TY - BOOK ID - 7911607 TI - Real Algebraic Geometry AU - Arnold, Vladimir I. AU - Itenberg, Ilia. AU - Kharlamov, Viatcheslav. AU - Shustin, Eugenii I. PY - 2013 SN - 3642362427 3642362435 PB - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, DB - UniCat KW - Mathematics KW - Physical Sciences & Mathematics KW - Geometry KW - Mathematics. KW - Algebraic geometry. KW - Mathematical physics. KW - Geometry. KW - Physics. KW - Algebraic Geometry. KW - Mathematical Methods in Physics. KW - Mathematical Applications in the Physical Sciences. KW - Geometry, algebraic. KW - Euclid's Elements KW - Physical mathematics KW - Physics KW - Algebraic geometry KW - Geometry, Algebraic. KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics UR - https://www.unicat.be/uniCat?func=search&query=sysid:7911607 AB - This 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). ER -