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Proof Complexity (Encyclopedia of Mathematics and its Applications)
Proof Complexity (Encyclopedia of Mathematics and its Applications)
Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. It stresses a view of proof complexity as a whole entity rather than a collection of various...
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...

Algorithmic Probability and Combinatorics: Ams Special Sessions on Algorithmic Probability and Combinatorics, October 5-6, 2007, Depaul University, ... Bc, Canada (Contemporary Mathematics)
Algorithmic Probability and Combinatorics: Ams Special Sessions on Algorithmic Probability and Combinatorics, October 5-6, 2007, Depaul University, ... Bc, Canada (Contemporary Mathematics)

This volume contains the proceedings of the AMS Special Sessions on Algorithmic Probability and Combinatories held at DePaul University on October 5-6, 2007 and at the University of British Columbia on October 4-5, 2008.

This volume collects cutting-edge research and expository on algorithmic probability and combinatories. It
...

How to Think About Algorithms
How to Think About Algorithms
There are many algorithm texts that provide lots of well-polished code and proofs of correctness. This book is not one of them. Instead, this book presents insights, notations, and analogies to help the novice describe and think about algorithms like an expert. By looking at both the big picture and easy step-by-step methods for developing...
Fundamental Approach to Discrete Mathematics
Fundamental Approach to Discrete Mathematics

The salient features of this book include: strong coverage of key topics involving recurrence relation, combinatorics, Boolean algebra, graph theory and fuzzy set theory. Algorithms and examples integrated throughout the book to bring clarity to the fundamental concepts. Each concept and definition is followed by thoughtful examples. There is...

Combinatorial Methods with Computer Applications (Discrete Mathematics and Its Applications)
Combinatorial Methods with Computer Applications (Discrete Mathematics and Its Applications)

Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the...

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...
An Introduction to the Analysis of Algorithms (2nd Edition)
An Introduction to the Analysis of Algorithms (2nd Edition)

Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students. An Introduction to the Analysis of Algorithms, Second Edition, organizes and presents that knowledge, fully...

Discrete Mathematics
Discrete Mathematics

Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about,...

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...

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