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Title Discrete Mathematics for Computing
Author Rod Haggarty
Publisher Editorial Dunken
Release 2002
Category Computers
Total Pages 235
ISBN 9780201730470
Language English, Spanish, and French
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Book Summary:

This book is a short, concise introduction to key mathematical ideas for computing students which develops their understanding of discrete mathematics and its application in computing. The topics are presented in a well defined, logical order that build upon each other and are constantly reinforced by worked examples. Reliance on students' previous mathematical experience is kept to a minimum, though some basic algebraic manipulation is required. This book is appropriate for CS and Math students in an undergraduate Discrete Math course. The content constitutes an accepted core of mathematics for computer scientists (for example, the formal methods used in computer science draw heavily on the discrete methematical concepts covered here, particularly logic, sets, relations and functions). Emphasis is placed on clear and careful explanations of basic ideas and on building confidence in developing mathematical competence through carefully selected exercises. All chapters conclude with short applications/case studies relevant to computing, which provide further motivation to engage with the mathematical ideas involved, and also demonstrate how the mathematics can be applied in a computing context.

Title Discrete Mathematics for Computing
Author Peter Grossman
Publisher Macmillan International Higher Education
Release 2008-12-16
Category Computers
Total Pages 328
ISBN 0230374050
Language English, Spanish, and French
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Book Summary:

Discrete Mathematics for Computing presents the essential mathematics needed for the study of computing and information systems. The subject is covered in a gentle and informal style, but without compromising the need for correct methodology. It is perfect for students with a limited background in mathematics. This new edition includes: • An expanded section on encryption • Additional examples of the ways in which theory can be applied to problems in computing • Many more exercises covering a range of levels, from the basic to the more advanced This book is ideal for students taking a one-semester introductory course in discrete mathematics - particularly for first year undergraduates studying Computing and Information Systems. PETER GROSSMAN has worked in both MA26 and industrial roles as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for coordinating and developing mathematics courses for Computing students. He has also applied his skills in areas as diverse as calculator design, irrigation systems and underground mine layouts. He lives and works in Melbourne, Australia.

Title Foundation Discrete Mathematics for Computing
Author DEXTER J. BOOTH
Publisher Springer
Release 2013-12-19
Category Computers
Total Pages 306
ISBN 1489971149
Language English, Spanish, and French
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Title Essential Discrete Mathematics for Computer Science
Author Harry Lewis
Publisher Princeton University Press
Release 2019-03-19
Category Computers
Total Pages 408
ISBN 0691179298
Language English, Spanish, and French
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Book Summary:

A more intuitive approach to the mathematical foundation of computer science Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. This textbook covers the discrete mathematics that every computer science student needs to learn. Guiding students quickly through thirty-one short chapters that discuss one major topic each, this flexible book can be tailored to fit the syllabi for a variety of courses. Proven in the classroom, Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises. The text requires only precalculus, and where calculus is needed, a quick summary of the basic facts is provided. Essential Discrete Mathematics for Computer Science is the ideal introductory textbook for standard undergraduate courses, and is also suitable for high school courses, distance education for adult learners, and self-study. The essential introduction to discrete mathematics Features thirty-one short chapters, each suitable for a single class lesson Includes more than 300 exercises Almost every formula and theorem proved in full Breadth of content makes the book adaptable to a variety of courses Each chapter includes a concise summary Solutions manual available to instructors

Title Discrete Mathematics Using a Computer
Author Cordelia Hall
Publisher Springer Science & Business Media
Release 2013-04-17
Category Mathematics
Total Pages 339
ISBN 1447136578
Language English, Spanish, and French
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Book Summary:

Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools such as proof checkers. These connections are emphasised throughout the book. Software tools (see Appendix A) enable the computer to serve as a calculator, but instead of just doing arithmetic and trigonometric functions, it will be used to calculate with sets, relations, functions, predicates and inferences. There are also special software tools, for example a proof checker for logical proofs using natural deduction.

Guide to Discrete Mathematics by Gerard O'Regan

Title Guide to Discrete Mathematics
Author Gerard O'Regan
Publisher Springer
Release 2016-09-16
Category Computers
Total Pages 368
ISBN 3319445618
Language English, Spanish, and French
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Book Summary:

This stimulating textbook presents a broad and accessible guide to the fundamentals of discrete mathematics, highlighting how the techniques may be applied to various exciting areas in computing. The text is designed to motivate and inspire the reader, encouraging further study in this important skill. Features: provides an introduction to the building blocks of discrete mathematics, including sets, relations and functions; describes the basics of number theory, the techniques of induction and recursion, and the applications of mathematical sequences, series, permutations, and combinations; presents the essentials of algebra; explains the fundamentals of automata theory, matrices, graph theory, cryptography, coding theory, language theory, and the concepts of computability and decidability; reviews the history of logic, discussing propositional and predicate logic, as well as advanced topics; examines the field of software engineering, describing formal methods; investigates probability and statistics.

Title Discrete Mathematics in Computer Science
Author Donald F. Stanat
Publisher Prentice Hall
Release 1977
Category Mathematics
Total Pages 401
ISBN
Language English, Spanish, and French
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Title Discrete Mathematics for Computing
Author J. Ian Munro
Publisher Chapman and Hall/CRC
Release 1992-07
Category Computers
Total Pages 306
ISBN
Language English, Spanish, and French
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Book Summary:

DSP System Design presents the investigation of special type of IIR polyphase filter structures combined with frequency transformation techniques used for fast, multi-rate filtering, and their application for custom fixed-point implementation. Detailed theoretical analysis of the polyphase IIR structure has been presented for two and three coefficients in the two-path arrangement. This was then generalized for arbitrary filter order and any number of paths. The use of polyphase IIR structures in decimation and interpolation is being presented and performance assessed in terms of the number of calculations required for the given filter specification and the simplicity of implementation. Specimen decimation filter designs to be used in Sigma-Delta lowpass and bandpass A/D converters are presented which prove to outperform other traditional approaches. New frequency transformation types have been suggested for both real and complex situations. A new exact multi-point frequency transformation approach for arbitrary frequency choice has been suggested and evaluated. Applying such transformations to the existing filter allows to change their frequency response in an intuitive manner without the need of re-designing them, thus simplifying the designer's job when the specification changes during the prototyping and testing. A new bit-flipping' algorithm has been developed to aid in filter design where the coefficient word length is constraint. Also, the standard Downhill Simplex Method (floating-point) was modified to operate with the constrained coefficient word length. Performance of both these advances is being evaluated on a number of filter cases. Novel decimation and interpolation structures have been proposed, which can be implemented very efficiently. These allow an arbitrary order IIR anti-aliasing filter to operate at the lower rate of the decimator/interpolator. Similar structures for polyphase IIR decimator/interpolator structures are being discussed too. A new approach to digital filter design and implementation has been suggested which speeds-up silicon implementation of designs developed in Matlab. The Simulink block description is converted automatically into a bit-to-bit equivalent VHDL description. This in turn can be compiled, simulated, synthesized and fabricated without the need to go through the design process twice, first algorithmic/structural design and then the implementation. The book is full of design and analysis techniques. It contains sufficient introductory material enabling non-expert readers to understand the material given in it. DSP System Design may be of interest to graduate students, researchers, and professionals circuit designers, who would require fast and low-complexity digital filters for both single and multi-rate applications, especially those with low-power specification.

Title Discrete Mathematics and Theoretical Computer Science
Author Cristian Calude
Publisher Springer Science & Business Media
Release 2003-06-27
Category Computers
Total Pages 300
ISBN 3540405054
Language English, Spanish, and French
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Book Summary:

The fourthDiscrete Mathematics andTheoreticalComputer Science Conference (DMTCS 2003) was jointly organized by the Centre for Discrete Mathematics and Theoretical Computer Science (CDMTCS) of the University of Auckland and the University of Bourgogne in Dijon, France, and took place in Dijon from 7 to12 July2003.Thepreviousconferenceswereheld inAuckland,NewZealand (1996, 1999) and Constan ̧ ta, Romania (2001). The ?ve invited speakers of the conference were: G.J. Chaitin (IBM, New York), C. Ding (UST, Hong Kong), S. Istrail (Celera Genomics, Rockville), M. Margenstein (LITA, Metz), and T. Walsh (UQAM, Montreal). The Programme Committee, consisting of V. Berthe (Marseille), S. Boza- lidis(Thessaloniki),C.S.Calude(chair,Auckland),V.E.Cazanescu(Bucharest), F. Cucker (Hong Kong), M. Deza (Paris and Tokyo), J. Diaz (Spain), M.J. D- neen(secretary,Auckland),B.Durand(Marseille),L.Hemaspaandra(Rochester), P. Hertling (Hagen), J. Kohlas (Fribourg), G. Markowski (Orono), M. Mitrovic (Nis), A. Salomaa (Turku), L. Staiger (Halle), D. Skordev (So?a), G. Slutzki (Ames), I. Tomescu (Bucharest), M. Yasugi (Kyoto), and V. Vajnovszki (- jon), selected 18 papers (out of 35) to be presented as regular contributions and 1 5 other special CDMTCS papers.

Title Fundamentals of Discrete Math for Computer Science
Author Tom Jenkyns
Publisher Springer Science & Business Media
Release 2012-10-16
Category Computers
Total Pages 416
ISBN 1447140699
Language English, Spanish, and French
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Book Summary:

This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in mathematics required; ideally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendations; describes mathematical processes in an algorithmic manner; contains examples and exercises throughout the text, and highlights the most important concepts in each section; selects examples that demonstrate a practical use for the concept in question.

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