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...
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 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....
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
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,...
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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