A Short Course In Discrete Mathematics

Author : Edward A. Bender,S. Gill Williamson
Publisher : Courier Corporation
Page : 258 pages
File Size : 52,8 Mb
Release : 2005-01-01
Category : Mathematics
ISBN : 9780486439464

Get Book

A Short Course in Discrete Mathematics by Edward A. Bender,S. Gill Williamson Pdf

What sort of mathematics do I need for computer science? In response to this frequently asked question, a pair of professors at the University of California at San Diego created this text. Its sources are two of the university's most basic courses: Discrete Mathematics, and Mathematics for Algorithm and System Analysis. Intended for use by sophomores in the first of a two-quarter sequence, the text assumes some familiarity with calculus. Topics include Boolean functions and computer arithmetic; logic; number theory and cryptography; sets and functions; equivalence and order; and induction, sequences, and series. Multiple choice questions for review appear throughout the text. Original 2005 edition. Notation Index. Subject Index.

Author : Vermani Lekh Rej,Vermani Shalini
Publisher : World Scientific
Page : 640 pages
File Size : 45,5 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 : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 41,8 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 : John C. Molluzzo,Fred Buckley
Publisher : Waveland Press
Page : 507 pages
File Size : 46,7 Mb
Release : 1997-01-28
Category : Mathematics
ISBN : 9781478634393

Get Book

A First Course in Discrete Mathematics by John C. Molluzzo,Fred Buckley Pdf

This highly regarded work fills the need for a treatment of elementary discrete mathematics that provides a core of mathematical terminology and concepts as well as emphasizes computer applications. Includes numerous elementary applications to computing and examples with solutions.

Author : Kevin Ferland
Publisher : CRC Press
Page : 916 pages
File Size : 42,8 Mb
Release : 2017-09-19
Category : Computers
ISBN : 9781498730679

Get Book

Discrete Mathematics and Applications by Kevin Ferland Pdf

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 : Ken Levasseur,Al Doerr
Publisher : Lulu.com
Page : 574 pages
File Size : 47,7 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 : Gary Haggard,John Schlipf,Sue Whitesides
Publisher : Cengage Learning
Page : 0 pages
File Size : 43,6 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 : David Gries,Fred B. Schneider
Publisher : Springer Science & Business Media
Page : 517 pages
File Size : 54,7 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9781475738377

Get Book

A Logical Approach to Discrete Math by David Gries,Fred B. Schneider Pdf

Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.

Author : Ian Anderson
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780857293152

Get Book

A First Course in Discrete Mathematics by Ian Anderson Pdf

Drawing on many years'experience of teaching discrete mathem atics to students of all levels, Anderson introduces such as pects as enumeration, graph theory and configurations or arr angements. Starting with an introduction to counting and rel ated problems, he moves on to the basic ideas of graph theor y with particular emphasis on trees and planar graphs. He de scribes the inclusion-exclusion principle followed by partit ions of sets which in turn leads to a study of Stirling and Bell numbers. Then follows a treatment of Hamiltonian cycles, Eulerian circuits in graphs, and Latin squares as well as proof of Hall's theorem. He concludes with the constructions of schedules and a brief introduction to block designs. Each chapter is backed by a number of examples, with straightforw ard applications of ideas and more challenging problems.

Author : Brian Lian
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 50,6 Mb
Release : 2000-10-27
Category : Mathematics
ISBN : 1852332360

Get Book

A First Course in Discrete Mathematics by Brian Lian Pdf

Drawing on many years'experience of teaching discrete mathem atics to students of all levels, Anderson introduces such as pects as enumeration, graph theory and configurations or arr angements. Starting with an introduction to counting and rel ated problems, he moves on to the basic ideas of graph theor y with particular emphasis on trees and planar graphs. He de scribes the inclusion-exclusion principle followed by partit ions of sets which in turn leads to a study of Stirling and Bell numbers. Then follows a treatment of Hamiltonian cycles, Eulerian circuits in graphs, and Latin squares as well as proof of Hall's theorem. He concludes with the constructions of schedules and a brief introduction to block designs. Each chapter is backed by a number of examples, with straightforw ard applications of ideas and more challenging problems.

Author : Oscar Levin
Publisher : Unknown
Page : 408 pages
File Size : 50,7 Mb
Release : 2018-12-31
Category : Mathematics
ISBN : 1792901690

Get Book

Discrete Mathematics by Oscar Levin Pdf

Note: This is the 3rd edition. If you need the 2nd edition for a course you are taking, it can be found as a "other format" on amazon, or by searching its isbn: 1534970746 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. The book contains over 470 exercises, including 275 with solutions and over 100 with hints. There are also Investigate! activities throughout the text to support active, inquiry based learning. 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. This third edition brings improved exposition, a new section on trees, and a bunch of new and improved exercises. For a complete list of changes, and to view the free electronic version of the text, visit the book's website at discrete.openmathbooks.org

Author : Molluzzo
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 2024-05-13
Category : Electronic
ISBN : 0534053114

Get Book

First Course in Discrete Math by Molluzzo Pdf

Author : American Mathematical Society. Short Course, Discrete Differential Geometry
Publisher : American Mathematical Soc.
Page : 140 pages
File Size : 47,8 Mb
Release : 2020-09-02
Category : Education
ISBN : 9781470446628

Get Book

An Excursion Through Discrete Differential Geometry by American Mathematical Society. Short Course, Discrete Differential Geometry Pdf

Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees. This volume is based on lectures delivered at the 2018 AMS Short Course ``Discrete Differential Geometry,'' held January 8-9, 2018, in San Diego, California. The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.

Author : Tom Jenkyns,Ben Stephenson
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 43,7 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 : Steve Butler,Joshua Cooper,Glenn Hurlbert
Publisher : Cambridge University Press
Page : 367 pages
File Size : 47,6 Mb
Release : 2018-06-14
Category : Mathematics
ISBN : 9781107153981

Get Book

Connections in Discrete Mathematics by Steve Butler,Joshua Cooper,Glenn Hurlbert Pdf

Many of the best researchers and writers in discrete mathematics come together in a volume inspired by Ron Graham.