**Author**: Kenneth Rosen

**Publisher:**McGraw-Hill Higher Education

**ISBN:**007741893X

**Category:**Education

**Page:**N.A

**View:**4019

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# Search Results for: discrete-mathematics-and-its-applications

**Author**: Kenneth Rosen

**Publisher:** McGraw-Hill Higher Education

**ISBN:** 007741893X

**Category:** Education

**Page:** N.A

**View:** 4019

*With Combinatorics and Graph Theory*

**Author**: Kenneth H. Rosen,Kamala Krithivasan

**Publisher:** Tata McGraw-Hill Education

**ISBN:** 0070681880

**Category:** Computer science

**Page:** N.A

**View:** 4192

*With Combinatorics and Graph Theory*

**Author**: Rosen

**Publisher:** Tata McGraw-Hill Education

**ISBN:** 9780070648241

**Category:** Computer science

**Page:** 787

**View:** 6137

**Author**: Martin Erickson

**Publisher:** CRC Press

**ISBN:** 1439816174

**Category:** Computers

**Page:** 280

**View:** 9387

Methods Used to Solve Discrete Math Problems Interesting examples highlight the interdisciplinary nature of this area Pearls 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 relationship of these structures to algebra, geometry, number theory, and combinatorics. Each chapter begins with a mathematical teaser to engage readers and includes a particularly surprising, stunning, elegant, or unusual result. The author covers the upward extension of Pascal’s triangle, a recurrence relation for powers of Fibonacci numbers, ways to make change for a million dollars, integer triangles, the period of Alcuin’s sequence, and Rook and Queen paths and the equivalent Nim and Wythoff’s Nim games. He also examines the probability of a perfect bridge hand, random tournaments, a Fibonacci-like sequence of composite numbers, Shannon’s theorems of information theory, higher-dimensional tic-tac-toe, animal achievement and avoidance games, and an algorithm for solving Sudoku puzzles and polycube packing problems. Exercises ranging from easy to challenging are found in each chapter while hints and solutions are provided in an appendix. With over twenty-five years of teaching experience, the author takes an organic approach that explores concrete problems, introduces theory, and adds generalizations as needed. He delivers an absorbing treatment of the basic principles of discrete mathematics.

**Author**: Kenneth H. Rosen

**Publisher:** CRC Press

**ISBN:** 135164405X

**Category:** Mathematics

**Page:** 1612

**View:** 7750

Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.

**Author**: M. Sethumadhavan

**Publisher:** Alpha Science Int'l Ltd.

**ISBN:** 9788173197314

**Category:** Mathematics

**Page:** 233

**View:** 6268

Discrete Mathematics and its Applications provides an in-depth review of recent applications in the area and points to the directions of research. It deals with a wide range of topics like Cryptology Graph Theory Fuzzy Topology Computer Science Mathematical Biology A resource for researchers to keep track of the latest developments in these topics. Of interest to graph theorists, computer scientists, cryptographers, security specialists.

**Author**: Susanna S. Epp

**Publisher:** Cengage Learning

**ISBN:** 0495391328

**Category:** Mathematics

**Page:** 984

**View:** 8529

Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong 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.

**Author**: Kenneth Rosen,Jerrold Grossman

**Publisher:** McGraw-Hill Education

**ISBN:** 9780077353506

**Category:** Mathematics

**Page:** 576

**View:** 4436

Answers to ODD numbered problems are in the back of the book. WORKED OUT SOLUTIONS for these ODD numbered problems are in the PRINTED Student's Solutions Guide (0-07-7353501). Complete SOLUTIONS for the EVEN NUMBERED PROBLEMS are available for the Instructor ONLY in the Instructor's Resource Guide link under the Instructor Resources.

**Author**: Kenneth H. Rosen

**Publisher:** McGraw-Hill Companies

**ISBN:** 9780070539662

**Category:** Computer science

**Page:** 372

**View:** 6681

This text provides a balanced survey of major sub-fields within discrete mathematics. It demonstrates the utility of discrete mathematics in the solutions of real-world problems in diverse areas such as zoology, linguistics and business. Over 200 new problems have been added to this third edition.

**Author**: Kenneth Rosen

**Publisher:** McGraw-Hill Education

**ISBN:** 9780077431440

**Category:** Mathematics

**Page:** 903

**View:** 1817

Discrete Mathematics and its Applications, Seventh Edition, is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned best-selling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a discrete mathematics course and demonstrates the relevance and practicality of discrete mathematics to a wide a wide variety of real-world applications...from computer science to data networking, to psychology, to chemistry, to engineering, to linguistics, to biology, to business, and to many other important fields.

**Author**: Kenneth Rosen

**Publisher:** McGraw-Hill Science/Engineering/Math

**ISBN:** 9780073107790

**Category:** Mathematics

**Page:** 528

**View:** 3962

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.

**Author**: Thomas Koshy

**Publisher:** Elsevier

**ISBN:** 9780080477343

**Category:** Mathematics

**Page:** 1042

**View:** 7723

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)
*Building a Modern Computer from First Principles*

**Author**: Noam Nisan,Shimon Schocken

**Publisher:** MIT Press

**ISBN:** 9780262140874

**Category:** Computers

**Page:** 325

**View:** 2871

This title gives students an integrated and rigorous picture of applied computer science, as it comes to play in the construction of a simple yet powerful computer system.

**Author**: Roberto Tamassia

**Publisher:** CRC Press

**ISBN:** 1420010263

**Category:** Mathematics

**Page:** 862

**View:** 848

Get an In-Depth Understanding of Graph Drawing Techniques, Algorithms, Software, and Applications The Handbook of Graph Drawing and Visualization provides a broad, up-to-date survey of the field of graph drawing. It covers topological and geometric foundations, algorithms, software systems, and visualization applications in business, education, science, and engineering. Each chapter is self-contained and includes extensive references. The first several chapters of the book deal with fundamental topological and geometric concepts and techniques used in graph drawing, such as planarity testing and embedding, crossings and planarization, symmetric drawings, and proximity drawings. The following chapters present a large collection of algorithms for constructing drawings of graphs, including tree, planar straight-line, planar orthogonal and polyline, spine and radial, circular, rectangular, hierarchical, and three-dimensional drawings as well as labeling algorithms, simultaneous embeddings, and force-directed methods. The book then introduces the GraphML language for representing graphs and their drawings and describes three software systems for constructing drawings of graphs: OGDF, GDToolkit, and PIGALE. The final chapters illustrate the use of graph drawing methods in visualization applications for biological networks, computer security, data analytics, education, computer networks, and social networks. Edited by a pioneer in graph drawing and with contributions from leaders in the graph drawing research community, this handbook shows how graph drawing and visualization can be applied in the physical, life, and social sciences. Whether you are a mathematics researcher, IT practitioner, or software developer, the book will help you understand graph drawing methods and graph visualization systems, use graph drawing techniques in your research, and incorporate graph drawing solutions in your products.

**Author**: Jonathan L. Gross,Jay Yellen,Mark Anderson

**Publisher:** CRC Press

**ISBN:** 0429757085

**Category:** Computers

**Page:** 577

**View:** 5702

Graph Theory and Its Applications, Third Edition is the latest edition of the international, bestselling textbook for undergraduate courses in graph theory, yet it is expansive enough to be used for graduate courses as well. The textbook takes a comprehensive, accessible approach to graph theory, integrating careful exposition of classical developments with emerging methods, models, and practical needs. The authors’ unparalleled treatment is an ideal text for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology. Features of the Third Edition Expanded coverage on several topics (e.g., applications of graph coloring and tree-decompositions) Provides better coverage of algorithms and algebraic and topological graph theory than any other text Incorporates several levels of carefully designed exercises that promote student retention and develop and sharpen problem-solving skills Includes supplementary exercises to develop problem-solving skills, solutions and hints, and a detailed appendix, which reviews the textbook’s topics About the Authors Jonathan L. Gross is a professor of computer science at Columbia University. His research interests include topology and graph theory. Jay Yellen is a professor of mathematics at Rollins College. His current areas of research include graph theory, combinatorics, and algorithms. Mark Anderson is also a mathematics professor at Rollins College. His research interest in graph theory centers on the topological or algebraic side.

**Author**: V. K . Balakrishnan

**Publisher:** Courier Corporation

**ISBN:** 0486140385

**Category:** Mathematics

**Page:** 256

**View:** 6184

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.

**Author**: Jason I. Brown

**Publisher:** CRC Press

**ISBN:** 1466579420

**Category:** Computers

**Page:** 224

**View:** 2409

Discover the Connections between Different Structures and Fields Discrete 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, such as linear and multilinear algebra, analysis, probability, logic, and topology. The text introduces a number of discrete structures, such as hypergraphs, finite topologies, preorders, simplicial complexes, and order ideals of monomials, that most graduate students in combinatorics, and even some researchers in the field, seldom experience. The author explains how these structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures. Intended for graduate and upper-level undergraduate students in mathematics who have taken an initial course in discrete mathematics or graph theory, this book shows how discrete structures offer new insights into the classical fields of mathematics. It illustrates how to use discrete structures to represent the salient features and discover the underlying combinatorial principles of seemingly unrelated areas of mathematics.
*Tools and Paradigms*

**Author**: Micha Hofri,Hosam Mahmoud

**Publisher:** CRC Press

**ISBN:** 131535134X

**Category:** Mathematics

**Page:** 570

**View:** 8624

Algorithmics of Nonuniformity is a solid presentation about the analysis of algorithms, and the data structures that support them. Traditionally, algorithmics have been approached either via a probabilistic view or an analytic approach. The authors adopt both approaches and bring them together and benefit from the advantage of each approach. The text examines algorithms that are designed to handle general data—sort any array, find the median of any numerical set, and identify patterns in any setting. At the same time, it evaluates "average" performance, "typical" behavior, or in mathematical terms, the expectations of the random variables that describe their operations.
*Selected Topics*

**Author**: Martin Anthony

**Publisher:** SIAM

**ISBN:** 089871480X

**Category:** Computers

**Page:** 131

**View:** 6997

This concise, readable book provides a sampling of the very large, active, and expanding field of artificial neural network theory. It considers select areas of discrete mathematics linking combinatorics and the theory of the simplest types of artificial neural networks. Neural networks have emerged as a key technology in many fields of application, and an understanding of the theories concerning what such systems can and cannot do is essential. Some classical results are presented with accessible proofs, together with some more recent perspectives, such as those obtained by considering decision lists. In addition, probabilistic models of neural network learning are discussed. Graph theory, some partially ordered set theory, computational complexity, and discrete probability are among the mathematical topics involved. Pointers to further reading and an extensive bibliography make this book a good starting point for research in discrete mathematics and neural networks.

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