## Discrete Mathematics in the Schools

**Author**: Joseph G. Rosenstein

**Publisher:**American Mathematical Soc.

**ISBN:**9780821885789

**Category:**Mathematics

**Page:**452

**View:**6099

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This book provides teachers of all levels with a great deal of valuable material to help them introduce discrete mathematics into their classrooms.

## Fundamentals of Discrete Math for Computer Science

*A Problem-Solving Primer*

**Author**: Tom Jenkyns,Ben Stephenson

**Publisher:**Springer Science & Business Media

**ISBN:**1447140699

**Category:**Computers

**Page:**416

**View:**9901

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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.

## Relationen und Graphen

**Author**: Gunther Schmidt,Thomas Ströhlein

**Publisher:**Springer-Verlag

**ISBN:**3642836089

**Category:**Mathematics

**Page:**306

**View:**7086

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Dieses Buch gibt eine neuartige systematische Darstellung der Diskreten Mathematik; sie orientiert sich an Methoden der Relationenalgebra. Ähnlich wie man es sonst nur für die weit entwickelte Analysis im kontinuierlichen Fall und die Matrizenrechnung gewohnt ist, stellt dieses Buch auch für die Behandlung diskreter Probleme geeignete Techniken und Hilfsmittel sowie eine einheitliche Theorie bereit. Die einzelnen Kapitel beginnen jeweils mit anschaulichen und motivierenden Beispielen und behandeln anschließend den Stoff in mathematischer Strenge. Es folgen jeweils praktische Anwendungen. Diese entstammen der Semantik der Programmierung, der Programmverifikation, dem Datenbankbereich, der Spieltheorie oder der Theorie der Zuordnungen und Überdeckungen aus der Graphentheorie; sie reichen aber auch bis zu rein mathematischen "Anwendungen" wie der transfiniten Induktion. Im Anhang ist dem Buch eine Einführung in die Boolesche Algebra und in die Axiomatik der Relationenalgebra beigegeben, sowie ein Abriß der Fixpunkt- und Antimorphismen-Theorie.

## Discrete Mathematics Using a Computer

**Author**: John O'Donnell,Cordelia Hall,Rex Page

**Publisher:**Springer Science & Business Media

**ISBN:**1846285984

**Category:**Computers

**Page:**441

**View:**1109

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Computer science abounds with applications of discrete mathematics, yet s- dents of computer science often study discrete mathematics in the context of purely mathematical applications. They have to ?gure out for themselves how to apply the ideas of discrete mathematics to computing problems. It is not easy. Most students fail to experience broad success in this enterprise, which is not surprising, since many of the most important advances in science and engineeringhavebeen, precisely, applicationsofmathematicstospeci?cscience and engineering problems. Tobesure,mostdiscretemathtextbooksincorporatesomeaspectsapplying discrete math to computing, but it usually takes the form of asking students to write programs to compute the number of three-ball combinations there are in a set of ten balls or, at best, to implement a graph algorithm. Few texts ask students to use mathematical logic to analyze properties of digital circuits or computer programs or to apply the set theoretic model of functions to understand higher-order operations. A major aim of this text is to integrate, tightly, the study of discrete mathematics with the study of central problems of computer science.

## A Logical Approach to Discrete Math

**Author**: David Gries,Fred B. Schneider

**Publisher:**Springer Science & Business Media

**ISBN:**1475738374

**Category:**Computers

**Page:**516

**View:**7365

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Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.

## Discrete Mathematics with Proof

**Author**: Eric Gossett

**Publisher:**John Wiley & Sons

**ISBN:**0470457937

**Category:**Mathematics

**Page:**904

**View:**5020

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"Discrete mathematics has become increasingly popular in recent years due to its growing applications in the field of computer science. - Discrete Mathematics with Proof, Second Edition continues to facilitate an up-to-date understanding of this important topic, exposing readers to a wide range of modern and technological applications. Assuming only a basic background in calculus, Discrete Mathematics with Proof, Second Edition is an excellent book for mathematics and computer science courses at the undergraduate level. - It is also a valuable resource for professionals in various technical fields who would like an introduction to discrete mathematics."--Jacket.

## Relations and graphs

*discrete mathematics for computer scientists*

**Author**: Günther Schmidt,Thomas Ströhlein

**Publisher:**New York

**ISBN:**9783540562542

**Category:**Computers

**Page:**301

**View:**2250

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Relational methods can be found at various places in computer science, notably in data base theory, relational semantics of concurrency, relationaltype theory, analysis of rewriting systems, and modern programming language design. In addition, they appear in algorithms analysis and in the bulk of discrete mathematics taught to computer scientists. This book is devoted to the background of these methods. It explains how to use relational and graph-theoretic methods systematically in computer science. A powerful formal framework of relational algebra is developed with respect to applications to a diverse range of problem areas. Results are first motivated by practical examples, often visualized by both Boolean 0-1-matrices and graphs, and then derived algebraically.

## Introductory Discrete Mathematics

**Author**: V. K . Balakrishnan

**Publisher:**Courier Corporation

**ISBN:**0486140385

**Category:**Mathematics

**Page:**256

**View:**8977

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This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.

## Discrete Mathematics for Computing

**Author**: Rod Haggarty

**Publisher:**Editorial Dunken

**ISBN:**9780201730470

**Category:**Computers

**Page:**235

**View:**6866

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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.

## Discrete Mathematics

**Author**: Martin Aigner

**Publisher:**American Mathematical Soc.

**ISBN:**9780821886151

**Category:**Mathematics

**Page:**388

**View:**6506

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The advent of fast computers and the search for efficient algorithms revolutionized combinatorics and brought about the field of discrete mathematics. This book is an introduction to the main ideas and results of discrete mathematics, and with its emphasis on algorithms it should be interesting to mathematicians and computer scientists alike. The book is organized into three parts: enumeration, graphs and algorithms, and algebraic systems. There are 600 exercises with hints andsolutions to about half of them. The only prerequisites for understanding everything in the book are linear algebra and calculus at the undergraduate level. Praise for the German edition ... This book is a well-written introduction to discrete mathematics and is highly recommended to every student ofmathematics and computer science as well as to teachers of these topics. --Konrad Engel for MathSciNet Martin Aigner is a professor of mathematics at the Free University of Berlin. He received his PhD at the University of Vienna and has held a number of positions in the USA and Germany before moving to Berlin. He is the author of several books on discrete mathematics, graph theory, and the theory of search. The Monthly article Turan's graph theorem earned him a 1995 Lester R. Ford Prize of theMAA for expository writing, and his book Proofs from the BOOK with Gunter M. Ziegler has been an international success with translations into 12 languages.

## Lectures on Discrete Mathematics for Computer Science

**Author**: Bakhadyr Khoussainov,Nodira Khoussainova

**Publisher:**World Scientific Publishing Company

**ISBN:**9813108126

**Category:**Mathematics

**Page:**364

**View:**8977

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This textbook presents fundamental topics in discrete mathematics introduced from the perspectives of a pure mathematician and an applied computer scientist. The synergy between the two complementary perspectives is seen throughout the book; key concepts are motivated and explained through real-world examples, and yet are still formalized with mathematical rigor. The book is an excellent introduction to discrete mathematics for computer science, software engineering, and mathematics students. The first author is a leading mathematician in the area of logic, computability, and theoretical computer science, with more than 25 years of teaching and research experience. The second author is a computer science PhD student at the University of Washington specializing in database systems. The father-and-daughter team merges two different views to create a unified book for students interested in learning discrete mathematics, the connections between discrete mathematics and computer science, and the mathematical foundations of computer science. Readers will learn how to formally define abstract concepts, reason about objects (such as programs, graphs and numbers), investigate properties of algorithms, and prove their correctness. The textbook studies several well-known algorithmic problems including the path problem for graphs and finding the greatest common divisor, inductive definitions, proofs of correctness of algorithms via loop invariants and induction, the basics of formal methods such as propositional logic, finite state machines, counting, probability, as well as the foundations of databases such as relational calculus.

## Discrete Mathematics for Computer Scientists

**Author**: Clifford Stein,Robert L. Drysdale,Kenneth P. Bogart

**Publisher:**N.A

**ISBN:**9780131377103

**Category:**Computer science

**Page:**525

**View:**4898

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Stein/Drysdale/Bogart's Discrete Mathematics for Computer Scientists is ideal for computer science students taking the discrete math course. Written specifically for computer science students, this unique textbook directly addresses their needs by providing a foundation in discrete math while using motivating, relevant CS applications. This text takes an active-learning approach where activities are presented as exercises and the material is then fleshed out through explanations and extensions of the exercises.

## UNDERSTANDING DISCRETE MATHEMATICS WITH APPLICATIONS IN COMPUTER SCIENCE

**Author**: MUZZAFA RASOOL BHAT & ASHIQ HUSSAIN HELLA

**Publisher:**Onlinegatha

**ISBN:**9386352540

**Category:**

**Page:**288

**View:**5968

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## Relations and Graphs

*Discrete Mathematics for Computer Scientists*

**Author**: Gunther Schmidt,Thomas Ströhlein

**Publisher:**Springer Science & Business Media

**ISBN:**3642779689

**Category:**Computers

**Page:**301

**View:**2984

**DOWNLOAD NOW »**

Relational methods can be found at various places in computer science, notably in data base theory, relational semantics of concurrency, relationaltype theory, analysis of rewriting systems, and modern programming language design. In addition, they appear in algorithms analysis and in the bulk of discrete mathematics taught to computer scientists. This book is devoted to the background of these methods. It explains how to use relational and graph-theoretic methods systematically in computer science. A powerful formal framework of relational algebra is developed with respect to applications to a diverse range of problem areas. Results are first motivated by practical examples, often visualized by both Boolean 0-1-matrices and graphs, and then derived algebraically.

## Fundamentals of Discrete Math for Computer Science: A Problem Solving Primer

**Author**: Tom Jenkyns

**Publisher:**Lulu Press, Inc

**ISBN:**1365601595

**Category:**Science

**Page:**N.A

**View:**6796

**DOWNLOAD NOW »**

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.

## ADVANCED DISCRETE MATHEMATICS

**Author**: UDAY SINGH RAJPUT

**Publisher:**PHI Learning Pvt. Ltd.

**ISBN:**8120345894

**Category:**Mathematics

**Page:**400

**View:**492

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Written in an accessible style, this text provides a complete coverage of discrete mathematics and its applications at an appropriate level of rigour. The book discusses algebraic structures, mathematical logic, lattices, Boolean algebra, graph theory, automata theory, grammars and recurrence relations. It covers the important topics such as coding theory, Dijkstra’s shortest path algorithm, reverse polish notation, Warshall’s algorithm, Menger’s theorem, Turing machine, and LR(k) parsers, which form a part of the fundamental applications of discrete mathematics in computer science. In addition, Pigeonhole principle, ring homomorphism, field and integral domain, trees, network flows, languages, and recurrence relations. The text is supported with a large number of examples, worked-out problems and diagrams that help students understand the theoretical explanations. The book is intended as a text for postgraduate students of mathematics, computer science, and computer applications. In addition, it will be extremely useful for the undergraduate students of computer science and engineering.

## Discrete Mathematics for Computer Science

**Author**: Gary Haggard,John Schlipf,Sue Whitesides

**Publisher:**Brooks/Cole Publishing Company

**ISBN:**9780534495015

**Category:**Mathematics

**Page:**600

**View:**8592

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Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career.

## A Short Course in Discrete Mathematics

**Author**: Edward A. Bender,S. Gill Williamson

**Publisher:**Courier Corporation

**ISBN:**0486439461

**Category:**Mathematics

**Page:**240

**View:**9565

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What sort of mathematics do I need for computer science? In response to this frequently asked question, a pair of professors at the University of California at San Diego created this text. Its sources are two of the university's most basic courses: Discrete Mathematics, and Mathematics for Algorithm and System Analysis. Intended for use by sophomores in the first of a two-quarter sequence, the text assumes some familiarity with calculus. Topics include Boolean functions and computer arithmetic; logic; number theory and cryptography; sets and functions; equivalence and order; and induction, sequences, and series. Multiple choice questions for review appear throughout the text. Original 2005 edition. Notation Index. Subject Index.

## Discrete Mathematics and Functional Programming

**Author**: Thomas VanDrunen

**Publisher:**Franklin Beedle & Associates

**ISBN:**9781590282601

**Category:**Computer science

**Page:**670

**View:**7000

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This book provides a distinct way to teach discrete mathematics. Since discrete mathematics is crucial for rigorous study in computer science, many texts include applications of mathematical topics to computer science or have selected topics of particular interest to computer science. This text fully integrates discrete mathematics with ......