LEADER 00952nam0-22003011i-450- 001 990007918930403321 005 20041027131047.0 035 $a000791893 035 $aFED01000791893 035 $a(Aleph)000791893FED01 035 $a000791893 100 $a20040920d2002----km-y0itay50------ba 101 0 $aeng 102 $aDE 105 $aa-------001yy 200 1 $aRegional specialization and employment dynamics in transition countries$fIulia Traistaru and Guntram B. Wolff 210 $aBonn$cZentrum für europäische Integrationforschung$d2002 215 $a32 p.$d21 cm 225 1 $aZEI Working Papers$v18 700 1$aTraistaru,$bIulia$0290740 701 1$aWolff,$bGuntram B.$0314926 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990007918930403321 952 $aPaper 96/02.18$fSES 959 $aSES 996 $aRegional specialization and employment dynamics in transition countries$9669443 997 $aUNINA LEADER 03332oam 2200421 450 001 9910300152103321 005 20190911112725.0 010 $a3-319-01733-0 024 7 $a10.1007/978-3-319-01733-4 035 $a(OCoLC)865554668 035 $a(MiFhGG)GVRL6VGA 035 $a(EXLCZ)993710000000058099 100 $a20131029d2014 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 13$aAn algebraic approach to geometry $egeometric trilogy II /$fFrancis Borceux 205 $a1st ed. 2014. 210 1$aCham, Switzerland :$cSpringer,$d2014. 215 $a1 online resource (xvii, 430 pages) $cillustrations 225 0 $aGale eBooks 300 $aDescription based upon print version of record. 311 $a3-319-01732-2 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Preface -- 1.The Birth of Analytic Geometry -- 2.Affine Geometry -- 3.More on Real Affine Spaces -- 4.Euclidean Geometry -- 5.Hermitian Spaces -- 6.Projective Geometry -- 7.Algebraic Curves -- Appendices: A. Polynomials Over a Field -- B. Polynomials in Several Variables -- C. Homogeneous Polynomials -- D. Resultants -- E. Symmetric Polynomials -- F. Complex Numbers -- G. Quadratic Forms -- H. Dual Spaces -- Index -- Bibliography. 330 $aThis is a unified treatment of the various algebraic approaches to geometric spaces. The study of algebraic curves in the complex projective plane is the natural link between linear geometry at an undergraduate level and algebraic geometry at a graduate level, and it is also an important topic in geometric applications, such as cryptography.    380 years ago, the work of Fermat and Descartes led us to study geometric problems using coordinates and equations. Today, this is the most popular way of handling geometrical problems. Linear algebra provides an efficient tool for studying all the first degree (lines, planes, ?) and second degree (ellipses, hyperboloids, ?) geometric figures, in the affine, the Euclidean, the Hermitian and the projective contexts. But recent applications of mathematics, like cryptography, need these notions not only in real or complex cases, but also in more general settings, like in spaces constructed on finite fields. And of course, why not also turn our attention to geometric figures of higher degrees? Besides all the linear aspects of geometry in their most general setting, this book also describes useful algebraic tools for studying curves of arbitrary degree and investigates results as advanced as the Bezout theorem, the Cramer paradox, topological group of a cubic, rational curves etc.    Hence the book is of interest for all those who have to teach or study linear geometry: affine, Euclidean, Hermitian, projective; it is also of great interest to those who do not want to restrict themselves to the undergraduate level of geometric figures of degree one or two. 606 $aGeometry, Algebraic 615 0$aGeometry, Algebraic. 676 $a516.352 700 $aBorceux$b Francis$4aut$4http://id.loc.gov/vocabulary/relators/aut$054604 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910300152103321 996 $aAn Algebraic Approach to Geometry$92522505 997 $aUNINA