Selected Papers on Discrete Mathematics

Selected Papers on Discrete Mathematics PDF Author: Donald Ervin Knuth
Publisher: Stanford Univ Center for the Study
ISBN: 9781575862484
Category : Computers
Languages : en
Pages : 812

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Book Description
This volume assembles more than three dozen of Professor Knuth's pioneering contributions to discrete mathematics.

Selected Papers on Discrete Mathematics

Selected Papers on Discrete Mathematics PDF Author: Donald Ervin Knuth
Publisher: Stanford Univ Center for the Study
ISBN: 9781575862484
Category : Computers
Languages : en
Pages : 812

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Book Description
This volume assembles more than three dozen of Professor Knuth's pioneering contributions to discrete mathematics.

Selected Papers on Discrete Mathematics

Selected Papers on Discrete Mathematics PDF Author: Donald Ervin Knuth
Publisher: Stanford Univ Center for the Study
ISBN: 9781575862491
Category : Computers
Languages : en
Pages : 812

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Book Description
This volume assembles more than three dozen of Professor Knuth's pioneering contributions to discrete mathematics.

Selected Papers on Fun & Games

Selected Papers on Fun & Games PDF Author: Donald Ervin Knuth
Publisher: Center for the Study of Language and Information Publica Tion
ISBN: 9781575865850
Category : Computer games
Languages : en
Pages : 0

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Book Description
Donald E. Knuth's influence in computer science ranges from the invention of methods for translating and defining programming languages to the creation of the TeX and METAFONT systems for desktop publishing. His award-winning textbooks have become classics that are often given credit for shaping the field, and his scientific papers are widely referenced and stand as milestones of development over a wide variety of topics. The present volume is the eighth in a series of his collected papers.

Discrete Mathematics

Discrete Mathematics PDF Author: Martin Aigner
Publisher: American Mathematical Society
ISBN: 1470470632
Category : Mathematics
Languages : en
Pages : 402

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Book Description
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 and solutions 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 of mathematics 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 the MAA for expository writing, and his book Proofs from the BOOK with Günter M. Ziegler has been an international success with translations into 12 languages.

Discrete Mathematics with Ducks

Discrete Mathematics with Ducks PDF Author: Sarah-marie Belcastro
Publisher: CRC Press
ISBN: 1351683683
Category : Mathematics
Languages : en
Pages : 733

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Book Description
Discrete Mathematics with Ducks, Second Edition is a gentle introduction for students who find the proofs and abstractions of mathematics challenging. At the same time, it provides stimulating material that instructors can use for more advanced students. The first edition was widely well received, with its whimsical writing style and numerous exercises and materials that engaged students at all levels. The new, expanded edition continues to facilitate effective and active learning. It is designed to help students learn about discrete mathematics through problem-based activities. These are created to inspire students to understand mathematics by actively practicing and doing, which helps students better retain what they’ve learned. As such, each chapter contains a mixture of discovery-based activities, projects, expository text, in-class exercises, and homework problems. The author’s lively and friendly writing style is appealing to both instructors and students alike and encourages readers to learn. The book’s light-hearted approach to the subject is a guiding principle and helps students learn mathematical abstraction. Features: The book’s Try This! sections encourage students to construct components of discussed concepts, theorems, and proofs Provided sets of discovery problems and illustrative examples reinforce learning Bonus sections can be used by instructors as part of their regular curriculum, for projects, or for further study

Discrete Mathematics

Discrete Mathematics PDF Author: Jean Gallier
Publisher: Springer Science & Business Media
ISBN: 1441980474
Category : Mathematics
Languages : en
Pages : 473

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Book Description
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.

Invitation to Discrete Mathematics

Invitation to Discrete Mathematics PDF Author: Jiří Matoušek
Publisher: Oxford University Press
ISBN: 0198570430
Category : Mathematics
Languages : en
Pages : 462

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Book Description
A clear and self-contained introduction to discrete mathematics for undergraduates and early graduates.

Introductory Discrete Mathematics

Introductory Discrete Mathematics PDF Author: V. K . Balakrishnan
Publisher: Courier Corporation
ISBN: 0486140385
Category : Mathematics
Languages : en
Pages : 260

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Book Description
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 Mathematics

Discrete Mathematics PDF Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781534970748
Category :
Languages : en
Pages : 342

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Book Description
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 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. 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.

Applications of Discrete Geometry and Mathematical Morphology

Applications of Discrete Geometry and Mathematical Morphology PDF Author: Ullrich Köthe
Publisher: Springer
ISBN: 3642323138
Category : Computers
Languages : en
Pages : 175

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Book Description
This book constitutes the refereed proceedings of the first Workshop on Applications of Discrete Geometry and Mathematical Morphology, WADGMM 2010, held at the International Conference on Pattern Recognition in Istanbul, Turkey, in August 2010. The 11 revised full papers presented were carefully reviewed and selected from 25 submissions. The book was specifically designed to promote interchange and collaboration between experts in discrete geometry/mathematical morphology and potential users of these methods from other fields of image analysis and pattern recognition.