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A Second Course in Formal Languages and Automata Theory
A Second Course in Formal Languages and Automata Theory
Intended for graduate students and advanced undergraduates in computer science, A Second Course in Formal Languages and Automata Theory treats topics in the theory of computation not usually covered in a first course. After a review of basic concepts, the book covers combinatorics on words, regular languages, context-free languages, parsing and...
Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics (Advanced Information and Knowledge Processing)
Mathematical Tools for Data Mining: Set Theory, Partial Orders, Combinatorics (Advanced Information and Knowledge Processing)
The maturing of the field of data mining has brought about an increased level of mathematical sophistication. Such disciplines like topology, combinatorics, partially ordered sets and their associated algebraic structures (lattices and Boolean algebras), and metric spaces are increasingly applied in data mining research. This book presents these...
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...
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...
A Primer for Mathematics Competitions
A Primer for Mathematics Competitions
The importance of mathematics competitions has been widely recognized for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of...
Applied Cryptanalysis: Breaking Ciphers in the Real World
Applied Cryptanalysis: Breaking Ciphers in the Real World
The book is designed to be accessible to motivated IT professionals who want to learn more about the specific attacks covered. In particular, every effort has been made to keep the chapters independent, so if someone is interested in has function cryptanalysis or RSA timing attacks, they do not necessarily need to study all of the previous material...
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...
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...

Memory as a Programming Concept in C and C++
Memory as a Programming Concept in C and C++

The overwhelming majority of program bugs and computer crashes stem from problems of memory access, allocation, or deallocation. Such memory-related problems are also notoriously difficult to debug. Yet the role that memory plays in C and C++ programming is a subject often overlooked in courses and books because it requires specialized knowledge...

Handbook of Finite Fields (Discrete Mathematics and Its Applications)
Handbook of Finite Fields (Discrete Mathematics and Its Applications)

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and...

Geometric Algorithms and Combinatorial Optimization (Algorithms and Combinatorics 2)
Geometric Algorithms and Combinatorial Optimization (Algorithms and Combinatorics 2)

This book develops geometric techniques for proving the polynomial time solvability of problems in convexity theory, geometry, and - in particular - combinatorial optimization. It offers a unifying approach based on two fundamental geometric algorithms: - the ellipsoid method for finding a point in a convex set and - the basis reduction...

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