How Long to Read The Story of Proof

By John Stillwell

How Long Does it Take to Read The Story of Proof?

It takes the average reader 7 hours and 46 minutes to read The Story of Proof by John Stillwell

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

Description

How the concept of proof has enabled the creation of mathematical knowledge The Story of Proof investigates the evolution of the concept of proof—one of the most significant and defining features of mathematical thought—through critical episodes in its history. From the Pythagorean theorem to modern times, and across all major mathematical disciplines, John Stillwell demonstrates that proof is a mathematically vital concept, inspiring innovation and playing a critical role in generating knowledge. Stillwell begins with Euclid and his influence on the development of geometry and its methods of proof, followed by algebra, which began as a self-contained discipline but later came to rival geometry in its mathematical impact. In particular, the infinite processes of calculus were at first viewed as “infinitesimal algebra,” and calculus became an arena for algebraic, computational proofs rather than axiomatic proofs in the style of Euclid. Stillwell proceeds to the areas of number theory, non-Euclidean geometry, topology, and logic, and peers into the deep chasm between natural number arithmetic and the real numbers. In its depths, Cantor, Gödel, Turing, and others found that the concept of proof is ultimately part of arithmetic. This startling fact imposes fundamental limits on what theorems can be proved and what problems can be solved. Shedding light on the workings of mathematics at its most fundamental levels, The Story of Proof offers a compelling new perspective on the field’s power and progress.

How long is The Story of Proof?

The Story of Proof by John Stillwell is 456 pages long, and a total of 116,736 words.

This makes it 154% the length of the average book. It also has 143% more words than the average book.

How Long Does it Take to Read The Story of Proof Aloud?

The average oral reading speed is 183 words per minute. This means it takes 10 hours and 37 minutes to read The Story of Proof aloud.

What Reading Level is The Story of Proof?

The Story of Proof 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 Story of Proof?

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