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Bruce M. Landman, Aaron Robertson, "Ramsey Theory on the Integers"

Ramsey theory is the study of the structure of mathematical objects that is preserved under partitions. In its full generality, Ramsey theory is quite powerful, but can quickly become complicated. By limiting the focus of this book to Ramsey theory applied to the set of integers, the authors have produced a gentle, but meaningful, introduction to an important and enticing branch of modern mathematics. Ramsey Theory on the Integers offers students something quite rare for a book at this level: a glimpse into the world of mathematical research and the opportunity for them to begin pondering unsolved problems.

In addition to being the first truly accessible book on Ramsey theory, this innovative book also provides the first cohesive study of Ramsey theory on the integers. It contains perhaps the most substantial account of solved and unsolved problems in this blossoming subarea of Ramsey theory. The result is a breakthrough book that will engage students, teachers, and researchers alike.

Summary: An excellent book

Rating: 5

An excellent book which requires only elementary mathematics to be understood and which is full of research problems

Summary: A Great Book

Rating: 5

Great book about Ramsey theory.Clear it the exposition,good for the references,rare for the choice of research problems as well as for standard exercises.There are few books about Ramsey theory and this is,in my view, one of the best.

Summary: The Cutting Edge of Combinatorial Research for Undergrads!

Rating: 5

This book did the impossible. It is a high-level research

monograph about a fascinating and very difficult part of

modern combinatorics, and yet accessible to (smart) undergraduate

students, who can start to do their own research left away.

It is beautifully written, in a crisp, lucid, and very engaging

style, and is also a masterpiece of historical scholarship with

ample notes. Thanks to this book we would get many more smart

students to go on to do a Ph.D. in math, students that otherwise would have gone elsewhere. We desperately need more such books.

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Rating:
2.5 out of 5 by Book123