Discrete Mathematical Structures 1 e

Author: U.S. Gupta
Publisher: Pearson Education India
ISBN: 9789332537224
Release Date:
Genre:

Discrete Mathematical Structures provides comprehensive, reasonably rigorous and simple explanation of the concepts with the help of numerous applications from computer science and engineering. Every chapter is equipped with a good number of solved examples that elucidate the definitions and theorems discussed. Chapter-end exercises are graded, with the easier ones in the beginning and then the complex ones, to help students for easy solving.

DISCRETE MATHEMATICS AND GRAPH THEORY

Author: PURNA CHANDRA BISWAL
Publisher: PHI Learning Pvt. Ltd.
ISBN: 9788120346918
Release Date: 2012-11-18
Genre: Mathematics

This textbook, now in its third edition, continues to provide an accessible introduction to discrete mathematics and graph theory. The introductory material on Mathematical Logic is followed by extensive coverage of combinatorics, recurrence relation, binary relations, coding theory, distributive lattice, bipartite graphs, trees, algebra, and Polya’s counting principle. A number of selected results and methods of discrete mathematics are discussed in a logically coherent fashion from the areas of mathematical logic, set theory, combinatorics, binary relation and function, Boolean lattice, planarity, and group theory. There is an abundance of examples, illustrations and exercises spread throughout the book. A good number of problems in the exercises help students test their knowledge. The text is intended for the undergraduate students of Computer Science and Engineering as well as students of Mathematics and those pursuing courses in the areas of Computer Applications and Information Technology. New to The Third Edition Includes a new chapter (Chapter 2) on Methods of proof. Contains new sections on Enumeration of graphs, Branching process in enumerating trees, Pseudo Boolean lattice, and Subgroup. Redistributes most of the problems given in exercises section-wise. Provides many examples and exercises. Gives elaborate hints for solving exercise problems.

Handbook of Graph Theory Second Edition

Author: Jonathan L. Gross
Publisher: CRC Press
ISBN: 9781439880180
Release Date: 2013-12-17
Genre: Mathematics

In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition—over 400 pages longer than its predecessor—incorporates 14 new sections. Each chapter includes lists of essential definitions and facts, accompanied by examples, tables, remarks, and, in some cases, conjectures and open problems. A bibliography at the end of each chapter provides an extensive guide to the research literature and pointers to monographs. In addition, a glossary is included in each chapter as well as at the end of each section. This edition also contains notes regarding terminology and notation. With 34 new contributors, this handbook is the most comprehensive single-source guide to graph theory. It emphasizes quick accessibility to topics for non-experts and enables easy cross-referencing among chapters.

Image Processing and Analysis with Graphs

Author: Olivier Lezoray
Publisher: CRC Press
ISBN: 9781351833172
Release Date: 2017-07-12
Genre: Computers

Covering the theoretical aspects of image processing and analysis through the use of graphs in the representation and analysis of objects, Image Processing and Analysis with Graphs: Theory and Practice also demonstrates how these concepts are indispensible for the design of cutting-edge solutions for real-world applications. Explores new applications in computational photography, image and video processing, computer graphics, recognition, medical and biomedical imaging With the explosive growth in image production, in everything from digital photographs to medical scans, there has been a drastic increase in the number of applications based on digital images. This book explores how graphs—which are suitable to represent any discrete data by modeling neighborhood relationships—have emerged as the perfect unified tool to represent, process, and analyze images. It also explains why graphs are ideal for defining graph-theoretical algorithms that enable the processing of functions, making it possible to draw on the rich literature of combinatorial optimization to produce highly efficient solutions. Some key subjects covered in the book include: Definition of graph-theoretical algorithms that enable denoising and image enhancement Energy minimization and modeling of pixel-labeling problems with graph cuts and Markov Random Fields Image processing with graphs: targeted segmentation, partial differential equations, mathematical morphology, and wavelets Analysis of the similarity between objects with graph matching Adaptation and use of graph-theoretical algorithms for specific imaging applications in computational photography, computer vision, and medical and biomedical imaging Use of graphs has become very influential in computer science and has led to many applications in denoising, enhancement, restoration, and object extraction. Accounting for the wide variety of problems being solved with graphs in image processing and computer vision, this book is a contributed volume of chapters written by renowned experts who address specific techniques or applications. This state-of-the-art overview provides application examples that illustrate practical application of theoretical algorithms. Useful as a support for graduate courses in image processing and computer vision, it is also perfect as a reference for practicing engineers working on development and implementation of image processing and analysis algorithms.

Das BUCH der Beweise

Author: Martin Aigner
Publisher: Springer-Verlag
ISBN: 9783662064542
Release Date: 2013-07-29
Genre: Mathematics

Die elegantesten mathematischen Beweise, spannend und für jeden Interessierten verständlich. "Der Beweis selbst, seine Ästhetik, seine Pointe geht ins Geschichtsbuch der Königin der Wissenschaften ein. Ihre Anmut offenbart sich in dem gelungenen und geschickt illustrierten Buch." Die Zeit

Schaum s Outline of Discrete Mathematics 3rd Ed

Author: Seymour Lipschutz
Publisher: McGraw Hill Professional
ISBN: 9780071511018
Release Date: 2007-06-01
Genre: Mathematics

This is a topic that becomes increasingly important every year as the digital age extends and grows more encompassing in every facet of life Discrete mathematics, the study of finite systems has become more important as the computer age has advanced, as computer arithmetic, logic, and combinatorics have become standard topics in the discipline. For mathematics majors it is one of the core required courses. This new edition will bring the outline into synch with Rosen, McGraw-Hill’s bestselling textbook in the field as well as up to speed in the current curriculum. New material will include expanded coverage of logic, the rules of inference and basic types of proofs in mathematical reasoning. This will give students a better understanding of proofs of facts about sets and functions. There will be increased emphasis on discrete probability and aspects of probability theory, and greater accessibility to counting techniques. This new edition features: Counting chapter will have new material on generalized combinations New chapter on computer arithmetic, with binary and hexagon addition and multiplication New Cryptology chapter including substitution and RSA method This outline is the perfect supplement to any course in discrete math and can also serve as a stand-alone textbook

Schaum s Outline of Discrete Mathematics

Author: Seymor Lipschutz
Publisher: McGraw Hill Professional
ISBN: 0071368418
Release Date: 1997-06-22
Genre: Mathematics

The first edition of this book sold more than 100,000 copies—and this new edition will show you why! Schaum’s Outline of Discrete Mathematics shows you step by step how to solve the kind of problems you’re going to find on your exams. And this new edition features all the latest applications of discrete mathematics to computer science! This guide can be used as a supplement, to reinforce and strengthen the work you do with your class text. (It works well with virtually any discrete mathematics textbook.) But it is so comprehensive that it can even be used alone as a text in discrete mathematics or as independent study tool!

Mathematics A Discrete Introduction

Author: Edward A. Scheinerman
Publisher: Cengage Learning
ISBN: 9780840049421
Release Date: 2012-03-05
Genre: Mathematics

MATHEMATICS: A DISCRETE INTRODUCTION teaches students the fundamental concepts in discrete mathematics and proof-writing skills. With its clear presentation, the text shows students how to present cases logically beyond this course. All of the material is directly applicable to computer science and engineering, but it is presented from a mathematician's perspective. Students will learn that discrete mathematics is very useful, especially those whose interests lie in computer science and engineering, as well as those who plan to study probability, statistics, operations research, and other areas of applied mathematics. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Essentials of Discrete Mathematics

Author: David J. Hunter
Publisher: Jones & Bartlett Publishers
ISBN: 9781284056242
Release Date: 2015-08-31
Genre: Computers

Written for the one-term course, the Third Edition of Essentials of Discrete Mathematics is designed to serve computer science majors as well as students from a wide range of disciplines. The material is organized around five types of thinking: logical, relational, recursive, quantitative, and analytical. This presentation results in a coherent outline that steadily builds upon mathematical sophistication. Graphs are introduced early and referred to throughout the text, providing a richer context for examples and applications. tudents will encounter algorithms near the end of the text, after they have acquired the skills and experience needed to analyze them. The final chapter contains in-depth case studies from a variety of fields, including biology, sociology, linguistics, economics, and music.

Rechnerorganisation und Rechnerentwurf

Author: David Patterson
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 9783110446067
Release Date: 2016-05-24
Genre: Computers

Mit der deutschen Übersetzung zur fünfter Auflage des amerikanischen Klassikers Computer Organization and Design - The Hardware/Software Interface ist das Standardwerk zur Rechnerorganisation wieder auf dem neusten Stand - David A. Patterson und John L. Hennessy gewähren die gewohnten Einblicke in das Zusammenwirken von Hard- und Software, Leistungseinschätzungen und zahlreicher Rechnerkonzepte in einer Tiefe, die zusammen mit klarer Didaktik und einer eher lockeren Sprache den Erfolg dieses weltweit anerkannten Standardwerks begründen. Patterson und Hennessy achten darauf, nicht nur auf das "Wie" der dargestellten Konzepte, sondern auch auf ihr "Warum" einzugehen und zeigen damit Gründe für Veränderungen und neue Entwicklungen auf. Jedes der Kapitel steht für einen deutlich umrissenen Teilbereich der Rechnerorganisation und ist jeweils gleich aufgebaut: Eine Einleitung, gefolgt von immer tiefgreifenderen Grundkonzepten mit steigernder Komplexität. Darauf eine aktuelle Fallstudie, "Fallstricke und Fehlschlüsse", Zusammenfassung und Schlussbetrachtung, historische Perspektiven und Literaturhinweise sowie Aufgaben. In der neuen Auflage sind die Inhalte in den Kapiteln 1-5 an vielen Stellen punktuell verbessert und aktualisiert, mit der Vorstellung neuerer Prozessoren worden, und der Kapitel 6... from Client to Cloud wurde stark überarbeitetUmfangreiches Zusatzmaterial (Werkzeuge mit Tutorien etc.) stehtOnline zur Verfügung.

Discrete mathematics

Author: Richard Johnsonbaugh
Publisher: Simon & Schuster Books For Young Readers
ISBN: 0023596902
Release Date: 1990
Genre: Mathematics

This best-selling book provides an accessible introduction to discrete mathematics through an algorithmic approach that focuses on problem- solving techniques. This edition has the techniques of proofs woven into the text as a running theme and each chapter has the problem-solving corner. The text provides complete coverage of: Logic and Proofs; Algorithms; Counting Methods and the Pigeonhole Principle; Recurrence Relations; Graph Theory; Trees; Network Models; Boolean Algebra and Combinatorial Circuits; Automata, Grammars, and Languages; Computational Geometry. For individuals interested in mastering introductory discrete mathematics.

Einf hrung in die Geometrie und Topologie

Author: Werner Ballmann
Publisher: Springer-Verlag
ISBN: 9783034809016
Release Date: 2015-02-19
Genre: Mathematics

Das Buch bietet eine Einführung in die Topologie, Differentialtopologie und Differentialgeometrie. Es basiert auf Manuskripten, die in verschiedenen Vorlesungszyklen erprobt wurden. Im ersten Kapitel werden grundlegende Begriffe und Resultate aus der mengentheoretischen Topologie bereitgestellt. Eine Ausnahme hiervon bildet der Jordansche Kurvensatz, der für Polygonzüge bewiesen wird und eine erste Idee davon vermitteln soll, welcher Art tiefere topologische Probleme sind. Im zweiten Kapitel werden Mannigfaltigkeiten und Liesche Gruppen eingeführt und an einer Reihe von Beispielen veranschaulicht. Diskutiert werden auch Tangential- und Vektorraumbündel, Differentiale, Vektorfelder und Liesche Klammern von Vektorfeldern. Weiter vertieft wird diese Diskussion im dritten Kapitel, in dem die de Rhamsche Kohomologie und das orientierte Integral eingeführt und der Brouwersche Fixpunktsatz, der Jordan-Brouwersche Zerlegungssatz und die Integralformel von Stokes bewiesen werden. Das abschließende vierte Kapitel ist den Grundlagen der Differentialgeometrie gewidmet. Entlang der Entwicklungslinien, die die Geometrie der Kurven und Untermannigfaltigkeiten in Euklidischen Räumen durchlaufen hat, werden Zusammenhänge und Krümmung, die zentralen Konzepte der Differentialgeometrie, diskutiert. Den Höhepunkt bilden die Gaussgleichungen, die Version des theorema egregium von Gauss für Untermannigfaltigkeiten beliebiger Dimension und Kodimension. Das Buch richtet sich in erster Linie an Mathematik- und Physikstudenten im zweiten und dritten Studienjahr und ist als Vorlage für ein- oder zweisemestrige Vorlesungen geeignet.

Relationen und Graphen

Author: Gunther Schmidt
Publisher: Springer-Verlag
ISBN: 9783642836084
Release Date: 2013-03-08
Genre: Mathematics

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.