Tag: Squaring

Free Download Douglas M. Jesseph, "Squaring the Circle: The War between Hobbes and Wallis "
English | ISBN: 0226398994 | 2000 | 433 pages | PDF | 12 MB
In 1655, the philosopher Thomas Hobbes claimed he had solved the centuries-old problem of "squaring of the circle" (constructing a square equal in area to a given circle). With a scathing rebuttal to Hobbes’s claims, the mathematician John Wallis began one of the longest and most intense intellectual disputes of all time. Squaring the Circle is a detailed account of this controversy, from the core mathematics to the broader philosophical, political, and religious issues at stake.

Free Download Abstract Algebra and Famous Impossibilities: Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations (Undergraduate Texts in Mathematics) by Sidney A. Morris, Arthur Jones, Kenneth R. Pearson
English | November 28, 2022 | ISBN: 3031056973 | 240 pages | MOBI | 26 Mb
This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields are introduced concretely, with the geometrical questions providing motivation for the algebraic concepts. By focusing on problems that are as easy to approach as they were fiendishly difficult to resolve, the authors provide a uniquely accessible introduction to the power of abstraction.