Discrete Mathematics With Ducks

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Discrete Mathematics with Ducks

sarah-marie belcastro
Discrete Mathematics with Ducks Book PDF

Author : sarah-marie belcastro
Publisher : CRC Press
Page : 582 pages
File Size : 43,9 Mb
Release : 2012-06-21
Category : Computers
ISBN : 9781466504998

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Discrete Mathematics with Ducks by sarah-marie belcastro Pdf

Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. This classroom-tested text uses discrete mathematics as the context for introducing proofwriting. Facilitating effective and active learning, each chapter contains a mixture of discovery activities, expository text, in-class exercises, and homework problems. Elementary exercises at the end of each expository section prompt students to review the material Try This! sections encourage students to construct fundamental components of the concepts, theorems, and proofs discussed. Sets of discovery problems and illustrative examples reinforce learning. Bonus sections can be used for take-home exams, projects, or further study Instructor Notes sections offer suggestions on how to use the material in each chapter Discrete Mathematics with Ducks offers students a diverse introduction to the field and a solid foundation for further study in discrete mathematics and complies with SIGCSE guidelines. The book shows how combinatorics and graph theory are used in both computer science and mathematics.

Discrete Mathematics

Oscar Levin
Discrete Mathematics Book PDF

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 45,8 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.

Discrete Mathematics

László Lovász,József Pelikán,Katalin Vesztergombi
Discrete Mathematics Book PDF

Author : László Lovász,József Pelikán,Katalin Vesztergombi
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 40,8 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.

Introductory Discrete Mathematics

V. K . Balakrishnan
Introductory Discrete Mathematics Book PDF

Author : V. K . Balakrishnan
Publisher : Courier Corporation
Page : 260 pages
File Size : 49,5 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486140384

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Introductory Discrete Mathematics by V. K . Balakrishnan Pdf

This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.

Discrete Structures and Their Interactions

Jason I. Brown
Discrete Structures and Their Interactions Book PDF

Author : Jason I. Brown
Publisher : CRC Press
Page : 214 pages
File Size : 53,8 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9781466579422

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Discrete Structures and Their Interactions by Jason I. Brown Pdf

Discover the Connections between Different Structures and FieldsDiscrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics,

Student Handbook for Discrete Mathematics with Ducks

Sarah-Marie Belcastro
Student Handbook for Discrete Mathematics with Ducks Book PDF

Author : Sarah-Marie Belcastro
Publisher : A K PETERS
Page : 128 pages
File Size : 47,5 Mb
Release : 2017-08-02
Category : Electronic
ISBN : 1138435856

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Student Handbook for Discrete Mathematics with Ducks by Sarah-Marie Belcastro Pdf

Student Handbook for Discrete Mathematics with Ducks is a Student Reference, Review, Supplemental Learning, and Example Handbook (SRRSLEH) that mirrors the content of the author�s popular textbook Discrete Mathematics with Ducks (DMwD). This handbook provides a review of key material, illustrative examples, and new problems with accompanying solutions that are helpful even for those using a traditional discrete mathematics textbook. Every chapter in SRRSLEH matches the corresponding chapter of DMwD. Chapters in SRRSLEH contain the following: A list of the notation introduced in the corresponding chapter A list of definitions that students need to know from the corresponding chapter Theorems/facts of note appearing in the corresponding chapter A list of proof techniques introduced, with templates and/or examples given for each one A selection of examples from DMwD, written out formally and briefly rather than colloquially as in DMwD A quick refresher for any discrete math student, this handbook enables students to find information easily and reminds them of the terms and results they should know during their course. Read reviews of DMwD.

Applied Discrete Structures

Ken Levasseur,Al Doerr
Applied Discrete Structures Book PDF

Author : Ken Levasseur,Al Doerr
Publisher : Lulu.com
Page : 574 pages
File Size : 43,6 Mb
Release : 2012-02-25
Category : Applied mathematics
ISBN : 9781105559297

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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.

A Short Course in Discrete Mathematics

Edward A. Bender,S. Gill Williamson
A Short Course in Discrete Mathematics Book PDF

Author : Edward A. Bender,S. Gill Williamson
Publisher : Courier Corporation
Page : 258 pages
File Size : 53,6 Mb
Release : 2005-01-01
Category : Mathematics
ISBN : 9780486439464

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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.

A Beginner’s Guide to Discrete Mathematics

W.D. Wallis
A Beginner s Guide to Discrete Mathematics Book PDF

Author : W.D. Wallis
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 49,8 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.

A Logical Approach to Discrete Math

David Gries,Fred B. Schneider
A Logical Approach to Discrete Math Book PDF

Author : David Gries,Fred B. Schneider
Publisher : Springer Science & Business Media
Page : 517 pages
File Size : 50,6 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9781475738377

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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.

Essential Discrete Mathematics for Computer Science

Harry Lewis,Rachel Zax
Essential Discrete Mathematics for Computer Science Book PDF

Author : Harry Lewis,Rachel Zax
Publisher : Princeton University Press
Page : 408 pages
File Size : 49,6 Mb
Release : 2019-03-19
Category : Computers
ISBN : 9780691179292

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Essential Discrete Mathematics for Computer Science by Harry Lewis,Rachel Zax Pdf

Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises.

Discrete Mathematics in the Schools

Joseph G. Rosenstein
Discrete Mathematics in the Schools Book PDF

Author : Joseph G. Rosenstein
Publisher : American Mathematical Soc.
Page : 489 pages
File Size : 53,6 Mb
Release : 1997
Category : Mathematics
ISBN : 9780821811375

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Discrete Mathematics in the Schools by Joseph G. Rosenstein Pdf

A collection of articles written by experienced primary, secondary, and collegiate educators. It explains why discrete mathematics should be taught in K-12 classrooms and offers guidance on how to do so. It offers school and district curriculum leaders material that addresses how discrete mathematics can be introduced into their curricula.

Connections in Discrete Mathematics

Steve Butler,Joshua Cooper,Glenn Hurlbert
Connections in Discrete Mathematics Book PDF

Author : Steve Butler,Joshua Cooper,Glenn Hurlbert
Publisher : Cambridge University Press
Page : 367 pages
File Size : 55,7 Mb
Release : 2018-06-14
Category : Mathematics
ISBN : 9781107153981

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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.

Discrete Mathematics

Jean Gallier
Discrete Mathematics Book PDF

Author : Jean Gallier
Publisher : Springer Science & Business Media
Page : 466 pages
File Size : 42,8 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.

Discrete Mathematics in Statistical Physics

Martin Loebl
Discrete Mathematics in Statistical Physics Book PDF

Author : Martin Loebl
Publisher : Springer Science & Business Media
Page : 187 pages
File Size : 41,6 Mb
Release : 2010-02-16
Category : Science
ISBN : 9783834893291

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Discrete Mathematics in Statistical Physics by Martin Loebl Pdf

The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently. It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers.