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008 220315s2023 flu ob 001 0 eng
010 _a 2022011793
040 _aEBZ
_beng
_cEBZ
020 _a9780367564933
_q(ebook)
020 _a0367564939
020 _z9780367565206
_q(hardback)
020 _z9781003098164
_q(paperback)
020 _a9781000637083
_q(electronic book)
020 _a1000637085
_q(electronic book)
020 _a1003098169
_q(electronic book)
020 _a9781000637120
_q(electronic book)
020 _a1000637123
_q(electronic book)
020 _z036756520X
020 _a9781003098164
_q(electronic book)
024 7 _a10.1201/9781003098164
_2doi
037 _a9781003098164
_bTaylor & Francis
042 _apcc
050 0 0 _aQA174.7.S96
072 7 _aMAT
_x012000
_2bisacsh
072 7 _aMAT
_x002030
_2bisacsh
072 7 _aPBF
_2bicssc
049 _aMAIN
100 1 _aCrass, Scott,
_eauthor.
_964267
245 1 0 _aPolynomials, dynamics, and choice :
_bthe price we pay for symmetry /
_cScott Crass, California State University, Long Beach, USA.
250 _aFirst edition.
263 _a2209
264 1 _aBoca Raton :
_bC&H/CRC Press,
_c[2023]
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
341 0 _atextual
_2sapdv
_3EBSCOhost
504 _aIncludes bibliographical references and index.
520 _a"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"--
_cProvided by publisher.
532 0 _3EBSCOhost
_a"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.
588 _aDescription based on print version record and CIP data provided by publisher; resource not viewed.
650 0 _aSymmetry (Mathematics)
_964268
650 0 _aPolynomials.
_964269
650 7 _aMATHEMATICS
_xGeometry
_xGeneral.
_2bisacsh
_964270
650 7 _aMATHEMATICS
_xAlgebra
_xElementary.
_2bisacsh
_964271
655 4 _aElectronic books.
_958574
776 0 8 _iPrint version:
_aCrass, Scott.
_tPolynomials, dynamics, and choice
_bFirst edition.
_dBoca Raton : C&H/CRC Press, [2023]
_z9780367565206
_w(DLC) 2022011792
856 4 0 _3EBSCOhost
_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3293871
938 _aEBSCOhost
_bEBSC
_n3293871
938 _aYBP Library Services
_bYANK
_n302902403
994 _a92
_bN$T
999 _c55954
_d55954