How Long to Read The Mathematical Works of Bernard Bolzano

How Long Does it Take to Read The Mathematical Works of Bernard Bolzano?

It takes the average reader 12 hours and 35 minutes to read The Mathematical Works of Bernard Bolzano by Bernard Bolzano

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

Description

Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics.Aimed at historians and philosophers of both mathematics and logic, and research students in those fields, this volume contains English translations, in most cases for the first time, of many of Bolzano's most significant mathematical writings.These are the primary sources for many of his celebrated insights and anticipations, including: clear topological definitions of various geometric extensions; an effective statement and use of the Cauchy convergence criterion before it appears in Cauchy's work; proofs of the binomial theorem and the intermediate value theorem that are more general and rigorous than previous ones; an impressive theory of measurable numbers (a version of real numbers), a theory of functions including theconstruction of a continuous, non-differentiable function (around 1830); and his tantalising conceptual struggles over the possible relationships between infinite collections.Bolzano identified an objective and semantic connection between truths, his so-called 'ground-consequence' relation that imposed a structure on mathematical theories and reflected careful conceptual analysis. This was part of his highly original philosophy of mathematics that appears to be inseparable from his extraordinarily fruitful practical development of mathematics in ways that remain far from being properly understood, and may still be of relevance today.

How long is The Mathematical Works of Bernard Bolzano?

The Mathematical Works of Bernard Bolzano by Bernard Bolzano is 729 pages long, and a total of 188,811 words.

This makes it 246% the length of the average book. It also has 231% more words than the average book.

How Long Does it Take to Read The Mathematical Works of Bernard Bolzano Aloud?

The average oral reading speed is 183 words per minute. This means it takes 17 hours and 11 minutes to read The Mathematical Works of Bernard Bolzano aloud.

What Reading Level is The Mathematical Works of Bernard Bolzano?

The Mathematical Works of Bernard Bolzano 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 The Mathematical Works of Bernard Bolzano?

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