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Sets Logic And Maths For Computing


Sets Logic And Maths For Computing
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Sets Logic And Maths For Computing


Sets Logic And Maths For Computing
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Author : David Makinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-29

Sets Logic And Maths For Computing written by David Makinson 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 2009-06-29 with Computers categories.


The first part of this preface is for the student; the second for the instructor. But whoever you are, welcome to both parts. For the Student You have finished secondary school, and are about to begin at a university or technical college. You want to study computing. The course includes some mathematics { and that was not necessarily your favourite subject. But there is no escape: some finite mathematics is a required part of the first year curriculum. That is where this book comes in. Its purpose is to provide the basics { the essentials that you need to know to understand the mathematical language that is used in computer and information science. It does not contain all the mathematics that you will need to look at through the several years of your undergraduate career. There are other very good, massive volumes that do that. At some stage you will probably find it useful to get one and keep it on your shelf for reference. But experience has convinced this author that no matter how good the compendia are, beginning students tend to feel intimidated, lost, and unclear about what parts to focus on. This short book, on the other hand, offers just the basics which you need to know from the beginning, and on which you can build further when needed.



Which Degree


Which Degree
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Author :
language : en
Publisher:
Release Date : 1991

Which Degree written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Universities and colleges categories.




Set Theory For Computing


Set Theory For Computing
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Author : Domenico Cantone
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-26

Set Theory For Computing written by Domenico Cantone 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 2001-06-26 with Computers categories.


Set Theory for Computing offers an up-to-date and comprehensive account of set-oriented symbolic manipulation and automated reasoning methods. Mastering today's variety of systems with crisp, formal tools is a prerequisite for a high degree of control over sets and aggregates. The many algorithmic methods and deductive techniques in this book offer readers a clear view of the use of set-theoretic notions in such critical areas as specification of problems, data types, and solution methods; algorithmic program verification; and automated deduction. The rigorous and largely self-contained style of presentation addresses readers wanting to complement their set intuition with the ability to exploit it in specification and verification and master it by symbolic, logically based techniques and methods. This book will be of interest to graduates and researchers in theoretical computer science and computational logic and automated reasoning.



Logic Mathematics And Computer Science


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



Mathematical Logic For Computer Science 2nd Edition


Mathematical Logic For Computer Science 2nd Edition
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Author : Zhongwan Lu
language : en
Publisher: World Scientific
Release Date : 1998-08-22

Mathematical Logic For Computer Science 2nd Edition written by Zhongwan Lu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-22 with Mathematics categories.


Mathematical logic is essentially related to computer science. This book describes the aspects of mathematical logic that are closely related to each other, including classical logic, constructive logic, and modal logic. This book is intended to attend to both the peculiarities of logical systems and the requirements of computer science.In this edition, the revisions essentially involve rewriting the proofs, increasing the explanations, and adopting new terms and notations.



Foundations Of Computing


Foundations Of Computing
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Author : Thierry Scheurer
language : en
Publisher: Addison-Wesley Longman
Release Date : 1994

Foundations Of Computing written by Thierry Scheurer and has been published by Addison-Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.


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.



Concise Introduction To Logic And Set Theory


Concise Introduction To Logic And Set Theory
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Author : Iqbal H. Jebril
language : en
Publisher: CRC Press
Release Date : 2021-09-30

Concise Introduction To Logic And Set Theory written by Iqbal H. Jebril and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-30 with Mathematics categories.


This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics. The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and exercises, and provides reasonable details to each topic discussed, for easy understanding. The book is designed for readers from various disciplines where mathematical logic and set theory play a crucial role. The book will be of interested to students and instructors in engineering, mathematics, computer science, and technology.



Applications And Modelling In Learning And Teaching Mathematics


Applications And Modelling In Learning And Teaching Mathematics
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Author : Werner Blum
language : en
Publisher: Ellis Horwood
Release Date : 1989

Applications And Modelling In Learning And Teaching Mathematics written by Werner Blum and has been published by Ellis Horwood this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.


Indeholder de fem hovedindlæg og 65 udvalgte indlæg præsenteret på Third International Conference on the Teaching of Mathematical Modelling and Applications (ICTMA-3), Kassel University (FRG), 8-11 September 1987



Computing And Logic Mathematics And Language


Computing And Logic Mathematics And Language
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Author : Glenn Jay Satty
language : en
Publisher:
Release Date : 1988

Computing And Logic Mathematics And Language written by Glenn Jay Satty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.


This text is designed to help students overcome their hesitancy in the face of computing by leading them through simple mathematics, including set-theory and two forms of logic (propositional logic and traditional syllogistics), to basic questions of natural-language parsing. After introduction of basic notions on propositions and the nature of logic, the earlier parts center on sets and operations on sets. A discussion on quantifiers forms the bridge to considerations of mathematical logic, whence the discussion moves to Aristotelian syllogistics with its formal proofs and specific form of demonstration. In the last part of the book, the student is encouraged to follow the logical structure of a simple syntactic parser. This is used, then, as a foundation for presentation of some elements of a semantic parser, which approaches the analysis of sentences from the viewpoint of traditional category theory. Throughout the book, the more difficult questions of mathematics and philosophy of logic are illustrated with the use of simple BASIC routines, plus some illustrations in PROLOG, a fifth-generation computing language. This text is recommended for mathematics classes, where the use of the computer will support traditional methods; and for philosophy courses, where digitalized logic can help illustrate the evolution of formal methods; for logic courses that can benefit from ample exercises in several computer languages; and for linguistic sectors that involve parsing and questions of natural language representation in formal languages. Suitable as textbook for courses in Logic (undergraduate level), Introduction to Computer Programming, Symbolic Logic. Of interest to: Philosophers, computer scientists, linguists, logicians, mathematicians.



The Haskell Road To Logic Maths And Programming


The Haskell Road To Logic Maths And Programming
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Author : Kees Doets
language : en
Publisher: College Publications
Release Date : 2004

The Haskell Road To Logic Maths And Programming written by Kees Doets and has been published by College Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.


Long ago, when Alexander the Great asked the mathematician Menaechmus for a crash course in geometry, he got the famous reply ``There is no royal road to mathematics.'' Where there was no shortcut for Alexander, there is no shortcut for us. Still, the fact that we have access to computers and mature programming languages means that there are avenues for us that were denied to the kings and emperors of yore. The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming in Haskell. Haskell emerged in the 1990s as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvelous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures. This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book, the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others. This is the updated, expanded, and corrected second edition of a much-acclaimed textbook. Praise for the first edition: 'Doets and van Eijck's ``The Haskell Road to Logic, Maths and Programming'' is an astonishingly extensive and accessible textbook on logic, maths, and Haskell.' Ralf Laemmel, Professor of Computer Science, University of Koblenz-Landau