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Discrete Mathematics DeMYSTiFied
Discrete Mathematics DeMYSTiFied
In today’s world, analytical thinking is a critical part of any solid education. An important segment of this kind of reasoning—one that cuts across many disciplines—is discrete mathematics. Discrete math concerns counting, probability, (sophisticated forms of) addition, and limit processes over discrete sets. Combinatorics, graph...
Combinatorics, Automata and Number Theory (Encyclopedia of Mathematics and its Applications)
Combinatorics, Automata and Number Theory (Encyclopedia of Mathematics and its Applications)

This collaborative volume presents recent trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationships that exist between these...

The Art of Computer Programming, Volume 4A: Combinatorial Algorithms, Part 1
The Art of Computer Programming, Volume 4A: Combinatorial Algorithms, Part 1

The TITLE of Volume 4 is Combinatorial Algorithms, and when I proposed it I was strongly inclined to add a subtitle: The Kind of Programming I Like Best. Mv editors have decided to tone down such exuberance, but the fact remains that programs with a combinatorial flavor have always been my favorites.

On the other hand I've...

Mathematical Olympiad Challenges
Mathematical Olympiad Challenges
This significantly revised and expanded second edition of "Mathematical Olympiad Challenges" is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry,...
Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics)
Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics)
This book considers one of the basic problems in discrete mathematics: given a collection of constraints, describe up to isomorphism all the objects that meet them. Only a handful of classification results for combinatorial objects are dated before the mid-20th century; indeed, it is through modern computers and recent developments in algorithms...
Error-Correcting Linear Codes: Classification by Isometry and Applications
Error-Correcting Linear Codes: Classification by Isometry and Applications

This text offers an introduction to error-correcting linear codes for graduate students in mathematics, computer science and engineering and researchers. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic concepts like finite fields and group actions are...

The Cryptoclub: Using Mathematics to Make and Break Secret Codes
The Cryptoclub: Using Mathematics to Make and Break Secret Codes
Join the Cryptokids as they apply basic mathematics to make and break secret codes. This book has many hands-on activities that have been tested in both classrooms and informal settings. Classic coding methods are discussed, such as Caesar, substitution, Vigenère, and multiplicative ciphers as well as the modern RSA. Math topics covered...
Combinatorial Number Theory: Proceedings of the 'Integers Conference 2007', Carrollton, Georgia, October 2427, 2007
Combinatorial Number Theory: Proceedings of the 'Integers Conference 2007', Carrollton, Georgia, October 2427, 2007
The Integers Conference 2007 was held October 24–27, 2007, at the University of West Georgia in Carrollton, Georgia. This was the third Integers Conference, held bi-annually since 2003.

It featured sixty-four invited talks including six plenary lectures presented by George Andrews, Vitaly Bergelson, Bryna Kra,
...
Mathematical Foundations of Computer Networking (Addison-Wesley Professional Computing Series)
Mathematical Foundations of Computer Networking (Addison-Wesley Professional Computing Series)

 

Graduate students, researchers, and professionals in the field of computer networking often require a firm conceptual understanding of its theoretical foundations. Knowledge of optimization, information theory, game theory, control theory, and queueing theory is assumed by research papers in the
...
Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications (Operations Research / Computer Science Interfaces Series)
Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications (Operations Research / Computer Science Interfaces Series)

Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by...

Information Retrieval for Music and Motion
Information Retrieval for Music and Motion
A general scenario that has attracted a lot of attention for multimedia information retrieval is based on the query-by-example paradigm: retrieve all documents from a database containing parts or aspects similar to a given data fragment. However, multimedia objects, even though they are similar from a structural or semantic viewpoint, often reveal...
Topics in Mathematical Analysis (Series on Analysis, Applications and Computation)
Topics in Mathematical Analysis (Series on Analysis, Applications and Computation)
This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide...
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