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Discrete Mathematics With Applications

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Discrete Mathematics with Applications

Discrete Mathematics with Applications Book
Author : Susanna S. Epp
Publisher : Cengage Learning
Release : 2018-12-17
ISBN : 0357035283
Language : En, Es, Fr & De

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Book Description :

Known for its accessible, precise approach, Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, introduces discrete mathematics with clarity and precision. Coverage emphasizes the major themes of discrete mathematics as well as the reasoning that underlies mathematical thought. Students learn to think abstractly as they study the ideas of logic and proof. While learning about logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that ideas of discrete mathematics underlie and are essential to today’s science and technology. The author’s emphasis on reasoning provides a foundation for computer science and upper-level mathematics courses. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Discrete Mathematics with Applications

Discrete Mathematics with Applications Book
Author : Susanna S. Epp
Publisher : Unknown
Release : 2020
ISBN : 9780357035238
Language : En, Es, Fr & De

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Book Description :

Download Discrete Mathematics with Applications book written by Susanna S. Epp, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Discrete Mathematics with Applications

Discrete Mathematics with Applications Book
Author : Susanna S. Epp
Publisher : Brooks/Cole
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Discrete Mathematics with Applications book written by Susanna S. Epp, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Discrete Mathematics with Applications

Discrete Mathematics with Applications Book
Author : Thomas Koshy
Publisher : Elsevier
Release : 2004-01-19
ISBN : 0080477348
Language : En, Es, Fr & De

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Book Description :

This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation. * Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals * Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations * Weaves numerous applications into the text * Helps students learn by doing with a wealth of examples and exercises: - 560 examples worked out in detail - More than 3,700 exercises - More than 150 computer assignments - More than 600 writing projects * Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises * Features interesting anecdotes and biographies of 60 mathematicians and computer scientists * Instructor's Manual available for adopters * Student Solutions Manual available separately for purchase (ISBN: 0124211828)

Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications Book
Author : Kenneth H. Rosen
Publisher : McGraw-Hill Science, Engineering & Mathematics
Release : 1999
ISBN : 9780072899054
Language : En, Es, Fr & De

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Book Description :

This text is designed for the sophomore/junior level introduction to discrete mathematics taken by students preparing for future coursework in areas such as math, computer science and engineering. Rosen has become a bestseller largely due to how effectively it addresses the main portion of the discrete market, which is typically characterized as the mid to upper level in rigor. The strength of Rosen's approach has been the effective balance of theory with relevant applications, as well as the overall comprehensive nature of the topic coverage.

Mathematics with Applications

Mathematics with Applications Book
Author : Susanna S. Epp
Publisher : Brooks Cole
Release : 2019-07-10
ISBN : 9780357035207
Language : En, Es, Fr & De

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Book Description :

The Student Solutions Manual contains fully worked-out solutions to all of the exercises not completely answered in Appendix B, and is divisible by 3. The Study Guide also includes alternate explanations for some of the concepts and review questions for each chapter enabling students to gain additional practice and succeed in the course.

Discrete Mathematics and Applications

Discrete Mathematics and Applications Book
Author : Andrei M. Raigorodskii,Michael Th. Rassias
Publisher : Springer Nature
Release : 2020-11-21
ISBN : 3030558576
Language : En, Es, Fr & De

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Book Description :

Advances in discrete mathematics are presented in this book with applications in theoretical mathematics and interdisciplinary research. Each chapter presents new methods and techniques by leading experts. Unifying interdisciplinary applications, problems, and approaches of discrete mathematics, this book connects topics in graph theory, combinatorics, number theory, cryptography, dynamical systems, finance, optimization, and game theory. Graduate students and researchers in optimization, mathematics, computer science, economics, and physics will find the wide range of interdisciplinary topics, methods, and applications covered in this book engaging and useful.

Discrete Mathematics

Discrete Mathematics Book
Author : Rowan Garnier,John Taylor
Publisher : Taylor & Francis
Release : 2009-11-09
ISBN : 1439812810
Language : En, Es, Fr & De

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Book Description :

Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow progression from the basic mathematical ideas to the more sophisticated concepts examined later in the book. This edition preserves the philosophy of its predecessors while updating and revising some of the content. New to the Third Edition In the expanded first chapter, the text includes a new section on the formal proof of the validity of arguments in propositional logic before moving on to predicate logic. This edition also contains a new chapter on elementary number theory and congruences. This chapter explores groups that arise in modular arithmetic and RSA encryption, a widely used public key encryption scheme that enables practical and secure means of encrypting data. This third edition also offers a detailed solutions manual for qualifying instructors. Exploring the relationship between mathematics and computer science, this text continues to provide a secure grounding in the theory of discrete mathematics and to augment the theoretical foundation with salient applications. It is designed to help readers develop the rigorous logical thinking required to adapt to the demands of the ever-evolving discipline of computer science.

Discrete Mathematics

Discrete Mathematics Book
Author : László Lovász,József Pelikán,Katalin Vesztergombi
Publisher : Springer Science & Business Media
Release : 2006-05-11
ISBN : 0387217770
Language : En, Es, Fr & De

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Book Description :

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.

Discrete Mathematics and Applications

Discrete Mathematics and Applications Book
Author : Kevin Ferland
Publisher : CRC Press
Release : 2017-09-19
ISBN : 1498730698
Language : En, Es, Fr & De

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Book Description :

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

Discrete Mathematics

Discrete Mathematics Book
Author : Oscar Levin
Publisher : Unknown
Release : 2018-12-31
ISBN : 9781792901690
Language : En, Es, Fr & De

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Book Description :

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

Sums of Squares of Integers

Sums of Squares of Integers Book
Author : Carlos J. Moreno,Samuel S. Wagstaff, Jr.
Publisher : CRC Press
Release : 2005-12-09
ISBN : 1584884568
Language : En, Es, Fr & De

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Book Description :

Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums of a certain number of squares. The book introduces a stimulating area of number theory where research continues to proliferate. It is a book of "firsts" - namely it is the first book to combine Liouville's elementary methods with the analytic methods of modular functions to study the representation of integers as sums of squares. It is the first book to tell how to compute the number of representations of an integer n as the sum of s squares of integers for any s and n. It is also the first book to give a proof of Szemeredi's theorem, and is the first number theory book to discuss how the modern theory of modular forms complements and clarifies the classical fundamental results about sums of squares. The book presents several existing, yet still interesting and instructive, examples of modular forms. Two chapters develop useful properties of the Bernoulli numbers and illustrate arithmetic progressions, proving the theorems of van der Waerden, Roth, and Szemeredi. The book also explains applications of the theory to three problems that lie outside of number theory in the areas of cryptanalysis, microwave radiation, and diamond cutting. The text is complemented by the inclusion of over one hundred exercises to test the reader's understanding.

Discrete Mathematics with Computer Science Applications

Discrete Mathematics with Computer Science Applications Book
Author : Romualdas Skvarcius,William B. Robinson
Publisher : Benjamin-Cummings Publishing Company
Release : 1986
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Discrete Mathematics with Computer Science Applications book written by Romualdas Skvarcius,William B. Robinson, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Pearls of Discrete Mathematics

Pearls of Discrete Mathematics Book
Author : Martin Erickson
Publisher : CRC Press
Release : 2009-09-16
ISBN : 1439816174
Language : En, Es, Fr & De

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Book Description :

Methods Used to Solve Discrete Math ProblemsInteresting examples highlight the interdisciplinary nature of this areaPearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relation

Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications Book
Author : Kenneth H. Rosen
Publisher : Unknown
Release : 2007
ISBN : 9780071244749
Language : En, Es, Fr & De

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Book Description :

The companion Web site -- To the student -- The foundations : logic, sets, and functions -- The fundamentals : algorithms, the integers, and matrices -- Mathematical reasoning -- Counting -- Advanced counting techniques -- Relations -- Graphs -- Trees -- Boolean algebra -- Modeling computation

Discrete Mathematics Using a Computer

Discrete Mathematics Using a Computer Book
Author : Cordelia Hall,John O'Donnell
Publisher : Springer Science & Business Media
Release : 2013-04-17
ISBN : 1447136578
Language : En, Es, Fr & De

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Book Description :

Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools such as proof checkers. These connections are emphasised throughout the book. Software tools (see Appendix A) enable the computer to serve as a calculator, but instead of just doing arithmetic and trigonometric functions, it will be used to calculate with sets, relations, functions, predicates and inferences. There are also special software tools, for example a proof checker for logical proofs using natural deduction.

Student Solutions Manual and Study Guide Discrete Mathematics with Applications

Student Solutions Manual and Study Guide  Discrete Mathematics with Applications Book
Author : Susanna S. Epp,Tom A. Jenkyns
Publisher : Brooks/Cole Publishing Company
Release : 2012
ISBN : 9780495826132
Language : En, Es, Fr & De

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Book Description :

A solutions manual designed to accompany the fourth edition of the text, Discrete mathematics with applications, by Susanna S. Epp. It contains complete solutions to every third exercise in the text that is not fully answered in the appendix of the text itself. Additional review material is also provided.

Modern Discrete Mathematics and Analysis

Modern Discrete Mathematics and Analysis Book
Author : Nicholas J. Daras,Themistocles M. Rassias
Publisher : Springer
Release : 2018-07-05
ISBN : 3319743252
Language : En, Es, Fr & De

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Book Description :

A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.

Discrete Mathematics Introduction to Mathematical Reasoning

Discrete Mathematics  Introduction to Mathematical Reasoning Book
Author : Susanna S. Epp
Publisher : Cengage Learning
Release : 2014-07-18
ISBN : 9780495826170
Language : En, Es, Fr & De

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Book Description :

Susanna Epp's DISCRETE MATHEMATICS: AN INTRODUCTION TO MATHEMATICAL REASONING, provides the same clear introduction to discrete mathematics and mathematical reasoning as her highly acclaimed DISCRETE MATHEMATICS WITH APPLICATIONS, but in a compact form that focuses on core topics and omits certain applications usually taught in other courses. The book is appropriate for use in a discrete mathematics course that emphasizes essential topics or in a mathematics major or minor course that serves as a transition to abstract mathematical thinking. The ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. This book offers a synergistic union of the major themes of discrete mathematics together with the reasoning that underlies mathematical thought. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision, helping students develop the ability to think abstractly as they study each topic. In doing so, the book provides students with a strong foundation both for computer science and for other upper-level mathematics courses. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications Book
Author : Kenneth H. Rosen
Publisher : McGraw-Hill
Release : 2018-05
ISBN : 9781259676512
Language : En, Es, Fr & De

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Book Description :

A precise, relevant, comprehensive approach to mathematical concepts...