Introductory Logic And Sets For Computer Scientists
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Introductory Logic And Sets For Computer Scientists
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Author : Nimal Nissanke
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1999
Introductory Logic And Sets For Computer Scientists written by Nimal Nissanke and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
This text provides a practical, modern approach to teaching logic and set theory, equipping students with the necessary mathematical understanding and skills required for the mathematical specification of software. It covers all the areas of mathematics that are considered essential to computer science including logic, set theory, modern algebra (group theory), graph theory and combinatorics, whilst taking into account the diverse mathematical background of the students taking the course. In line with current undergraduate curricula this book uses logic extensively, together with set theory, in mathematical specification of software. Languages such as Z and VDM are used for this purpose. Features Particular emphasis is placed on the application of logic in the fields of software engineering, artificial intelligence and natural language processing 0201179571B04062001
Handbook Of Logic And Proof Techniques For Computer Science
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Author : Steven G. Krantz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Handbook Of Logic And Proof Techniques For Computer Science written by Steven G. Krantz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Logic is, and should be, the core subject area of modern mathemat ics. The blueprint for twentieth century mathematical thought, thanks to Hilbert and Bourbaki, is the axiomatic development of the subject. As a result, logic plays a central conceptual role. At the same time, mathematical logic has grown into one of the most recondite areas of mathematics. Most of modern logic is inaccessible to all but the special ist. Yet there is a need for many mathematical scientists-not just those engaged in mathematical research-to become conversant with the key ideas of logic. The Handbook of Mathematical Logic, edited by Jon Bar wise, is in point of fact a handbook written by logicians for other mathe maticians. It was, at the time of its writing, encyclopedic, authoritative, and up-to-the-moment. But it was, and remains, a comprehensive and authoritative book for the cognoscenti. The encyclopedic Handbook of Logic in Computer Science by Abramsky, Gabbay, and Maibaum is a wonderful resource for the professional. But it is overwhelming for the casual user. There is need for a book that introduces important logic terminology and concepts to the working mathematical scientist who has only a passing acquaintance with logic. Thus the present work has a different target audience. The intent of this handbook is to present the elements of modern logic, including many current topics, to the reader having only basic mathe matical literacy.
Mathematics For Computer Scientists
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Author : Peter Hartmann
language : en
Publisher: Springer Nature
Release Date : 2023-08-30
Mathematics For Computer Scientists written by Peter Hartmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-30 with Computers categories.
This textbook contains the mathematics needed to study computer science in application-oriented computer science courses. The content is based on the author's many years of teaching experience. The translation of the original German 7th edition Mathematik für Informatiker by Peter Hartmann was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content. Textbook Features You will always find applications to computer science in this book. Not only will you learn mathematical methods, you will gain insights into the ways of mathematical thinking to form a foundation for understanding computer science. Proofs are given when they help you learn something, not for the sake of proving. Mathematics is initially a necessary evil for many students. The author explains in each lesson how students can apply what they have learned by giving many real world examples, and by constantly cross-referencing math and computer science. Students will see how math is not only useful, but can be interesting and sometimes fun. The Content Sets, logic, number theory, algebraic structures, cryptography, vector spaces, matrices, linear equations and mappings, eigenvalues, graph theory. Sequences and series, continuous functions, differential and integral calculus, differential equations, numerics. Probability theory and statistics. The Target Audiences Students in all computer science-related coursework, and independent learners.
A Practical Introduction To Computer Architecture
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Author : Daniel Page
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-21
A Practical Introduction To Computer Architecture written by Daniel Page and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-21 with Computers categories.
It is a great pleasure to write a preface to this book. In my view, the content is unique in that it blends traditional teaching approaches with the use of mathematics and a mainstream Hardware Design Language (HDL) as formalisms to describe key concepts. The book keeps the “machine” separate from the “application” by strictly following a bottom-up approach: it starts with transistors and logic gates and only introduces assembly language programs once their execution by a processor is clearly de ned. Using a HDL, Verilog in this case, rather than static circuit diagrams is a big deviation from traditional books on computer architecture. Static circuit diagrams cannot be explored in a hands-on way like the corresponding Verilog model can. In order to understand why I consider this shift so important, one must consider how computer architecture, a subject that has been studied for more than 50 years, has evolved. In the pioneering days computers were constructed by hand. An entire computer could (just about) be described by drawing a circuit diagram. Initially, such d- grams consisted mostly of analogue components before later moving toward d- ital logic gates. The advent of digital electronics led to more complex cells, such as half-adders, ip- ops, and decoders being recognised as useful building blocks.
Discrete Mathematics
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Author : Rowan Garnier
language : en
Publisher: Taylor & Francis
Release Date : 2009-11-09
Discrete Mathematics written by Rowan Garnier and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-09 with Computers categories.
Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow prog
Discrete Mathematics For New Technology Second Edition
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Author : Rowan Garnier
language : en
Publisher: CRC Press
Release Date : 2001-12-01
Discrete Mathematics For New Technology Second Edition written by Rowan Garnier and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-01 with Mathematics categories.
Updated and expanded, Discrete Mathematics for New Technology, Second Edition provides a sympathetic and accessible introduction to discrete mathematics, including the core mathematics requirements for undergraduate computer science students. The approach is comprehensive yet maintains an easy-to-follow progression from the basic mathematical ideas to the more sophisticated concepts examined in the latter stages of the book. Although the theory is presented rigorously, it is illustrated by the frequent use of pertinent examples and is further reinforced with exercises-some with hints and solutions-to enable the reader to achieve a comprehensive understanding of the subject at hand. New to the Second Edition Numerous new examples and exercises designed to illustrate and reinforce mathematical concepts and facilitate students' progression through the topics New sections on typed set theory and an introduction to formal specification Presenting material that is at the foundations of mathematics itself, Discrete Mathematics for New Technology is a readable, friendly textbook designed for non-mathematicians as well as for computing and mathematics undergraduates alike.
Logical Foundations Of Computer Science
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Author : Sergei Artemov
language : en
Publisher: Springer Nature
Release Date : 2021-12-16
Logical Foundations Of Computer Science written by Sergei Artemov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.
This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2022, held in Deerfield Beach, FL, USA, in January 2022. The 23 revised full papers were carefully reviewed and selected from 35 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; other logics in computer science.
Fundamental Discrete Structures
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Author : V. Ravichandran
language : en
Publisher: Springer Nature
Release Date : 2025-03-02
Fundamental Discrete Structures written by V. Ravichandran and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-02 with Mathematics categories.
This book serves as a core text in discrete mathematics. It discusses topics such as symbolic logic, enumerative combinatorics, algebraic structures, graph theory, and related applications to computer science and other allied subjects. The presentation of related concepts is suitable for sophomore, junior, and senior-level undergraduate students. Exercises provided at the end of each chapter are designed to help the reader have an active learning experience throughout the study.
Logic Mathematics And Computer Science
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Author : Yves Nievergelt
language : en
Publisher: Springer
Release Date : 2015-10-13
Logic Mathematics And Computer Science written by Yves Nievergelt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-13 with Mathematics categories.
This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © 2002 Birkhӓuser, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory. The focuses is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided. Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so unintuitive? Why are there no recipes to design proofs? Where do these numerous mathematical rules come from? What issues in logic, mathematics, and computer science still remain unresolved? And the perennial question: In what ways are we going to use this material? Additionally, the selection of topics presented reflects many major accomplishments from the twentieth century and includes applications in game theory and Nash's equilibrium, Gale and Shapley's match making algorithms, Arrow's Impossibility Theorem in voting, to name a few. From the reviews of the first edition: "...All the results are proved in full detail from first principles...remarkably, the arithmetic laws on the rational numbers are proved, step after step, starting from the very definitions!...This is a valuable reference text and a useful companion for anybody wondering how basic mathematical concepts can be rigorously developed within set theory." —MATHEMATICAL REVIEWS "Rigorous and modern in its theoretical aspect, attractive as a detective novel in its applied aspects, this paper book deserves the attention of both beginners and advanced students in mathematics, logic and computer sciences as well as in social sciences." —Zentralblatt MATH
The Elements Of Advanced Mathematics
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Author : Steven G. Krantz
language : en
Publisher: CRC Press
Release Date : 2022-06-20
The Elements Of Advanced Mathematics written by Steven G. Krantz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-20 with Mathematics categories.
This book has enjoyed considerable use and appreciation during its first four editions. With hundreds of students having learned out of early editions, the author continues to find ways to modernize and maintain a unique presentation. What sets the book apart is the excellent writing style, exposition, and unique and thorough sets of exercises. This edition offers a more instructive preface to assist instructors on developing the course they prefer. The prerequisites are more explicit and provide a roadmap for the course. Sample syllabi are included. As would be expected in a fifth edition, the overall content and structure of the book are sound. This new edition offers a more organized treatment of axiomatics. Throughout the book, there is a more careful and detailed treatment of the axioms of set theory. The rules of inference are more carefully elucidated. Additional new features include: An emphasis on the art of proof. Enhanced number theory chapter presents some easily accessible but still-unsolved problems. These include the Goldbach conjecture, the twin prime conjecture, and so forth. The discussion of equivalence relations is revised to present reflexivity, symmetry, and transitivity before we define equivalence relations. The discussion of the RSA cryptosystem in Chapter 8 is expanded. The author introduces groups much earlier. Coverage of group theory, formerly in Chapter 11, has been moved up; this is an incisive example of an axiomatic theory. Recognizing new ideas, the author has enhanced the overall presentation to create a fifth edition of this classic and widely-used textbook.