Fundamentals Of Discrete Mathematical Structures

Author : K. R. CHOWDHARY
Publisher : PHI Learning Pvt. Ltd.
Page : 360 pages
File Size : 55,6 Mb
Release : 2015-01-02
Category : Mathematics
ISBN : 9788120350748

Get Book

FUNDAMENTALS OF DISCRETE MATHEMATICAL STRUCTURES by K. R. CHOWDHARY Pdf

This updated text, now in its Third Edition, continues to provide the basic concepts of discrete mathematics and its applications at an appropriate level of rigour. The text teaches mathematical logic, discusses how to work with discrete structures, analyzes combinatorial approach to problem-solving and develops an ability to create and understand mathematical models and algorithms essentials for writing computer programs. Every concept introduced in the text is first explained from the point of view of mathematics, followed by its relation to Computer Science. In addition, it offers excellent coverage of graph theory, mathematical reasoning, foundational material on set theory, relations and their computer representation, supported by a number of worked-out examples and exercises to reinforce the students’ skill. Primarily intended for undergraduate students of Computer Science and Engineering, and Information Technology, this text will also be useful for undergraduate and postgraduate students of Computer Applications. New to this Edition Incorporates many new sections and subsections such as recurrence relations with constant coefficients, linear recurrence relations with and without constant coefficients, rules for counting and shorting, Peano axioms, graph connecting, graph scanning algorithm, lexicographic shorting, chains, antichains and order-isomorphism, complemented lattices, isomorphic order sets, cyclic groups, automorphism groups, Abelian groups, group homomorphism, subgroups, permutation groups, cosets, and quotient subgroups. Includes many new worked-out examples, definitions, theorems, exercises, and GATE level MCQs with answers.

Author : Gary Haggard,John Schlipf,Sue Whitesides
Publisher : Cengage Learning
Page : 0 pages
File Size : 53,6 Mb
Release : 2006
Category : Computers
ISBN : 053449501X

Get Book

Discrete Mathematics for Computer Science by Gary Haggard,John Schlipf,Sue Whitesides Pdf

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.

Author : G. Shanker Rao
Publisher : New Age International
Page : 43 pages
File Size : 53,5 Mb
Release : 2007-12-31
Category : Mathematical ability
ISBN : 9788122426694

Get Book

Discrete Mathematical Structures by G. Shanker Rao Pdf

About the Book: This text can be used by the students of mathematics and computer science as an introduction to the fundamentals of discrete mathematics. The book is designed in accordance with the syllabi of B.E., B. Tech., MCA and M.Sc. (Computer Science) prescribed in most of the universities of India. Each chapter is supplemented with a number of worked example as well as a number of problems to be solved by the students. This would help in a better understanding of the subject. Contents: Mathematical Logic Set Theory Relations Functions and Recurrence Relations Boolean Algebra Logic Gates Elementary Combinatorics Graph Theory Algebraic Structures Finite State Machines

Author : Tom Jenkyns,Ben Stephenson
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 43,9 Mb
Release : 2012-10-16
Category : Computers
ISBN : 9781447140696

Get Book

Fundamentals of Discrete Math for Computer Science by Tom Jenkyns,Ben Stephenson Pdf

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.

Author : Bernard Kolman,Robert C. Busby
Publisher : Prentice Hall
Page : 488 pages
File Size : 45,6 Mb
Release : 1987
Category : Computer science
ISBN : UCSC:32106007549386

Get Book

Discrete Mathematical Structures for Computer Science by Bernard Kolman,Robert C. Busby Pdf

This text has been designed as a complete introduction to discrete mathematics, primarily for computer science majors in either a one or two semester course. The topics addressed are of genuine use in computer science, and are presented in a logically coherent fashion. The material has been organized and interrelated to minimize the mass of definitions and the abstraction of some of the theory. For example, relations and directed graphs are treated as two aspects of the same mathematical idea. Whenever possible each new idea uses previously encountered material, and then developed in such a way that it simplifies the more complex ideas that follow.

Author : Chowdhary
Publisher : PHI Learning Pvt. Ltd.
Page : 273 pages
File Size : 41,8 Mb
Release : 2008
Category : Computer science
ISBN : 8120333322

Get Book

Fundamentals Of Discrete Mathematical Structures by Chowdhary Pdf

Author : Ken Levasseur,Al Doerr
Publisher : Lulu.com
Page : 574 pages
File Size : 47,8 Mb
Release : 2012-02-25
Category : Applied mathematics
ISBN : 9781105559297

Get Book

Applied Discrete Structures by Ken Levasseur,Al Doerr Pdf

Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.

Author : Damian M. Lyons,Gary M. Weiss,Christina Papadakis-Kanaris,Arthur G. Werschulz,Associate Professor of Mathematics and Computer Science Fordham University Visiting Scholar Arthur G Werschulz
Publisher : Unknown
Page : 0 pages
File Size : 49,5 Mb
Release : 2012-08-21
Category : Computer science
ISBN : 1256389218

Get Book

Fundamentals of Discrete Structures by Damian M. Lyons,Gary M. Weiss,Christina Papadakis-Kanaris,Arthur G. Werschulz,Associate Professor of Mathematics and Computer Science Fordham University Visiting Scholar Arthur G Werschulz Pdf

Normal 0 false false false EN-US X-NONE X-NONE Selecting a mathematics textbook that meets the needs of a diverse student body can be a challenge. Some have too much information for a beginner; some have too little. The authors of Fundamentals of Discrete Structures, frustrated by their search for the perfect text, decided to write their own. The result provides an excellent introduction to discrete mathematics that is both accessible to liberal arts majors satisfying their core mathematics requirements, and also challenging enough to engage math and computer science majors. To engage students who may not be comfortable with traditional mathematics texts, the book uses a light tone when introducing new concepts. While there is an emphasis on computation, it avoids mathematical formalism and formal proofs, thus making it easier for the average student to understand. Unlike other textbooks in this field, Fundamentals of Discrete Structures strikes just the right balance: it illuminates the essentials of discrete mathematics while still providing a comprehensive treatment of the subject matter.

Author : Bernard Kolman,Robert C. Busby,Sharon Cutler Ross
Publisher : Unknown
Page : 1238 pages
File Size : 47,9 Mb
Release : 1996
Category : Computer science
ISBN : STANFORD:36105018466149

Get Book

Discrete Mathematical Structures by Bernard Kolman,Robert C. Busby,Sharon Cutler Ross Pdf

This is the only discrete math text that has a thread holding the various topics together. One of the shortest books on the market. New to this edition: stronger coverage of logic, graphs, and trees. Also includes special student projects.

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 49,9 Mb
Release : 2018-07-30
Category : Electronic
ISBN : 1724572636

Get Book

Discrete Mathematics by Oscar Levin Pdf

Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.

Author : Robert Clark Penner
Publisher : World Scientific Publishing Company
Page : 487 pages
File Size : 44,9 Mb
Release : 1999-10-19
Category : Mathematics
ISBN : 9789813105614

Get Book

Discrete Mathematics - Proof Techniques And Mathematical Structures by Robert Clark Penner Pdf

This book offers an introduction to mathematical proofs and to the fundamentals of modern mathematics. No real prerequisites are needed other than a suitable level of mathematical maturity. The text is divided into two parts, the first of which constitutes the core of a one-semester course covering proofs, predicate calculus, set theory, elementary number theory, relations, and functions, and the second of which applies this material to a more advanced study of selected topics in pure mathematics, applied mathematics, and computer science, specifically cardinality, combinatorics, finite-state automata, and graphs. In both parts, deeper and more interesting material is treated in optional sections, and the text has been kept flexible by allowing many different possible courses or emphases based upon different paths through the volume.

Author : Vermani Lekh Rej,Vermani Shalini
Publisher : World Scientific
Page : 640 pages
File Size : 40,9 Mb
Release : 2012-01-13
Category : Mathematics
ISBN : 9781911298625

Get Book

A Course In Discrete Mathematical Structures by Vermani Lekh Rej,Vermani Shalini Pdf

This book provides a broad introduction to some of the most fascinating and beautiful areas of discrete mathematical structures. It starts with a chapter on sets and goes on to provide examples in logic, applications of the principle of inclusion and exclusion and finally the pigeonhole principal. Computational techniques including the principle of mathematical introduction are provided, as well as a study on elementary properties of graphs, trees and lattices. Some basic results on groups, rings, fields and vector spaces are also given, the treatment of which is intentionally simple since such results are fundamental as a foundation for students of discrete mathematics. In addition, some results on solutions of systems of linear equations are discussed./a

Author : Jayant Ganguly
Publisher : Unknown
Page : 873 pages
File Size : 51,7 Mb
Release : 2008-01-01
Category : Electronic
ISBN : 8188849227

Get Book

A Treatise On Discrete Mathematical Structures by Jayant Ganguly Pdf

A Treatise on Discrete Mathematical Structures has been designed to build a foundation of the type of mathematical thinking that is required to be built at the basic level. The approach chosen is comprehensive while maintaining an easy to follow progression from the basic mathematical concepts covered by high school algebra to the more sophisticated concepts. The rigorous treatment of theory is augmented by numerous examples (SP : Solved Problem). This is then reinforced by exercises (EP : Exercise Problem) at the end of each chapter. Further, for the exercise problems whose serial number is in bold face letter, a hint or solution is provided in the corresponding answer section. Although this treatise aims at the learners of computer science, it can very well be used by anyone who requires an understanding of discrete mathematical concepts. Features The presentation style of each chapter resembles that as done in a classroom. The book is intended for anybody interested in the subject. Prerequisite requirement is mostly high school mathematics. Each chapter begins with an outline of the topics covered in the book. Contains a large number of examples with steps over-simplified. Each chapter ends with a chapter summary under the heading RECAP. A large number of practice problems are included with sufficient hints. Many new results from recently published papers are incorporated. A number of exhaustive appendices are included for those interested. A problem bank is included containing problems from Mathematical Tripods examination. The book is user friendly and Diffi cult situations are illustrated with diagrams. Some interesting non mathematical but related topics are discussed in brief. Contents Set Theory Relations Functions Mathematical Induction Recursive Definitions probability and Counting Elementary Concepts Fundamentals of Logic Groups coding Theory- An Introduction Elementary Number Theory Rings Graph Theory Basic Formulas Matrices and Determinants and Some Results Series and their Summing Techniques-An Introduction Stable Graphs-A Note Problem Bank List of Symbols.

Author : Bernard Kolman,Robert C. Busby,Sharon Cutler Ross
Publisher : Unknown
Page : 536 pages
File Size : 40,5 Mb
Release : 2000
Category : Computer science
ISBN : UCSD:31822028155356

Get Book

Discrete Mathematical Structures by Bernard Kolman,Robert C. Busby,Sharon Cutler Ross Pdf

For one/two-term, freshman/sophomore-level courses in Discrete Mathematics. More than any other book in the field, this text ties together discrete topics with a theme. Written at an appropriate level of rigor with a strong pedagogical focus it limits depth of coverage and areas covered to topics of genuine use in computer science. An emphasis on both basic theory and applications provides students with a firm foundation for more advanced courses.

Author : Bernard Kolman,Robert C. Busby,Sharon Cutler Ross
Publisher : Prentice Hall
Page : 536 pages
File Size : 43,8 Mb
Release : 2004
Category : Computer science
ISBN : UCSD:31822033543091

Get Book

Discrete Mathematical Structures by Bernard Kolman,Robert C. Busby,Sharon Cutler Ross Pdf

Combining a careful selection of topics with coverage of theirgenuineapplications in computer science, this book, more than any other in this field, is clearly and concisely written, presenting the basic ideas of discrete mathematical structures in a manner that is understandable.Limiting its scope and depth of topics to those that readers can actually utilize, this book covers first the fundamentals, then follows with logic, counting, relations and digraphs, functions, order relations and structures, trees, graph theory, semigroups and groups, languages and finite-state machines, and groups and coding.With its comprehensive appendices and index, this book can be an excellent reference work for mathematicians and those in the field of computer science.