How Long to Read $q$-Series with Applications to Combinatorics, Number Theory, and Physics

By Bruce C. Berndt

How Long Does it Take to Read $q$-Series with Applications to Combinatorics, Number Theory, and Physics?

It takes the average reader 4 hours and 50 minutes to read $q$-Series with Applications to Combinatorics, Number Theory, and Physics by Bruce C. Berndt

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

Description

The subject of $q$-series can be said to begin with Euler and his pentagonal number theorem. In fact, $q$-series are sometimes called Eulerian series. Contributions were made by Gauss, Jacobi, and Cauchy, but the first attempt at a systematic development, especially from the point of view of studying series with the products in the summands, was made by E. Heine in 1847. In the latter part of the nineteenth and in the early part of the twentieth centuries, two Englishmathematicians, L. J. Rogers and F. H. Jackson, made fundamental contributions. In 1940, G. H. Hardy described what we now call Ramanujan's famous $ 1\psi 1$ summation theorem as ``a remarkable formula with many parameters.'' This is now one of the fundamental theorems of the subject. Despite humble beginnings,the subject of $q$-series has flourished in the past three decades, particularly with its applications to combinatorics, number theory, and physics. During the year 2000, the University of Illinois embraced The Millennial Year in Number Theory. One of the events that year was the conference $q$-Series with Applications to Combinatorics, Number Theory, and Physics. This event gathered mathematicians from the world over to lecture and discuss their research. This volume presents nineteen of thepapers presented at the conference. The excellent lectures that are included chart pathways into the future and survey the numerous applications of $q$-series to combinatorics, number theory, and physics.

How long is $q$-Series with Applications to Combinatorics, Number Theory, and Physics?

$q$-Series with Applications to Combinatorics, Number Theory, and Physics by Bruce C. Berndt is 290 pages long, and a total of 72,500 words.

This makes it 98% the length of the average book. It also has 89% more words than the average book.

How Long Does it Take to Read $q$-Series with Applications to Combinatorics, Number Theory, and Physics Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 36 minutes to read $q$-Series with Applications to Combinatorics, Number Theory, and Physics aloud.

What Reading Level is $q$-Series with Applications to Combinatorics, Number Theory, and Physics?

$q$-Series with Applications to Combinatorics, Number Theory, and Physics 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 $q$-Series with Applications to Combinatorics, Number Theory, and Physics?

$q$-Series with Applications to Combinatorics, Number Theory, and Physics by Bruce C. Berndt 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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