-22 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: Programming/Languages

Download or read book What Can Be Computed written by John MacCormick and published by Princeton University Press. This book was released on 2018-05-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and rigorous textbook for introducing undergraduates to computer science theory What Can Be Computed? is a uniquely accessible yet rigorous introduction to the most profound ideas at the heart of computer science. Crafted specifically for undergraduates who are studying the subject for the first time, and requiring minimal prerequisites, the book focuses on the essential fundamentals of computer science theory and features a practical approach that uses real computer programs (Python and Java) and encourages active experimentation. It is also ideal for self-study and reference. The book covers the standard topics in the theory of computation, including Turing machines and finite automata, universal computation, nondeterminism, Turing and Karp reductions, undecidability, time-complexity classes such as P and NP, and NP-completeness, including the Cook-Levin Theorem. But the book also provides a broader view of computer science and its historical development, with discussions of Turing's original 1936 computing machines, the connections between undecidability and Gödel's incompleteness theorem, and Karp's famous set of twenty-one NP-complete problems. Throughout, the book recasts traditional computer science concepts by considering how computer programs are used to solve real problems. Standard theorems are stated and proven with full mathematical rigor, but motivation and understanding are enhanced by considering concrete implementations. The book's examples and other content allow readers to view demonstrations of—and to experiment with—a wide selection of the topics it covers. The result is an ideal text for an introduction to the theory of computation. An accessible and rigorous introduction to the essential fundamentals of computer science theory, written specifically for undergraduates taking introduction to the theory of computation Features a practical, interactive approach using real computer programs (Python in the text, with forthcoming Java alternatives online) to enhance motivation and understanding Gives equal emphasis to computability and complexity Includes special topics that demonstrate the profound nature of key ideas in the theory of computation Lecture slides and Python programs are available at whatcanbecomputed.com

Download or read book Theory of Computation written by Dexter C. Kozen and published by Springer Science & Business Media. This book was released on 2006-09-19 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is uniquely written with dual purpose. It cover cores material in the foundations of computing for graduate students in computer science and also provides an introduction to some more advanced topics for those intending further study in the area. This innovative text focuses primarily on computational complexity theory: the classification of computational problems in terms of their inherent complexity. The book contains an invaluable collection of lectures for first-year graduates on the theory of computation. Topics and features include more than 40 lectures for first year graduate students, and a dozen homework sets and exercises.

Download or read book Satisfiability Problem Theory and Applications written by Dingzhu Du and published by American Mathematical Soc.. This book was released on 1997 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: The satisfiability (SAT) problem is central in mathematical logic, computing theory, and many industrial applications. There has been a strong relationship between the theory, the algorithms and the applications of the SAT problem. This book aims to bring together work by the best theorists, algorithmists, and practitioners working on the sat problem and on industrial applications, as well as to enhance the interaction between the three research groups. The book features the applications of theoretical/algorithmic results to practical problems and presents practical examples for theoretical/algorithmic study. Major topics covered in the book include practical and industial SAT problems and benchmarks, significant case studies and applications of the SAT problem and SAT algorithms, new algorithms and improved techniques for satisfiability testing, specific data structures and implementation details of the SAT algorithms, and the theoretical study of the SAT problem and SAT algorithms.

Download or read book Programming and Problem Solving with ADA 95 written by Nell B. Dale and published by Jones & Bartlett Learning. This book was released on 2000 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: Programming and Problem Solving with Ada 95 provides a solid introduction to programming while introducing the capabilities of Ada 95 and its syntax without overwhelming the student. The book focuses on the development of good programming habits. This text offers superior pedagogy that has long defined computer science education, including problem solving case studies, testing and debugging sections, quick checks, exam preparation, programming warm-up exercises, and programming problems. The extensive coverage of material in such a student-friendly resource means that more rigor, more theory, greater use of abstraction and modeling, and the earlier application of software engineering principles can be employed.

Download or read book Foundations of Software Technology and Theoretical Computer Science written by P.S. Thiagarajan and published by Springer Science & Business Media. This book was released on 1994-11-23 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the 14th International Conference on the Foundations of Software Technology and Theoretical Computer Science, FST&TCS-14, held in Madras, India in December 1994. Besides the five invited papers by well-known researchers, it includes 31 full refereed research papers selected out of a total of 140 submissions. The papers contribute to the whole area of theoretical computer science with an emphasis on algorithms and complexity. Other topics covered are program semantics, program verification, formal logic, computational geometry, concurrency, unification, and discrete mathematics.