How Long to Read Rudiments of Ramsey Theory

How Long Does it Take to Read Rudiments of Ramsey Theory?

It takes the average reader 1 hour and 6 minutes to read Rudiments of Ramsey Theory by Ronald L. Graham

Assuming a reading speed of 250 words per minute. Learn more

Description

It is no exaggeration to say that over the past several decades there has been a veritable explosion of activity in the general field of combinatorics. Ramsey theory, in particular, has shown remarkable growth. This book gives a picture of the state of the art of Ramsey theory at the time of Graham's CBMS lectures. In keeping with the style of the lectures, the exposition is informal. However, complete proofs are given for most of the basic results presented. In addition, many useful results may be found in the exercises and problems. Loosely speaking, Ramsey theory is the branch of combinatorics that deals with structures that are preserved under partitions. Typically, one looks at the following kind of question: If a particular structure (e.g., algebraic, combinatorial or geometric) is arbitrarily partitioned into finitely many classes, what kinds of substructures must always remain intact in at least one of the classes? At the time of these lectures, a number of spectacular advances had been made in the field of Ramsey theory. These include: the work of Szemeredi and Furstenberg settling the venerable conjecture of Erdos and Turan, the Nesetril-Rodl theorems on induced Ramsey properties, the results of Paris and Harrington on ``large'' Ramsey numbers and undecidability in first-order Peano arithmetic, Deuber's solution to the old partition regularity conjecture of Rado, Hindman's surprising generalization of Schur's theorem, and the resolution of Rota's conjecture on Ramsey's theorem for vector spaces by Graham, Leeb and Rothschild. It has also become apparent that the ideas and techniques of Ramsey theory span a rather broad range of mathematical areas, interacting in essential ways with parts of set theory, graph theory, combinatorial number theory, probability theory, analysis and even theoretical computer science. These lecture notes lay out the foundation on which much of this work is based. Relatively little specialized mathematical background is required for this book. It should be accessible to upper division students.

How long is Rudiments of Ramsey Theory?

Rudiments of Ramsey Theory by Ronald L. Graham is 65 pages long, and a total of 16,575 words.

This makes it 22% the length of the average book. It also has 20% more words than the average book.

How Long Does it Take to Read Rudiments of Ramsey Theory Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 30 minutes to read Rudiments of Ramsey Theory aloud.

What Reading Level is Rudiments of Ramsey Theory?

Rudiments of Ramsey Theory is suitable for students ages 8 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Rudiments of Ramsey Theory?

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