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Ramsey Theory on the Integers

, the authors have produced a gentle, but meaningful, introduction to an important and enticing branch of modern mathematics. Ramsey Theory on;

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Fundamentals of Ramsey Theory

editor of the journal Integers. After a brief detour into the world of permutation patterns, he has focused most of his research on Ramsey theory.;

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Ramsey Theory

Key problems and conjectures have played an important role in promoting the development of Ramsey theory, a field where great progress has;

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Ramsey Theory

professional mathematicians working in discrete mathematics, combinatorics, and algorithms, Ramsey Theory, Second Edition is the definitive work on the;

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Introduction to Ramsey Spaces (AM-174)

, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly;

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Rudiments of Ramsey Theory

explores many of the basic results and variations of this theory. Since the first edition of this book there have been many advances in this;

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An Invitation to Combinatorics

and global origins of the subject. All essential topics are covered, including Ramsey theory, enumerative combinatorics including Stirling;

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Introduction To Number Theory

exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations. This textbook is a valuable resource;

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Essentials of Number Theory

Number theory is a vast and fascinating field of mathematics, sometimes called higher arithmetic, consisting of the study of the properties;

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On Four Approaches to Density

The aim of this short book is to present the elements of a systematic theory of certain types of finitely additive probability measures on;

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Number-theoretic Algorithms in Cryptography

: algorithms for primality testing; factorization algorithms for integers and for polynomials in one variable; applications of the theory of elliptic;

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Sums of Squares of Integers

of a certain number of squares. The book introduces a stimulating area of number theory where research continues to proliferate. It is a book;

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Sums of Squares of Integers

of a certain number of squares. The book introduces a stimulating area of number theory where research continues to proliferate. It is a book;

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Number Theory

. This textbook contains some path-breaking studies on number theory. It traces the progress of this field and highlights some of its key;

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Topics in Gallai-Ramsey Theory

This book explores topics in Gallai-Ramsey theory, which looks into whether rainbow colored subgraphs or monochromatic subgraphs exist in a;

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Geometry, Structure and Randomness in Combinatorics

This book collects some surveys on current trends in discrete mathematics and discrete geometry. The areas covered include: graph;

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Fundamentals of Number Theory

The branch of pure mathematics that is dedicated to study of integers is called number theory or arithmetic. Number theory studies the;

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The Bloch-Kato Conjecture for the Riemann Zeta Function

, Borel proved that these values are related to the higher K-theory of the ring of integers. Shortly afterwards, Bloch and Kato proposed a;

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London Mathematical Society Lecture Note Series

the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly;

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Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory

combinatorics and Ramsey theory. It includes both new nonstandard proofs of classical results and recent developments initially obtained in the;

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Cambridge Mathematical Library

Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University;

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International Symposium on Mathematics Quantum Theory and Cryptography

was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure;

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Canonical Ramsey Theory On Polish Spaces

active topics: forcing and analytic equivalence relations. This in turn allows the authors to develop a generalization of classical Ramsey theory;

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A Course in Computational Number Theory

A Course in Computational Number Theory uses the computer as a tool for motivation and explanation. The book is designed for the reader to;

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Discovering Group Theory

Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and;

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Discovering Group Theory

Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and;

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Cohomology of Groups and Algebraic K-theory

Groups - Oliver Baues; Lectures on the Cohomology of Groups - Kenneth S. Brown; A Brief Introduction to Algebraic K-Theory - Daniel R. Grayson;

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