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Pearls Of Discrete Mathematics
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Book Synopsis Pearls of Discrete Mathematics by : Martin Erickson
Download or read book Pearls of Discrete Mathematics written by Martin Erickson and published by CRC Press. This book was released on 2009-09-16 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Pearls in Graph Theory by : Nora Hartsfield
Download or read book Pearls in Graph Theory written by Nora Hartsfield and published by Courier Corporation. This book was released on 2013-04-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.
Download or read book Indra's Pearls written by David Mumford and published by Cambridge University Press. This book was released on 2002-04-25 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.
Book Synopsis Foundations of Discrete Mathematics with Algorithms and Programming by : R. Balakrishnan
Download or read book Foundations of Discrete Mathematics with Algorithms and Programming written by R. Balakrishnan and published by CRC Press. This book was released on 2018-10-26 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Essentials of Discrete Mathematics by : David James Hunter
Download or read book Essentials of Discrete Mathematics written by David James Hunter and published by Jones & Bartlett Learning. This book was released on 2009 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: &Quot;Essentials of Discrete Mathematics is the ideal text for a one-term discrete mathematics course to serve computer science majors as well as students from a wide range of other disciplines. It presents a unified and complete picture of discrete mathematics that instructors can move through in a single semester."--BOOK JACKET.
Book Synopsis Extra Pearls in Graph Theory by : Anton Petrunin
Download or read book Extra Pearls in Graph Theory written by Anton Petrunin and published by . This book was released on 2018-12-18 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a supplement for "Pearls in graph theory" -- a textbook written by Nora Hartsfield and Gerhard Ringel.We discuss bounds on Ramsey numbers, the probabilistic method, deletion-contraction formulas, the matrix theorem, chromatic polynomials, the marriage theorem and its relatives, the Rado graph, and generating functions.
Book Synopsis Discrete Mathematics by : László Lovász
Download or read book Discrete Mathematics written by László Lovász and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Discrete Mathematics and Its Applications by : Kenneth Rosen
Download or read book Discrete Mathematics and Its Applications written by Kenneth Rosen and published by McGraw-Hill Education. This book was released on 2006-07-26 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics and its Applications, Sixth 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.
Book Synopsis A Student's Guide to the Study, Practice, and Tools of Modern Mathematics by : Donald Bindner
Download or read book A Student's Guide to the Study, Practice, and Tools of Modern Mathematics written by Donald Bindner and published by CRC Press. This book was released on 2010-11-29 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and MapleTM to MATLAB® and R. Along with a color insert, the text includes exercises and challenges to stimulate creativity and improve problem solving abilities. The first section of the book covers issues pertaining to studying mathematics. The authors explain how to write mathematical proofs and papers, how to perform mathematical research, and how to give mathematical presentations. The second section focuses on the use of mathematical tools for mathematical typesetting, generating data, finding patterns, and much more. The text describes how to compose a LaTeX file, give a presentation using Beamer, create mathematical diagrams, use computer algebra systems, and display ideas on a web page. The authors cover both popular commercial software programs and free and open source software, such as Linux and R. Showing how to use technology to understand mathematics, this guide supports students on their way to becoming professional mathematicians. For beginning mathematics students, it helps them study for tests and write papers. As time progresses, the book aids them in performing advanced activities, such as computer programming, typesetting, and research.
Book Synopsis Discrete Mathematics with Ducks by : sarah-marie belcastro
Download or read book Discrete Mathematics with Ducks written by sarah-marie belcastro and published by CRC Press. This book was released on 2012-06-21 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Discrete Mathematics Through Applications by : Nancy Crisler
Download or read book Discrete Mathematics Through Applications written by Nancy Crisler and published by Macmillan. This book was released on 1999-07-30 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written specifically for the high school discrete math course, Discrete Mathematics Through Applications lets the recently revised NCTM Standards be its guide. The book focuses on the connections among mathematical topics and real-life events and situations, emphasizing problem solving, mathematical reasoning and communication.
Book Synopsis Discrete Mathematics by : Gary Chartrand
Download or read book Discrete Mathematics written by Gary Chartrand and published by Waveland Press. This book was released on 2011-03-31 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chartrand and Zhangs Discrete Mathematics presents a clearly written, student-friendly introduction to discrete mathematics. The authors draw from their background as researchers and educators to offer lucid discussions and descriptions fundamental to the subject of discrete mathematics. Unique among discrete mathematics textbooks for its treatment of proof techniques and graph theory, topics discussed also include logic, relations and functions (especially equivalence relations and bijective functions), algorithms and analysis of algorithms, introduction to number theory, combinatorics (counting, the Pascal triangle, and the binomial theorem), discrete probability, partially ordered sets, lattices and Boolean algebras, cryptography, and finite-state machines. This highly versatile text provides mathematical background used in a wide variety of disciplines, including mathematics and mathematics education, computer science, biology, chemistry, engineering, communications, and business. Some of the major features and strengths of this textbook Numerous, carefully explained examples and applications facilitate learning. More than 1,600 exercises, ranging from elementary to challenging, are included with hints/answers to all odd-numbered exercises. Descriptions of proof techniques are accessible and lively. Students benefit from the historical discussions throughout the textbook.
Book Synopsis Essentials of Discrete Mathematics by : David J. Hunter
Download or read book Essentials of Discrete Mathematics written by David J. Hunter and published by Jones & Bartlett Learning. This book was released on 2021-03-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for the one-term course, Essentials of Discrete Mathematics, Fourth Edition is designed to serve computer science and mathematics majors, as well as students from a wide range of other disciplines. The mathematical material is organized around five types of thinking: logical, relational, recursive, quantitative, and analytical. The final chapter, “Thinking Through Applications” looks at different ways that discrete math thinking can be applied. Applications are included throughout the text and are sourced from a variety of disciplines, including biology, economics, music, and more.
Book Synopsis Discrete Structures and Their Interactions by : Jason I. Brown
Download or read book Discrete Structures and Their Interactions written by Jason I. Brown and published by CRC Press. This book was released on 2016-04-19 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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,
Book Synopsis Discrete Mathematical Structures by : Bernard Kolman
Download or read book Discrete Mathematical Structures written by Bernard Kolman and published by . This book was released on 1996 with total page 1238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only discrete math text that has a thread holding the various topics together. One of the shortest books on the market. New to this edition: stronger coverage of logic, graphs, and trees. Also includes special student projects.
Book Synopsis Discrete Mathematics by : Martin Aigner
Download or read book Discrete Mathematics written by Martin Aigner and published by American Mathematical Soc.. This book was released on with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of fast computers and the search for efficient algorithms revolutionized combinatorics and brought about the field of discrete mathematics. This book is an introduction to the main ideas and results of discrete mathematics, and with its emphasis on algorithms it should be interesting to mathematicians and computer scientists alike. The book is organized into three parts: enumeration, graphs and algorithms, and algebraic systems. There are 600 exercises with hints andsolutions to about half of them. The only prerequisites for understanding everything in the book are linear algebra and calculus at the undergraduate level. Praise for the German edition ... This book is a well-written introduction to discrete mathematics and is highly recommended to every student ofmathematics and computer science as well as to teachers of these topics. --Konrad Engel for MathSciNet Martin Aigner is a professor of mathematics at the Free University of Berlin. He received his PhD at the University of Vienna and has held a number of positions in the USA and Germany before moving to Berlin. He is the author of several books on discrete mathematics, graph theory, and the theory of search. The Monthly article Turan's graph theorem earned him a 1995 Lester R. Ford Prize of theMAA for expository writing, and his book Proofs from the BOOK with Gunter M. Ziegler has been an international success with translations into 12 languages.
Book Synopsis Discrete Mathematics with Proof by : Eric Gossett
Download or read book Discrete Mathematics with Proof written by Eric Gossett and published by John Wiley & Sons. This book was released on 2009-06-22 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Trusted Guide to Discrete Mathematics with Proof?Now in a Newly Revised Edition Discrete mathematics has become increasingly popular in recent years due to its growing applications in the field of computer science. Discrete Mathematics with Proof, Second Edition continues to facilitate an up-to-date understanding of this important topic, exposing readers to a wide range of modern and technological applications. The book begins with an introductory chapter that provides an accessible explanation of discrete mathematics. Subsequent chapters explore additional related topics including counting, finite probability theory, recursion, formal models in computer science, graph theory, trees, the concepts of functions, and relations. Additional features of the Second Edition include: An intense focus on the formal settings of proofs and their techniques, such as constructive proofs, proof by contradiction, and combinatorial proofs New sections on applications of elementary number theory, multidimensional induction, counting tulips, and the binomial distribution Important examples from the field of computer science presented as applications including the Halting problem, Shannon's mathematical model of information, regular expressions, XML, and Normal Forms in relational databases Numerous examples that are not often found in books on discrete mathematics including the deferred acceptance algorithm, the Boyer-Moore algorithm for pattern matching, Sierpinski curves, adaptive quadrature, the Josephus problem, and the five-color theorem Extensive appendices that outline supplemental material on analyzing claims and writing mathematics, along with solutions to selected chapter exercises Combinatorics receives a full chapter treatment that extends beyond the combinations and permutations material by delving into non-standard topics such as Latin squares, finite projective planes, balanced incomplete block designs, coding theory, partitions, occupancy problems, Stirling numbers, Ramsey numbers, and systems of distinct representatives. A related Web site features animations and visualizations of combinatorial proofs that assist readers with comprehension. In addition, approximately 500 examples and over 2,800 exercises are presented throughout the book to motivate ideas and illustrate the proofs and conclusions of theorems. Assuming only a basic background in calculus, Discrete Mathematics with Proof, Second Edition is an excellent book for mathematics and computer science courses at the undergraduate level. It is also a valuable resource for professionals in various technical fields who would like an introduction to discrete mathematics.
