How Long to Read Ramsey Theory for Discrete Structures

How Long Does it Take to Read Ramsey Theory for Discrete Structures?

It takes the average reader 3 hours and 53 minutes to read Ramsey Theory for Discrete Structures by Hans Jürgen Prömel

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

Description

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 role of parameter sets. It presents several examples of structures that can be interpreted in terms of parameter sets and features the most fundamental Ramsey-type results for parameter sets: Hales-Jewett's theorem and Graham-Rothschild1s Ramsey theorem as well as their canonical versions and several applications. Next, the book steps back to the most basic structure, to sets. It reviews classic results as well as recent progress on Ramsey numbers and the asymptotic behavior of classical Ramsey functions. In addition, it presents product versions of Ramsey's theorem, a combinatorial proof of the incompleteness of Peano arithmetic, provides a digression to discrepancy theory and examines extensions of Ramsey's theorem to larger cardinals. The next part of the book features an in-depth treatment of the Ramsey problem for graphs and hypergraphs. It gives an account on the existence of sparse and restricted Ramsey theorem's using sophisticated constructions as well as probabilistic methods. Among others it contains a proof of the induced Graham-Rothschild theorem and the random Ramsey theorem. The book closes with a chapter on one of the recent highlights of Ramsey theory: a combinatorial proof of the density Hales-Jewett theorem. This book provides graduate students as well as advanced researchers with a solid introduction and reference to the field.

How long is Ramsey Theory for Discrete Structures?

Ramsey Theory for Discrete Structures by Hans Jürgen Prömel is 232 pages long, and a total of 58,464 words.

This makes it 78% the length of the average book. It also has 71% more words than the average book.

How Long Does it Take to Read Ramsey Theory for Discrete Structures Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 19 minutes to read Ramsey Theory for Discrete Structures aloud.

What Reading Level is Ramsey Theory for Discrete Structures?

Ramsey Theory for Discrete Structures is suitable for students ages 12 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 Ramsey Theory for Discrete Structures?

Ramsey Theory for Discrete Structures by Hans Jürgen Prömel is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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