Shipped From Country United Kingdom

Sellers ID GardBooks B - 245

Media Condition New

Sleeve Condition New

Question-Contact Seller

Comments
New Store Stock

Reference Number-2547911046

Description
How the concept of proof has enabled the creation of mathematical knowledgeThe 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, Goedel, 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.

When possible we will add details of the items we are selling to help buyers know what is included in the item for sale. The details are provided automatically from our central master database and can sometimes be wrong.

Books are released in many editions and variations, such as standard edition, re-issue, not for sale, promotional, special edition, limited edition, and many other editions and versions.  The Book you receive could be any of these editions or variations. If you are looking for a specific edition or version please contact us to verify what we are selling.

Gift Ideas

This is a great Christmas gift idea.

Hours of Service

We have many warehouses, some of the warehouses process orders seven days a week, but the Administration Support Staff are located at a head office location, outside of the warehouses, and typically work only Monday to Friday.

This is new and unplayed

New unplayed