LEADER 06434nam 22016935 450 001 9910154744503321 005 20210409114722.0 010 $a1-4008-8223-0 024 7 $a10.1515/9781400882236 035 $a(CKB)3710000000631346 035 $a(MiAaPQ)EBC4738690 035 $a(DE-B1597)467989 035 $a(OCoLC)979836508 035 $a(DE-B1597)9781400882236 035 $a(EXLCZ)993710000000631346 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aFinite Dimensional Vector Spaces. (AM-7), Volume 7 /$fPaul R. Halmos 210 1$aPrinceton, NJ :$cPrinceton University Press,$d[2016] 210 4$dİ1947 215 $a1 online resource (206 pages) 225 0 $aAnnals of Mathematics Studies ;$v285 300 $a"Lithoprinted." 311 $a0-691-09095-5 320 $aBibliography. 327 $tPREFACE --$tTABLE OP CONTENTS --$tERRATA --$tChapter I. SPACES --$tChapter II. TRANSFORMATIONS --$tChapter III. ORTHOGONALITY --$tAPPENDIX I. THE CLASSICAL CANONICAL FORM --$tAPPENDIX II. DIRECT PRODUCTS --$tAPPENDIX III. HILBERT SPACE --$tBIBLIOGRAPHY --$tLIST OF NOTATIONS --$tINDEX OF DEFINITIONS 330 $aAs a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938--even though he did not have a fellowship--to study among the many giants of mathematics who had recently joined the faculty. He eventually became John von Neumann's research assistant, and it was one of von Neumann's inspiring lectures that spurred Halmos to write Finite Dimensional Vector Spaces. The book brought him instant fame as an expositor of mathematics. Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. The book broke ground as the first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces. The book continues to exert its influence sixty years after publication, as linear algebra is now widely used, not only in mathematics but also in the natural and social sciences, for studying such subjects as weather problems, traffic flow, electronic circuits, and population genetics. In 1983 Halmos received the coveted Steele Prize for exposition from the American Mathematical Society for "his many graduate texts in mathematics dealing with finite dimensional vector spaces, measure theory, ergodic theory, and Hilbert space." 410 0$aAnnals of mathematics studies ;$vno. 7. 606 $aTransformations (Mathematics) 606 $aGeneralized spaces 610 $aAbsolute value. 610 $aAccuracy and precision. 610 $aAddition. 610 $aAffine space. 610 $aAlgebraic closure. 610 $aAlgebraic equation. 610 $aAlgebraic operation. 610 $aAlgebraically closed field. 610 $aAssociative property. 610 $aAutomorphism. 610 $aAxiom. 610 $aBanach space. 610 $aBasis (linear algebra). 610 $aBilinear form. 610 $aBounded operator. 610 $aCardinal number. 610 $aCayley transform. 610 $aCharacteristic equation. 610 $aCharacterization (mathematics). 610 $aCoefficient. 610 $aCommutative property. 610 $aComplex number. 610 $aComplex plane. 610 $aComputation. 610 $aCongruence relation. 610 $aConvex set. 610 $aCoordinate system. 610 $aDeterminant. 610 $aDiagonal matrix. 610 $aDimension (vector space). 610 $aDimension. 610 $aDimensional analysis. 610 $aDirect product. 610 $aDirect proof. 610 $aDirect sum. 610 $aDivision by zero. 610 $aDot product. 610 $aDual basis. 610 $aEigenvalues and eigenvectors. 610 $aElementary proof. 610 $aEquation. 610 $aEuclidean space. 610 $aExistential quantification. 610 $aFunction of a real variable. 610 $aFunctional calculus. 610 $aFundamental theorem. 610 $aGeometry. 610 $aGram?Schmidt process. 610 $aHermitian matrix. 610 $aHilbert space. 610 $aInfimum and supremum. 610 $aJordan normal form. 610 $aLebesgue integration. 610 $aLinear combination. 610 $aLinear function. 610 $aLinear independence. 610 $aLinear map. 610 $aLinear programming. 610 $aLinearity. 610 $aManifold. 610 $aMathematical induction. 610 $aMathematics. 610 $aMinimal polynomial (field theory). 610 $aMinor (linear algebra). 610 $aMonomial. 610 $aMultiplication sign. 610 $aNatural number. 610 $aNilpotent. 610 $aNormal matrix. 610 $aNormal operator. 610 $aNumber theory. 610 $aOrthogonal basis. 610 $aOrthogonal complement. 610 $aOrthogonal coordinates. 610 $aOrthogonality. 610 $aOrthonormality. 610 $aPolynomial. 610 $aQuotient space (linear algebra). 610 $aQuotient space (topology). 610 $aReal number. 610 $aReal variable. 610 $aScalar (physics). 610 $aScientific notation. 610 $aSeries (mathematics). 610 $aSet (mathematics). 610 $aSign (mathematics). 610 $aSpecial case. 610 $aSpectral theorem. 610 $aSpectral theory. 610 $aSummation. 610 $aTensor calculus. 610 $aTheorem. 610 $aTopology. 610 $aTransitive relation. 610 $aUnbounded operator. 610 $aUncountable set. 610 $aUnit sphere. 610 $aUnitary transformation. 610 $aVariable (mathematics). 610 $aVector space. 615 0$aTransformations (Mathematics) 615 0$aGeneralized spaces. 676 $a512.52 700 $aHalmos$b Paul R$g(Paul Richard),$f1916-2006,$022815 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154744503321 996 $aFinite Dimensional Vector Spaces. (AM-7), Volume 7$92788312 997 $aUNINA LEADER 01884nam 2200529 450 001 9910819457403321 005 20230802011006.0 010 $a0-19-173965-0 010 $a0-19-150229-4 035 $a(UkCvUL)(CKB)2550000001176016 035 $a(UkCvUL)(MiAaPQ)EBC1591392 035 $a(UkCvUL)(StDuBDS)EDZ0000055424 035 $a(MiAaPQ)EBC1591392 035 $a(Au-PeEL)EBL1591392 035 $a(CaPaEBR)ebr10823102 035 $a(CaONFJC)MIL557302 035 $a(OCoLC)868043860 035 $a(EXLCZ)992550000001176016 100 $a20140117d2012 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aStroke /$fMichael G. Hennerici [and three others] 205 $aFirst edition. 210 1$aOxford, England :$cOxford University Press,$d2012. 210 4$dİ2012 215 $a1 online resource (195 pages) $cillustrations, tables, maps 225 0$aOxford neurology library 311 $a0-19-958280-7 311 $a1-306-26051-5 320 $aIncludes bibliographical references and index. 330 8 $aThis resource highlights the importance of stroke, its diagnosis, the problems of its misdiagnosis, and current thoughts on its pathogenesis, acute treatment and rehabilitation, as well as prevention. The book will serve as an invaluable quick reference for GPs, neurologists, cardiologists, geriatricians, trainees, and specialist nurses. 410 0$aOxford neurology library. 606 $aCerebrovascular disease 615 0$aCerebrovascular disease. 676 $a616.81 700 $aHennerici$b Michael G$01711427 701 $aHennerici$b M$g(Michael)$01711428 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819457403321 996 $aStroke$94102716 997 $aUNINA