Foundations Of Discrete Mathematics

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Foundations of Discrete Mathematics

Author : K. D. Joshi
Publisher : New Age International
ISBN 13 : 9788122401202
Total Pages : 768 pages
Book Rating : 4.4/5 (12 download)

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Book Synopsis Foundations of Discrete Mathematics by : K. D. Joshi

Download or read book Foundations of Discrete Mathematics written by K. D. Joshi and published by New Age International. This book was released on 1989 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Is Meant To Be More Than Just A Text In Discrete Mathematics. It Is A Forerunner Of Another Book Applied Discrete Structures By The Same Author. The Ultimate Goal Of The Two Books Are To Make A Strong Case For The Inclusion Of Discrete Mathematics In The Undergraduate Curricula Of Mathematics By Creating A Sequence Of Courses In Discrete Mathematics Parallel To The Traditional Sequence Of Calculus-Based Courses.The Present Book Covers The Foundations Of Discrete Mathematics In Seven Chapters. It Lays A Heavy Emphasis On Motivation And Attempts Clarity Without Sacrificing Rigour. A List Of Typical Problems Is Given In The First Chapter. These Problems Are Used Throughout The Book To Motivate Various Concepts. A Review Of Logic Is Included To Gear The Reader Into A Proper Frame Of Mind. The Basic Counting Techniques Are Covered In Chapters 2 And 7. Those In Chapter 2 Are Elementary. But They Are Intentionally Covered In A Formal Manner So As To Acquaint The Reader With The Traditional Definition-Theorem-Proof Pattern Of Mathematics. Chapters 3 Introduces Abstraction And Shows How The Focal Point Of Todays Mathematics Is Not Numbers But Sets Carrying Suitable Structures. Chapter 4 Deals With Boolean Algebras And Their Applications. Chapters 5 And 6 Deal With More Traditional Topics In Algebra, Viz., Groups, Rings, Fields, Vector Spaces And Matrices.The Presentation Is Elementary And Presupposes No Mathematical Maturity On The Part Of The Reader. Instead, Comments Are Inserted Liberally To Increase His Maturity. Each Chapter Has Four Sections. Each Section Is Followed By Exercises (Of Various Degrees Of Difficulty) And By Notes And Guide To Literature. Answers To The Exercises Are Provided At The End Of The Book.

Foundations of Discrete Mathematics with Algorithms and Programming

Author : R. Balakrishnan
Publisher : CRC Press
ISBN 13 : 1351019120
Total Pages : 361 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Foundations of Discrete Mathematics with Algorithms and Programming by : R. Balakrishnan

Download or read book Foundations of Discrete Mathematics with Algorithms and Programming written by R. Balakrishnan and published by CRC Press. This book was released on 2018-10-26 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics has permeated the whole of mathematics so much so it has now come to be taught even at the high school level. This book presents the basics of Discrete Mathematics and its applications to day-to-day problems in several areas. This book is intended for undergraduate students of Computer Science, Mathematics and Engineering. A number of examples have been given to enhance the understanding of concepts. The programming languages used are Pascal and C.

Foundations of Discrete Mathematics

Author :
Publisher :
ISBN 13 : 9788122435986
Total Pages : 0 pages
Book Rating : 4.4/5 (359 download)

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Book Synopsis Foundations of Discrete Mathematics by :

Download or read book Foundations of Discrete Mathematics written by and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Essence of Discrete Mathematics

Author : Neville Dean
Publisher :
ISBN 13 : 9780133459432
Total Pages : 212 pages
Book Rating : 4.4/5 (594 download)

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Book Synopsis The Essence of Discrete Mathematics by : Neville Dean

Download or read book The Essence of Discrete Mathematics written by Neville Dean and published by . This book was released on 1997 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a gentle introduction to all the basics of discrete mathematics, this book introduces sets, propositional logic, predicate logic, and mathematical models. It discusses relations, including homogeneous relations.

Discrete Mathematics

Author : Jean Gallier
Publisher : Springer Science & Business Media
ISBN 13 : 1441980474
Total Pages : 466 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Discrete Mathematics by : Jean Gallier

Download or read book Discrete Mathematics written by Jean Gallier and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with functions and relations, directed and undirected graphs, and an introduction to combinatorics. There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow min-cut theorem. We also discuss matchings, covering, bipartite graphs.

Fundamentals of Discrete Structures

Author : Damian M. Lyons
Publisher :
ISBN 13 : 9781256389217
Total Pages : 0 pages
Book Rating : 4.3/5 (892 download)

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Book Synopsis Fundamentals of Discrete Structures by : Damian M. Lyons

Download or read book Fundamentals of Discrete Structures written by Damian M. Lyons and published by . This book was released on 2012-08-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Mathematics

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724572639
Total Pages : 238 pages
Book Rating : 4.5/5 (726 download)

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Book Synopsis Discrete Mathematics by : Oscar Levin

Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Foundation Discrete Mathematics for Computing

Author : DEXTER J. BOOTH
Publisher : Springer
ISBN 13 : 1489971149
Total Pages : 311 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Foundation Discrete Mathematics for Computing by : DEXTER J. BOOTH

Download or read book Foundation Discrete Mathematics for Computing written by DEXTER J. BOOTH and published by Springer. This book was released on 2013-12-19 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Discrete Mathematics via Logic and Proof

Author : Calvin Jongsma
Publisher : Springer Nature
ISBN 13 : 3030253589
Total Pages : 482 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Introduction to Discrete Mathematics via Logic and Proof by : Calvin Jongsma

Download or read book Introduction to Discrete Mathematics via Logic and Proof written by Calvin Jongsma and published by Springer Nature. This book was released on 2019-11-08 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades. Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include: Mathematical and structural induction Set theory Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.

Concrete Mathematics

Author : Ronald L. Graham
Publisher : Addison-Wesley Professional
ISBN 13 : 0134389980
Total Pages : 811 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Concrete Mathematics by : Ronald L. Graham

Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

Discrete Mathematics for Computer Science

Author : Gary Haggard
Publisher : Cengage Learning
ISBN 13 : 9780534495015
Total Pages : 0 pages
Book Rating : 4.4/5 (95 download)

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Book Synopsis Discrete Mathematics for Computer Science by : Gary Haggard

Download or read book Discrete Mathematics for Computer Science written by Gary Haggard and published by Cengage Learning. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Foundations of Discrete Mathematics

Author : Peter Fletcher
Publisher : Brooks/Cole
ISBN 13 :
Total Pages : 808 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Foundations of Discrete Mathematics by : Peter Fletcher

Download or read book Foundations of Discrete Mathematics written by Peter Fletcher and published by Brooks/Cole. This book was released on 1991 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Maturity via Discrete Mathematics

Author : Vadim Ponomarenko
Publisher : Courier Dover Publications
ISBN 13 : 0486838579
Total Pages : 274 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Mathematical Maturity via Discrete Mathematics by : Vadim Ponomarenko

Download or read book Mathematical Maturity via Discrete Mathematics written by Vadim Ponomarenko and published by Courier Dover Publications. This book was released on 2019-11-13 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward undergraduate majors in math, computer science, and computer engineering, this text employs discrete mathematics to introduce basic knowledge of proof techniques. Exercises with hints. 2019 edition.

Discrete Mathematics with Proof

Author : Eric Gossett
Publisher : John Wiley & Sons
ISBN 13 : 0470457937
Total Pages : 932 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Discrete Mathematics with Proof by : Eric Gossett

Download or read book Discrete Mathematics with Proof written by Eric Gossett and published by John Wiley & Sons. This book was released on 2009-06-22 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Trusted Guide to Discrete Mathematics with Proof?Now in a Newly Revised Edition 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. The book begins with an introductory chapter that provides an accessible explanation of discrete mathematics. Subsequent chapters explore additional related topics including counting, finite probability theory, recursion, formal models in computer science, graph theory, trees, the concepts of functions, and relations. Additional features of the Second Edition include: An intense focus on the formal settings of proofs and their techniques, such as constructive proofs, proof by contradiction, and combinatorial proofs New sections on applications of elementary number theory, multidimensional induction, counting tulips, and the binomial distribution Important examples from the field of computer science presented as applications including the Halting problem, Shannon's mathematical model of information, regular expressions, XML, and Normal Forms in relational databases Numerous examples that are not often found in books on discrete mathematics including the deferred acceptance algorithm, the Boyer-Moore algorithm for pattern matching, Sierpinski curves, adaptive quadrature, the Josephus problem, and the five-color theorem Extensive appendices that outline supplemental material on analyzing claims and writing mathematics, along with solutions to selected chapter exercises Combinatorics receives a full chapter treatment that extends beyond the combinations and permutations material by delving into non-standard topics such as Latin squares, finite projective planes, balanced incomplete block designs, coding theory, partitions, occupancy problems, Stirling numbers, Ramsey numbers, and systems of distinct representatives. A related Web site features animations and visualizations of combinatorial proofs that assist readers with comprehension. In addition, approximately 500 examples and over 2,800 exercises are presented throughout the book to motivate ideas and illustrate the proofs and conclusions of theorems. 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.

Discrete Mathematics

Author : Amanda Chetwynd
Publisher : Elsevier
ISBN 13 : 0080928609
Total Pages : 224 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Discrete Mathematics by : Amanda Chetwynd

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 224 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.

Discrete Mathematics and Computing

Author : Malik Magdon-Ismail
Publisher :
ISBN 13 : 9780578567877
Total Pages : pages
Book Rating : 4.5/5 (678 download)

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Book Synopsis Discrete Mathematics and Computing by : Malik Magdon-Ismail

Download or read book Discrete Mathematics and Computing written by Malik Magdon-Ismail and published by . This book was released on 2019-12-14 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a semester course in the basic mathematical and theoretical foundations of computer science. Students who make heavy use of computing should learn these foundations well, setting a base for a follow-on course in algorithms. A solid theoretical and algorithmic foundation in computer science sets the stage for developing good programs, programs that work, always and efficiently.Each chapter is a lecture that has been taught as such. Part I starts with basic logic, proofs and discrete mathematics, including: induction, recursion, summation, asymptotics and number theory. We then continue with graphs, counting and combinatorics, and wrap up the coverage of discrete mathematics with discrete probability. Part II presents the blockbuster application of discrete mathematics: the digital computer and a theory of computing. The goal is to understand what a computer can and cannot do. We start small, with automata, and end big with Turing Machines.Our approach is Socratic. The reader is encouraged to participate actively in the learning process by doing the quizzes and exercises that are liberally sprinkled through the text. The pace and level is appropriate for readers with one year of training in programming and calculus (college sophomores).

Discrete Mathematics and Functional Programming

Author : Thomas VanDrunen
Publisher : Franklin Beedle & Associates
ISBN 13 : 9781590282601
Total Pages : 670 pages
Book Rating : 4.2/5 (826 download)

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Book Synopsis Discrete Mathematics and Functional Programming by : Thomas VanDrunen

Download or read book Discrete Mathematics and Functional Programming written by Thomas VanDrunen and published by Franklin Beedle & Associates. This book was released on 2013 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ......