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An Introduction to Quantum Computing
An Introduction to Quantum Computing
This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated...
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...
The Art of Computer Programming. Vol 1: Fundamental Algorithms. 2nd Printing.
The Art of Computer Programming. Vol 1: Fundamental Algorithms. 2nd Printing.

Fundamental Algorithms begins with mathematical preliminaries. The first section offers a good grounding in a variety of useful mathematical tools: proof techniques, combinatorics, and elementary number theory. Knuth then details the MIX processor, a virtual machine architecture that serves as the programming target for subsequent...

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...

Recent Advances in Formal Languages and Applications (Studies in Computational Intelligence)
Recent Advances in Formal Languages and Applications (Studies in Computational Intelligence)
The theory of formal languages is widely accepted as the backbone of theoretical computer science. It mainly originated from mathematics (combinatorics, algebra, mathematical logic) and generative linguistics. All human problem solving capabilities can be considered in a certain sense as a manipulation of symbols and structures composed by symbols,...
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
...

Learning Spaces: Interdisciplinary Applied Mathematics
Learning Spaces: Interdisciplinary Applied Mathematics

Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Learning spaces generalize partially ordered sets and are special cases of knowledge spaces. The various structures are investigated from the standpoints of combinatorial properties and stochastic processes.

Leaning spaces have...

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