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Advanced Number Theory
Advanced Number Theory
Eminent mathematician/teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, theories have evolved during last 2 centuries. Abounds with numerical examples, over 200 problems, many concrete, specific theorems. Includes numerous graphs and tables.

The prerequisites for this book
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Algorithms Unplugged
Algorithms Unplugged

Algorithms specify the way computers process information and how they execute tasks. Many recent technological innovations and achievements rely on algorithmic ideas – they facilitate new applications in science, medicine, production, logistics, traffic, communi¬cation and entertainment. Efficient algorithms not only enable your...

Ant Colony Optimization and Constraint Programming
Ant Colony Optimization and Constraint Programming

Ant colony optimization is a metaheuristic which has been successfully applied to a wide range of combinatorial optimization problems. The author describes this metaheuristic and studies its efficiency for solving some hard combinatorial problems, with a specific focus on constraint programming. The text is organized into three parts.

...
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...

Scheduling: Theory, Algorithms, and Systems
Scheduling: Theory, Algorithms, and Systems

This new edition provides an up-to-date coverage of important theoretical models in the scheduling literature as well as  significant scheduling problems that occur in the real world. It again includes supplementary  material in the form of  slide-shows from industry and movies that...

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...
Combinatorial Optimization: 3-Volume Set (ISTE)
Combinatorial Optimization: 3-Volume Set (ISTE)

Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major domains: mathematics, theoretical computer science and management.

The three volumes of the Combinatorial Optimization set aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and...

Graph Algorithms in the Language of Linear Algebra (Software, Environments, and Tools)
Graph Algorithms in the Language of Linear Algebra (Software, Environments, and Tools)

Graphs are among the most important abstract data types in computer science, and the algorithms that operate on them are critical to modern life. Graphs have been shown to be powerful tools for modeling complex problems because of their simplicity and generality. Graph algorithms are one of the pillars of mathematics, informing research in...

Effective Computational Geometry for Curves and Surfaces (Mathematics and Visualization)
Effective Computational Geometry for Curves and Surfaces (Mathematics and Visualization)

This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and...

Geometric Problems on Maxima and Minima
Geometric Problems on Maxima and Minima
Questions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a...
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,
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Ramsey Theory for Discrete Structures
Ramsey Theory for Discrete Structures

This monograph covers some of the most important developments in Ramsey theory from its beginnings in the early 20th century via its many breakthroughs to recent important developments in the early 21st century.

The book first presents a detailed discussion of the roots of Ramsey theory before offering a thorough discussion of the...

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