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Author : Goodaire
Publisher :
ISBN 13 : 9780130920133
Total Pages : pages
Book Rating : 4.9/5 (21 download)
Download or read book Discrete Mathematics with Graph Theory Ssm written by Goodaire and published by . This book was released on 2001-09-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : BHAVANARI SATYANARAYANA
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120349482
Total Pages : 528 pages
Book Rating : 4.1/5 (23 download)
Download or read book DISCRETE MATHEMATICS AND GRAPH THEORY written by BHAVANARI SATYANARAYANA and published by PHI Learning Pvt. Ltd.. This book was released on 2014-04-04 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive and self-contained text provides a thorough understanding of the concepts and applications of discrete mathematics and graph theory. It is written in such a manner that beginners can develop an interest in the subject. Besides providing the essentials of theory, the book helps develop problem-solving techniques and sharpens the skill of thinking logically. The book is organized in two parts. The first part on discrete mathematics covers a wide range of topics such as predicate logic, recurrences, generating function, combinatorics, partially ordered sets, lattices, Boolean algebra, finite state machines, finite fields, elementary number theory and discrete probability. The second part on graph theory covers planarity, colouring and partitioning, directed and algebraic graphs. In the Second Edition, more exercises with answers have been added in various chapters. Besides, an appendix on languages has also been included at the end of the book. The book is intended to serve as a textbook for undergraduate engineering students of computer science and engineering, information communication technology (ICT), and undergraduate and postgraduate students of mathematics. It will also be useful for undergraduate and postgraduate students of computer applications. KEY FEATURES • Provides algorithms and flow charts to explain several concepts. • Gives a large number of examples to illustrate the concepts discussed. • Includes many worked-out problems to enhance the student’s grasp of the subject. • Provides exercises with answers to strengthen the student’s problem-solving ability. AUDIENCE • Undergraduate Engineering students of Computer Science and Engineering, Information communication technology (ICT) • Undergraduate and Postgraduate students of Mathematics. • Undergraduate and Postgraduate students of Computer Applications.
Author : K. Erciyes
Publisher : Springer Nature
ISBN 13 : 3030611159
Total Pages : 345 pages
Book Rating : 4.0/5 (36 download)
Download or read book Discrete Mathematics and Graph Theory written by K. Erciyes and published by Springer Nature. This book was released on 2021-01-28 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before. It can also be used as a reference book for a course on Discrete Mathematics in Computer Science or Mathematics curricula. The study of discrete mathematics is one of the first courses on curricula in various disciplines such as Computer Science, Mathematics and Engineering education practices. Graphs are key data structures used to represent networks, chemical structures, games etc. and are increasingly used more in various applications such as bioinformatics and the Internet. Graph theory has gone through an unprecedented growth in the last few decades both in terms of theory and implementations; hence it deserves a thorough treatment which is not adequately found in any other contemporary books on discrete mathematics, whereas about 40% of this textbook is devoted to graph theory. The text follows an algorithmic approach for discrete mathematics and graph problems where applicable, to reinforce learning and to show how to implement the concepts in real-world applications.
Author : Amanda Chetwynd
Publisher : Elsevier
ISBN 13 : 0080928609
Total Pages : 221 pages
Book Rating : 4.0/5 (89 download)
Download or read book Discrete Mathematics written by Amanda Chetwynd and published by Elsevier. This book was released on 1995-09-17 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an introduction to discrete mathematics, this text provides a straightforward overview of the range of mathematical techniques available to students. Assuming very little prior knowledge, and with the minimum of technical complication, it gives an account of the foundations of modern mathematics: logic; sets; relations and functions. It then develops these ideas in the context of three particular topics: combinatorics (the mathematics of counting); probability (the mathematics of chance) and graph theory (the mathematics of connections in networks). Worked examples and graded exercises are used throughout to develop ideas and concepts. The format of this book is such that it can be easily used as the basis for a complete modular course in discrete mathematics.
Author : S. Santha
Publisher :
ISBN 13 : 9788131510988
Total Pages : 850 pages
Book Rating : 4.5/5 (19 download)
Download or read book Discrete Mathematics With Combinatorics And Graph Theory written by S. Santha and published by . This book was released on 2009-01-01 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics is designed to serve as a textbook for a single-semester undergraduate course on the discrete and combinatorial mathematics. Beginning with a a lucid introduction to logic and set theory, the book goes on to cover matrix algebra, algebraic systems, coding theory, lattices and Boolean algebra, parts, and discrete probability A comprehensive chapter dedicated to graph theory makes it a complete undergraduate text on discrete mathematical structures.Written in an easy-to-understand manner, the book includes a large number of solved examples which illustrate problem-solving methodology. It contains an extensive set of exercises. Both solved and unsolved problems show a good gradation of difficulty levels. A summary at the end of each chapter reviews the key concepts discussed.
Author : D.P. Acharjya
Publisher : New Age International
ISBN 13 : 8122416926
Total Pages : 18 pages
Book Rating : 4.1/5 (224 download)
Download or read book Fundamental Approach To Discrete Mathematics written by D.P. Acharjya and published by New Age International. This book was released on 2005 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Salient Features * Mathematical Logic, Fundamental Concepts, Proofs And Mathematical Induction (Chapter 1) * Set Theory, Fundamental Concepts, Theorems, Proofs, Venn Diagrams, Product Of Sets, Application Of Set Theory And Fundamental Products (Chapter 2) * An Introduction To Binary Relations And Concepts, Graphs, Arrow Diagrams, Relation Matrix, Composition Of Relations, Types Of Relation, Partial Order Relations, Total Order Relation, Closure Of Relations, Poset, Equivalence Classes And Partitions. (Chapter 3) * An Introduction To Functions And Basic Concepts, Graphs, Composition Of Functions, Floor And Ceiling Function, Characteristic Function, Remainder Function, Signum Function And Introduction To Hash Function. (Chapter 4) * The Algebraic Structure Includes Group Theory And Ring Theory. Group Theory Includes Group, Subgroups, Cyclic Group, Cosets, Homomorphism, Introduction To Codes And Group Codes And Error Correction For Block Code. The Ring Theory Includes General Definition, Fundamental Concepts, Integral Domain, Division Ring, Subring, Homomorphism, An Isomorphism And Pigeonhole Principle (Chapters 5, 6 And 7) * A Treatment Of Boolean Algebras That Emphasizes The Relation Of Boolean Algebras To Combinatorial Circuits. (Chapter 8) * An Introduction To Lattices And Basic Concepts (Chapter 9) * A Brief Introduction To Graph Theory Is Discussed. Elements Of Graph Theory Are Indispensable In Almost All Computer Science Areas. Examples Are Given Of Its Use In Such Areas As Minimum Spanning Tree, Shortest Path Problems (Dijkastra'S Algorithm And Floyd-Warshall Algorithm) And Traveling Salesman Problem. The Computer Representation And Manipulation Of Graphs Are Also Discussed So That Certain Important Algorithms Can Be Included(Chapters 10 And 11) * A Strong Emphasis Is Given On Understanding The Theorems And Its Applications * Numbers Of Illustrations Are Used Throughout The Book For Explaining The Concepts And Its Applications. * Figures And Tables Are Used To Illustrate Concepts, To Elucidate Proofs And To Motivate The Material. The Captions Of These Figures Provide Additional Explanation. Besides This, A Number Of Exercises Are Given For Practice
Author : Edgar G. Goodaire
Publisher : Prentice Hall
ISBN 13 : 9780131679955
Total Pages : 0 pages
Book Rating : 4.6/5 (799 download)
Download or read book Discrete Mathematics with Graph Theory written by Edgar G. Goodaire and published by Prentice Hall. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 0. Yes, there are proofs! 1. Logic 2. Sets and relations 3. Functions 4. The integers 5. Induction and recursion 6. Principles of counting 7. Permutations and combinations 8. Algorithms 9. Graphs 10. Paths and circuits 11. Applications of paths and circuits 12. Trees 13. Planar graphs and colorings 14. The Max flow-min cut theorem.
Author : W.D. Wallis
Publisher : Springer Science & Business Media
ISBN 13 : 1475738269
Total Pages : 376 pages
Book Rating : 4.4/5 (757 download)
Download or read book A Beginner’s Guide to Discrete Mathematics written by W.D. Wallis and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to discrete mathematics is aimed at freshmen and sophomores in mathematics and computer science. It begins with a survey of number systems and elementary set theory before moving on to treat data structures, counting, probability, relations and functions, graph theory, matrices, number theory and cryptography. The end of each section contains problem sets with selected solutions, and good examples occur throughout the text.
Author : Gary Chartrand
Publisher : Waveland Press
ISBN 13 : 1478608323
Total Pages : 685 pages
Book Rating : 4.4/5 (786 download)
Download or read book Discrete Mathematics written by Gary Chartrand and published by Waveland Press. This book was released on 2011-03-31 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chartrand and Zhangs Discrete Mathematics presents a clearly written, student-friendly introduction to discrete mathematics. The authors draw from their background as researchers and educators to offer lucid discussions and descriptions fundamental to the subject of discrete mathematics. Unique among discrete mathematics textbooks for its treatment of proof techniques and graph theory, topics discussed also include logic, relations and functions (especially equivalence relations and bijective functions), algorithms and analysis of algorithms, introduction to number theory, combinatorics (counting, the Pascal triangle, and the binomial theorem), discrete probability, partially ordered sets, lattices and Boolean algebras, cryptography, and finite-state machines. This highly versatile text provides mathematical background used in a wide variety of disciplines, including mathematics and mathematics education, computer science, biology, chemistry, engineering, communications, and business. Some of the major features and strengths of this textbook Numerous, carefully explained examples and applications facilitate learning. More than 1,600 exercises, ranging from elementary to challenging, are included with hints/answers to all odd-numbered exercises. Descriptions of proof techniques are accessible and lively. Students benefit from the historical discussions throughout the textbook.
Author : Santosh Kumar Yadav
Publisher :
ISBN 13 : 9783031213229
Total Pages : 0 pages
Book Rating : 4.2/5 (132 download)
Download or read book Discrete Mathematics with Graph Theory written by Santosh Kumar Yadav and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to meet the requirement of undergraduate and postgraduate students pursuing computer science, information technology, mathematical science, and physical science course. No formal prerequisites are needed to understand the text matter except a very reasonable background in college algebra. The text contains in-depth coverage of all major topics proposed by professional institutions and universities for a discrete mathematics course. It emphasizes on problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof technique, algorithmic development, algorithm correctness, and numeric computations. A sufficient amount of theory is included for those who enjoy the beauty in development of the subject and a wealth of applications as well as for those who enjoy the power of problem-solving techniques. Biographical sketches of nearly 25 mathematicians and computer scientists who have played a significant role in the development of the field are threaded into the text to provide a human dimension and attach a human face to major discoveries. Each section of the book contains a generous selection of carefully tailored examples to classify and illuminate various concepts and facts. Theorems are backbone of mathematics. Consequently, this book contains the various proof techniques, explained and illustrated in details. Most of the concepts, definitions, and theorems in the book are illustrated with appropriate examples. Proofs shed additional light on the topic and enable students to sharpen thin problem-solving skills. Each chapter ends with a summary of important vocabulary, formulae, properties developed in the chapter, and list of selected references for further exploration and enrichment.
Author : PURNA CHANDRA BISWAL
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120350618
Total Pages : 750 pages
Book Rating : 4.1/5 (23 download)
Download or read book DISCRETE MATHEMATICS AND GRAPH THEORY written by PURNA CHANDRA BISWAL and published by PHI Learning Pvt. Ltd.. This book was released on 2015-10-21 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, now in its fourth 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 to the students of Mathematics and those pursuing courses in the areas of Computer Applications and Information Technology. New to the Fourth Edition • Introduces new section on Arithmetic Function in Chapter 9. • Elaborates enumeration of spanning trees of wheel graph, fan graph and ladder graph. • Redistributes most of the problems given in exercises section-wise. • Provides many additional definitions, theorems, examples and exercises. • Gives elaborate hints for solving exercise problems.
Author : Kevin Ferland
Publisher : CRC Press
ISBN 13 : 1498730671
Total Pages : 916 pages
Book Rating : 4.4/5 (987 download)
Download or read book Discrete Mathematics and Applications written by Kevin Ferland and published by CRC Press. This book was released on 2017-09-19 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics and Applications, Second Edition is intended for a one-semester course in discrete mathematics. Such a course is typically taken by mathematics, mathematics education, and computer science majors, usually in their sophomore year. Calculus is not a prerequisite to use this book. Part one focuses on how to write proofs, then moves on to topics in number theory, employing set theory in the process. Part two focuses on computations, combinatorics, graph theory, trees, and algorithms. Emphasizes proofs, which will appeal to a subset of this course market Links examples to exercise sets Offers edition that has been heavily reviewed and developed Focuses on graph theory Covers trees and algorithms
Author : Owen D. Byer
Publisher : American Mathematical Soc.
ISBN 13 : 1470446960
Total Pages : 388 pages
Book Rating : 4.4/5 (74 download)
Download or read book Journey into Discrete Mathematics written by Owen D. Byer and published by American Mathematical Soc.. This book was released on 2018-11-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Journey into Discrete Mathematics is designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The important ideas of discrete mathematics are included—logic, sets, proof writing, relations, counting, number theory, and graph theory—in a manner that promotes development of a mathematical mindset and prepares students for further study. While the treatment is designed to prepare the student reader for the mathematics major, the book remains attractive and appealing to students of computer science and other problem-solving disciplines. The exposition is exquisite and engaging and features detailed descriptions of the thought processes that one might follow to attack the problems of mathematics. The problems are appealing and vary widely in depth and difficulty. Careful design of the book helps the student reader learn to think like a mathematician through the exposition and the problems provided. Several of the core topics, including counting, number theory, and graph theory, are visited twice: once in an introductory manner and then again in a later chapter with more advanced concepts and with a deeper perspective. Owen D. Byer and Deirdre L. Smeltzer are both Professors of Mathematics at Eastern Mennonite University. Kenneth L. Wantz is Professor of Mathematics at Regent University. Collectively the authors have specialized expertise and research publications ranging widely over discrete mathematics and have over fifty semesters of combined experience in teaching this subject.
Author : Kenneth H. Rosen
Publisher :
ISBN 13 : 9780070681880
Total Pages : 0 pages
Book Rating : 4.6/5 (818 download)
Download or read book Discrete Mathematics and Its Applications written by Kenneth H. Rosen and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergei Kurgalin
Publisher : Springer
ISBN 13 : 3319926454
Total Pages : 491 pages
Book Rating : 4.3/5 (199 download)
Download or read book The Discrete Math Workbook written by Sergei Kurgalin and published by Springer. This book was released on 2018-07-31 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practically-oriented textbook presents an accessible introduction to discrete mathematics through a substantial collection of classroom-tested exercises. Each chapter opens with concise coverage of the theory underlying the topic, reviewing the basic concepts and establishing the terminology, as well as providing the key formulae and instructions on their use. This is then followed by a detailed account of the most common problems in the area, before the reader is invited to practice solving such problems for themselves through a varied series of questions and assignments. Topics and features: provides an extensive set of exercises and examples of varying levels of complexity, suitable for both laboratory practical training and self-study; offers detailed solutions to many problems, applying commonly-used methods and computational schemes; introduces the fundamentals of mathematical logic, the theory of algorithms, Boolean algebra, graph theory, sets, relations, functions, and combinatorics; presents more advanced material on the design and analysis of algorithms, including asymptotic analysis, and parallel algorithms; includes reference lists of trigonometric and finite summation formulae in an appendix, together with basic rules for differential and integral calculus. This hands-on study guide is designed to address the core needs of undergraduate students training in computer science, informatics, and electronic engineering, emphasizing the skills required to develop and implement an algorithm in a specific programming language.
Author : William Barnier
Publisher :
ISBN 13 : 9780314459664
Total Pages : 512 pages
Book Rating : 4.4/5 (596 download)
Download or read book Discrete Mathematics with Applications written by William Barnier and published by . This book was released on 1989 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to provide a strong mathematics background for computer science, engineering, and mathematics students. Topics in the text are drawn from logic, Boolean algebra, combinatorics, automata, and graph theory. A chapter on automata theory and formal languages is included along with programming notes using Pascal language constructions to show how programming and mathematics are related. Logic is introduced briefly in chapter one and then expanded upon in chapter four.
Author : Martin Aigner
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886151
Total Pages : 406 pages
Book Rating : 4.8/5 (861 download)
Download or read book Discrete Mathematics written by Martin Aigner and published by American Mathematical Soc.. This book was released on with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
