LEADER 01844nam 2200481I 450 001 9910701914703321 005 20151218160733.0 035 $a(CKB)5470000002422975 035 $a(OCoLC)932750272 035 $a(EXLCZ)995470000002422975 100 $a20151218j201204 ua 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aUse of commercial electrical, electronic and electromechanical (EEE) parts in NASA's commercial crew program (CCP) /$fOscar Gonzalez 210 1$aHampton, Virginia :$cNational Aeronautics and Space Administration, Langley Research Center,$dApril 2012. 215 $a1 online resource (43 pages) $ccolor illustrations 225 1 $aNASA/TM ;$v2012-217558 300 $aTitle from title screen (viewed on Dec. 18, 2015). 300 $a"April 2012." 320 $aIncludes bibliographical references. 517 $aUse of commercial electrical, electronic and electromechanical 606 $aElectromechanics$2nasat 606 $aSpace transportation$2nasat 606 $aElectrical engineering$2nasat 606 $aCommercial off-the-shelf products$2nasat 606 $aCost effectiveness$2nasat 615 7$aElectromechanics. 615 7$aSpace transportation. 615 7$aElectrical engineering. 615 7$aCommercial off-the-shelf products. 615 7$aCost effectiveness. 700 $aGonza?lez$b Oscar$0725075 712 02$aLangley Research Center, 712 02$aUnited States.$bNational Aeronautics and Space Administration, 801 0$bGPO 801 1$bGPO 906 $aBOOK 912 $a9910701914703321 996 $aUse of commercial electrical, electronic and electromechanical (EEE) parts in NASA's commercial crew program (CCP)$93458008 997 $aUNINA LEADER 04934nam 22006015 450 001 9910300129503321 005 20200630115116.0 010 $a3-319-94773-7 024 7 $a10.1007/978-3-319-94773-0 035 $a(CKB)4100000005471752 035 $a(DE-He213)978-3-319-94773-0 035 $a(MiAaPQ)EBC6226857 035 $a(PPN)229916767 035 $a(EXLCZ)994100000005471752 100 $a20180807d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA History of Abstract Algebra $eFrom Algebraic Equations to Modern Algebra /$fby Jeremy Gray 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XXIV, 415 p. 18 illus.) 225 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085 311 $a3-319-94772-9 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 1 Simple quadratic forms -- 2 Fermat?s Last Theorem -- 3 Lagrange?s theory of quadratic forms -- 4 Gauss?s Disquisitiones Arithmeticae -- 5 Cyclotomy -- 6 Two of Gauss?s proofs of quadratic reciprocity -- 7 Dirichlet?s Lectures -- 8 Is the quintic unsolvable? -- 9 The unsolvability of the quintic -- 10 Galois?s theory -- 11 After Galois ? Introduction -- 12 Revision and first assignment -- 13 Jordan?s Traité -- 14 Jordan and Klein -- 15 What is ?Galois theory?? -- 16 Algebraic number theory: cyclotomy -- 17 Dedekind?s first theory of ideals -- 18 Dedekind?s later theory of ideals -- 19 Quadratic forms and ideals -- 20 Kronecker?s algebraic number theory -- 21 Revision and second assignment -- 22 Algebra at the end of the 19th century -- 23 The concept of an abstract field -- 24 Ideal theory -- 25 Invariant theory -- 26 Hilbert?s Zahlbericht -- 27 The rise of modern algebra ? group theory -- 28 Emmy Noether -- 29 From Weber to van der Waerden -- 30 Revision and final assignment -- A Polynomial equations in the 18th Century -- B Gauss and composition of forms -- C Gauss on quadratic reciprocity -- D From Jordan?s Traité -- E Klein?s Erlanger Programm -- F From Dedekind?s 11th supplement -- G Subgroups of S4 and S5 -- H Curves -- I Resultants -- Bibliography -- Index. 330 $aThis textbook provides an accessible account of the history of abstract algebra, tracing a range of topics in modern algebra and number theory back to their modest presence in the seventeenth and eighteenth centuries, and exploring the impact of ideas on the development of the subject. Beginning with Gauss?s theory of numbers and Galois?s ideas, the book progresses to Dedekind and Kronecker, Jordan and Klein, Steinitz, Hilbert, and Emmy Noether. Approaching mathematical topics from a historical perspective, the author explores quadratic forms, quadratic reciprocity, Fermat?s Last Theorem, cyclotomy, quintic equations, Galois theory, commutative rings, abstract fields, ideal theory, invariant theory, and group theory. Readers will learn what Galois accomplished, how difficult the proofs of his theorems were, and how important Camille Jordan and Felix Klein were in the eventual acceptance of Galois?s approach to the solution of equations. The book also describes the relationship between Kummer?s ideal numbers and Dedekind?s ideals, and discusses why Dedekind felt his solution to the divisor problem was better than Kummer?s. Designed for a course in the history of modern algebra, this book is aimed at undergraduate students with an introductory background in algebra but will also appeal to researchers with a general interest in the topic. With exercises at the end of each chapter and appendices providing material difficult to find elsewhere, this book is self-contained and therefore suitable for self-study. . 410 0$aSpringer Undergraduate Mathematics Series,$x1615-2085 606 $aMathematics 606 $aHistory 606 $aAlgebra 606 $aNumber theory 606 $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 615 0$aMathematics. 615 0$aHistory. 615 0$aAlgebra. 615 0$aNumber theory. 615 14$aHistory of Mathematical Sciences. 615 24$aAlgebra. 615 24$aNumber Theory. 676 $a512.02 700 $aGray$b Jeremy$4aut$4http://id.loc.gov/vocabulary/relators/aut$053883 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300129503321 996 $aA History of Abstract Algebra$91912862 997 $aUNINA