Exploring numerous of the evolutionary branches of the mathematical idea of genus, this ebook lines the assumption from its prehistory in difficulties of integration, via algebraic curves and their linked Riemann surfaces, into algebraic surfaces, and at last into greater dimensions. Its value in research, algebraic geometry, quantity thought and topology is emphasised via many theorems. nearly each bankruptcy is geared up round excerpts from a learn paper within which a brand new viewpoint was once triggered the genus or on one of many gadgets to which this idea applies. 
 
The writer was once inspired via the idea topic may perhaps most sensible be understood and communicated by means of learning its large strains of improvement, feeling the way in which one arrives on the definitions of its primary notions, and appreciating the quantity of attempt spent as a way to discover its phenomena.

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