000 04006cam a22005178i 4500
001 on1396814235
003 OCoLC
005 20241121073153.0
006 m d
007 cr |||||||||||
008 230614s2023 nyu ob 001 0 eng
010 _a 2023027552
040 _aDLC
_beng
_erda
_cDLC
_dOCLCO
_dUKAHL
_dN$T
020 _a9798886979725
_q(electronic bk.)
020 _z9798886979084
_q(paperback)
035 _a3619759
_b(N$T)
035 _a(OCoLC)1396814235
042 _apcc
050 0 0 _aQA215
082 0 0 _a512.9/422
_223/eng20230911
049 _aMAIN
100 1 _aKault, David,
_eauthor.
_924436
245 1 4 _aThe impossible quintic made as simple as possible /
_cby David Kault PhD, Graeme Sneddon PhD and Sam Kault PhD.
263 _a2308
264 1 _aNew York :
_bNova Science Publishers,
_c[2023]
300 _a1 online resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aTheoretical and applied mathematics
504 _aIncludes bibliographical references and index.
520 _a"In 1832, just before his untimely death, twenty year old French mathematical genius, Everiste Galois spent the whole night rewriting the new mathematics he had discovered. It gave an amazing answer to a mathematical problem from antiquity. He could not know it then, but his new mathematics also enabled our modern world through its application to quantum mechanics and coding theory. His new mathematics wasn't easy and Galois' overly brief writing style had rendered a previous draft of his ideas incomprehensible to the top mathematicians of the day. However, he did know that he might not have much time to give this new mathematics to the world. He was right - he was mortally wounded in a duel the next day. It has since been useful to put Galois theory within a framework of more abstract algebraic concepts, but this has made his work accessible only to those with advanced mathematics. This book follows Galois' original approach but avoids his overly brief style. Instead, unlike other books, it makes Galois' amazing mathematical ideas accessible to those with just university entrance level mathematics. Quadratic equations were solved with the help of square roots in ancient times. Equations with an x3 and those with an x4 term were solved 500 years ago with the help of cube roots and fourth roots, though with increasingly difficult formulas. Galois showed that a formula with square roots, cube roots and fourth and fifth roots, cannot be obtained for the quintic - an equation with an x5 term. It is not just that any potential formula would be so long and difficult that it has not yet been discovered, it is absolutely impossible. The proof of this impossibility is long and occupies this whole book, but readers are rewarded by getting to understand something that at first sight may seem impossible, a proof of impossibility. Readers will also be rewarded by getting to fully understand the series of startlingly clever mathematical manipulations of a genius"--
_cProvided by publisher.
588 _aDescription based on print version record and CIP data provided by publisher; resource not viewed.
590 _aAdded to collection customer.56279.3
650 0 _aQuintic equations.
_924437
650 0 _aGalois theory.
_924438
650 6 _a�Equations du cinqui�eme degr�e.
_924439
650 6 _aTh�eorie de Galois.
_924440
700 1 _aSneddon, Graeme,
_eauthor.
_924441
700 1 _aKault, Sam,
_eauthor.
_924442
776 0 8 _iPrint version:
_aKault, David.
_tImpossible quintic made as simple as possible
_dNew York : Nova Science Publishers, [2023]
_z9798886979084
_w(DLC) 2023027551
856 4 0 _3EBSCOhost
_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3619759
938 _aAskews and Holts Library Services
_bASKH
_nAH41642310
938 _aEBSCOhost
_bEBSC
_n3619759
994 _a92
_bN$T
999 _c8961
_d8961