04419nam a22006738i 4500 on1321899351 EBZ 20251029164100.0 m d cr ||||||||||| 220315s2023 flu ob 001 0 eng 2022011793 EBZ eng EBZ 9780367564933 (ebook) 0367564939 9780367565206 (hardback) 9781003098164 (paperback) 9781000637083 (electronic book) 1000637085 (electronic book) 1003098169 (electronic book) 9781000637120 (electronic book) 1000637123 (electronic book) 036756520X 9781003098164 (electronic book) 10.1201/9781003098164 doi 9781003098164 Taylor & Francis pcc QA174.7.S96 MAT 012000 bisacsh MAT 002030 bisacsh PBF bicssc MAIN Crass, Scott, author. 64267 Polynomials, dynamics, and choice : the price we pay for symmetry / Scott Crass, California State University, Long Beach, USA. First edition. 2209 Boca Raton : C&H/CRC Press, [2023] 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier textual sapdv EBSCOhost Includes bibliographical references and index. "Working out solutions to polynomial equations is a mathematical problem that dates from antiquity. Galois developed a theory in which the obstacle to solving a polynomial equation is an associated collection of symmetries. Obtaining a root requires "breaking" that symmetry. When the degree of an equation is at least five, Galois Theory established that there is no formula for the solutions like those found in lower degree cases. However, this negative result doesn't mean that the practice of equationsolving ends. In a recent breakthrough, Doyle and McMullen devised a solution to the fifth-degree equation that uses geometry, algebra, and dynamics to exploit icosahedral symmetry. Polynomials, Dynamics, and Choice: The Price We Pay for Symmetry is organized in two parts, the first of which develops an account of polynomial symmetry that relies on considerations of algebra and geometry. The second explores beyond polynomials to spaces consisting of choices ranging from mundane decisions to evolutionary algorithms that search for optimal outcomes. The two algorithms in Part I provide frameworks that capture structural issues that can arise in deliberative settings. While decision-making has been approached in mathematical terms, the novelty here is in the use of equation-solving algorithms to illuminate such problems. Features Treats the topic-familiar to many-of solving polynomial equations in a way that's dramatically different from what they saw in school Accessible to a general audience with limited mathematical background Abundant diagrams and graphics"-- Provided by publisher. EBSCOhost "EBSCO evaluates our products based on the Web Content Accessibility Guidelines (WCAG) and the related Section 508 and EN 301 549 regulations in the US and EU. Most EBSCO products are substantially conformant with WCAG 2.2 level AA." Source: https://connect.ebsco.com/s/article/EBSCO-VPATs?language=en_US. Last accessed April 22, 2025. Description based on print version record and CIP data provided by publisher; resource not viewed. Symmetry (Mathematics) 64268 Polynomials. 64269 MATHEMATICS Geometry General. bisacsh 64270 MATHEMATICS Algebra Elementary. bisacsh 64271 Electronic books. 58574 Print version: Crass, Scott. Polynomials, dynamics, and choice First edition. Boca Raton : C&H/CRC Press, [2023] 9780367565206 (DLC) 2022011792 EBSCOhost https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3293871 EBSCOhost EBSC 3293871 YBP Library Services YANK 302902403 92 N$T 55954 55954