Foundations Of Discrete Mathematics

Author : K. D. Joshi
Publisher : New Age International
Page : 768 pages
File Size : 49,7 Mb
Release : 1989
Category : Mathematics
ISBN : 8122401201

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Foundations of Discrete Mathematics by K. D. Joshi Pdf

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.

Author : R. Balakrishnan,Sriraman Sridharan
Publisher : CRC Press
Page : 361 pages
File Size : 41,5 Mb
Release : 2018-10-26
Category : Mathematics
ISBN : 9781351019125

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Foundations of Discrete Mathematics with Algorithms and Programming by R. Balakrishnan,Sriraman Sridharan Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 55,5 Mb
Release : 2014
Category : Electronic
ISBN : 812243598X

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Foundations of Discrete Mathematics by Anonim Pdf

Author : Peter Fletcher,Hughes Hoyle,C. Wayne Patty
Publisher : Brooks/Cole
Page : 808 pages
File Size : 41,6 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015047346534

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Foundations of Discrete Mathematics by Peter Fletcher,Hughes Hoyle,C. Wayne Patty Pdf

Author : Calvin Jongsma
Publisher : Springer Nature
Page : 482 pages
File Size : 44,7 Mb
Release : 2019-11-08
Category : Mathematics
ISBN : 9783030253585

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Introduction to Discrete Mathematics via Logic and Proof by Calvin Jongsma Pdf

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.

Author : DEXTER J. BOOTH
Publisher : Springer
Page : 311 pages
File Size : 48,6 Mb
Release : 2013-12-19
Category : Computers
ISBN : 9781489971142

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Foundation Discrete Mathematics for Computing by DEXTER J. BOOTH Pdf

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 55,5 Mb
Release : 2018-07-30
Category : Electronic
ISBN : 1724572636

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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 : Albert D. Polimeni,H. Joseph Straight
Publisher : Arden Shakespeare
Page : 519 pages
File Size : 52,9 Mb
Release : 1990
Category : Mathematics
ISBN : 0534981852

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Foundations of Discrete Mathematics by Albert D. Polimeni,H. Joseph Straight Pdf

Author : Gary Haggard,John Schlipf,Sue Whitesides
Publisher : Cengage Learning
Page : 0 pages
File Size : 50,8 Mb
Release : 2006
Category : Computers
ISBN : 053449501X

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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 : Jean Gallier
Publisher : Springer Science & Business Media
Page : 466 pages
File Size : 54,5 Mb
Release : 2011-02-01
Category : Mathematics
ISBN : 9781441980472

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Discrete Mathematics by Jean Gallier Pdf

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.

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 : 40,8 Mb
Release : 2012-08-21
Category : Computer science
ISBN : 1256389218

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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 : Neville Dean
Publisher : Unknown
Page : 212 pages
File Size : 47,8 Mb
Release : 1997
Category : Computers
ISBN : 0133459438

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The Essence of Discrete Mathematics by Neville Dean Pdf

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.

Author : Amanda Chetwynd,Peter Diggle
Publisher : Elsevier
Page : 224 pages
File Size : 41,7 Mb
Release : 1995-09-17
Category : Mathematics
ISBN : 9780080928609

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Discrete Mathematics by Amanda Chetwynd,Peter Diggle Pdf

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 : W.D. Wallis
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 54,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475738261

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A Beginner’s Guide to Discrete Mathematics by W.D. Wallis Pdf

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 : László Lovász,József Pelikán,Katalin Vesztergombi
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 47,9 Mb
Release : 2006-05-10
Category : Mathematics
ISBN : 9780387217772

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Discrete Mathematics by László Lovász,József Pelikán,Katalin Vesztergombi Pdf

Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.