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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