MARC record from Internet Archive

LEADER: 05193cam 22008414a 4500
001 ocm50440844
003 OCoLC
005 20211102232653.0
008 020806s2003 maua b 001 0 eng
010 $a 2002031991
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042 $apcc
050 00 $aQA212$b.P47 2003
082 00 $a512.9/4$221
084 $a31.01$2bcl
084 $aSK 200$2rvk
100 1 $aPesic, Peter.
245 10 $aAbel's proof :$ban essay on the sources and meaning of mathematical unsolvability /$cPeter Pesic.
260 $aCambridge, Mass. :$bMIT Press,$c©2003.
300 $aviii, 213 pages :$billustrations ;$c21 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
504 $aIncludes bibliographical references and index.
505 0 $aThe scandal of the irrational -- Controversy and coefficients -- Impossibilities and imaginaries -- Spirals and seashores -- Premonitions and permutations -- Abel's proof -- Abel and Galois -- Seeing symmetries -- The order of things -- Solving the unsolvable.
520 1 $a"In 1824 a young Norwegian named Niels Henrik Abel proved conclusively that algebraic equations of the fifth order are not solvable in radicals. In this book Peter Pesic shows what an important event this was in the history of thought. Abel was twenty-one when he self-published his proof and he died five years later, poor and depressed, just before the proof started to receive wide acclaim. Abel's attempts to reach out to the mathematical elite of the day had been spurned, and he was unable to find a position that would allow him to work in peace and marry his fiancee." "But Pesic's story begins long before Abel and continues to the present day, for Abel's proof changed how we think about mathematics and its relation to the "real" world. Starting with the Greeks, who invented the idea of mathematical proof, Pesic shows how mathematics found its sources in the real world (the shapes of things, the accounting needs of merchants) and then reached beyond those sources toward something more universal. The Pythagoreans' attempts to deal with irrational numbers foreshadowed the slow emergence of abstract mathematics. Pesic focuses on the contested development of algebra - which even Newton resisted - and the gradual acceptance of the usefulness and perhaps even beauty of abstractions that seem to invoke realities with dimensions outside human experience. Pesic tells this story as a history of ideas, with mathematical details incorporated in boxes. The book also includes a new annotated translation of Abel's original proof."--Jacket
600 10 $aAbel, Niels Henrik,$d1802-1829.
650 0 $aEquations, Roots of.
600 16 $aAbel, Niels Henrik,$d1802-1829.
650 6 $aRacines des équations.
650 7 $a31.01 history of mathematics.$0(NL-LeOCL)07760184X$2bcl
600 17 $aAbel, Niels Henrik,$d1802-1829$2fast$0(OCoLC)fst00135463
650 7 $aEquations, Roots of.$2fast$0(OCoLC)fst00914511
600 17 $aAbel, Niels Henrik$d1802-1829$2gnd
650 7 $aAlgebraische Gleichung$2gnd
650 7 $aUnlösbarkeit$2gnd
650 17 $aVergelijkingen (wiskunde)$2gtt
600 17 $aAbel, Niels Henrik,$d1802-1829.$2nli
650 7 $aEquations, Roots of.$2nli
600 17 $aAbel, Niels Henrik,$d1802-1829.$2nta
600 17 $aAbel, Niels Henrik,$d(1802-1829)$2ram
650 7 $aÉquations algébriques.$2ram
650 7 $aAlgèbre$xHistoire.$2ram
600 17 $aAbel, Niels Henrik.$2swd
856 41 $3Table of contents$uhttps://www.loc.gov/catdir/toc/fy037/2002031991.html
938 $aBaker & Taylor$bBKTY$c24.95$d24.95$i0262162164$n0004067903$sactive
938 $aBrodart$bBROD$n01429574$c$14.95
938 $aBaker and Taylor$bBTCP$n2002031991
938 $aYBP Library Services$bYANK$n2047708
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994 $aZ0$bP4A
948 $hNO HOLDINGS IN P4A - 616 OTHER HOLDINGS