02327cam a22004335i 450000100090000000300040000900500170001300600190003000700150004900800410006402000360010502400350014103500260017604000190020205000140022107200170023507200230025208200210027510000330029621000280032922200270035724501210038426000420050530000140054750503380056150600430089952006250094265000170156765000250158465000140160965000260162365000170164965000240166665000370169065000140172765000560174177300600179777600360185710417348OSt20161109132703.0m d cr n 130801s2013 gw | s |||| 0|eng d a9783642362422 (Pbk)cEuro 17.997 a10.1007/978-3-642-36243-92doi a(WaSeSS)ssj0000880631 dWaSeSScIISERB 4aQA564-609 7aPBMW2bicssc 7aMAT0120102bisacsh04a516.35 AR65R2231 aArnold, Vladimir I.eauthor.10aReal Algebraic Geometry aMathematics Collection10aReal Algebraic Geometrycby Vladimir I. Arnold ; edited by Ilia Itenberg, Viatcheslav Kharlamov, Eugenii I. Shustin. aHeidelberg:bSpringer- Verlage,c2013 aix, 100p.0 aPublisher's Foreword -- Editors' Foreword -- Introduction -- 2 Geometry of Conic Sections -- 3 The Physics of Conic Sections and Ellipsoids -- 4 Projective Geometry -- 5 Complex Algebraic Curves -- 6 A Problem for School Pupils -- A Into How Many Parts do n Lines Divide the Plane?- Editors' Comments on Gudkov's Conjecture -- Notes. aLicense restrictions may limit access. aThis book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images. At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from the nineteenth century as a legacy for the twentieth century). In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you will now see, many remarkable results have been discovered). 0aMathematics. 0aGeometry, algebraic. 0aGeometry. 0aMathematical physics.14aMathematics.24aAlgebraic Geometry.24aMathematical Methods in Physics.24aGeometry.24aMathematical Applications in the Physical Sciences. 0tSpringerLink ebooks - Mathematics and Statistics (2013)08iPrinted edition:z9783642362422