It takes the average reader 6 hours and 9 minutes to read A Treatise on the Binomial Theorem by Craig Smorynski
Assuming a reading speed of 250 words per minute. Learn more
"The binomial theorem is usually quite rightly considered as one of the most important theorems in the whole of analysis." Thus wrote Bernard Bolzano in 1816 in introducing the first correct proof of Newton's generalisation of a century and a half earlier of a result familiar to us all from elementary algebra. Bolzano's appraisal may surprise the modern reader familiar only with the finite algebraic version of the Binomial Theorem involving positive integral exponents, and may also appear incongruous to one familiar with Newton's series for rational exponents. Yet his statement was a sound judgment back in the day. Here the story of the Binomial Theorem is presented in all its glory, from the early days in India, the Moslem world, and China as an essential tool for root extraction, through Newton's generalisation and its central role in infinite series expansions in the 17th and 18th centuries, and to its rigorous foundation in the 19th. The exposition is well-organised and fairly complete with all the necessary details, yet still readable and understandable for those with a limited mathematical background, say at the Calculus level or just below that. The present book, with its many citations from the literature, will be of interest to anyone concerned with the history or foundations of mathematics.
A Treatise on the Binomial Theorem by Craig Smorynski is 358 pages long, and a total of 92,364 words.
This makes it 121% the length of the average book. It also has 113% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 24 minutes to read A Treatise on the Binomial Theorem aloud.
A Treatise on the Binomial Theorem 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.
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