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"This book is concerned with one of the most fundamental question of mathematics: the relationship between algebraic formulas and geometric images. At one of the first international mathematic 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 ninteenth 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)" -- P. 4 of cover.
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Real Algebraic Geometry
2013, Springer Berlin Heidelberg, Imprint: Springer
electronic resource /
in English
3642362435 9783642362439
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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).
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