Higher Geometry: An Introduction to Advanced Methods in by Frederick S. Woods

By Frederick S. Woods

For scholars of arithmetic with a legitimate heritage in analytic geometry and a few wisdom of determinants, this quantity has lengthy been the most effective to be had expositions of complex paintings on projective and algebraic geometry. built from Professor Woods' lectures on the Massachusetts Institute of know-how, it bridges the space among intermediate experiences within the box and hugely really good works.
With unprecedented thoroughness, it offers an important common innovations and strategies of complex algebraic geometry (as distinctive from differential geometry). It bargains a radical research of one-, two-, three-, and 4-dimensional coordinated platforms, the recommendations they entail, and their linked geometrical components. This learn culminates with a dialogue of n-dimensional geometry in an summary feel, of which the sooner matters shape concrete illustrations.
As each one approach of coordinates is brought, the which means of the linear and quadratic equations is studied, with vital emphasis at the interpretation of equations in addition to on a data of helpful geometrical proof. the main of duality is stored on the leading edge, and the character of imaginary parts and the traditional personality of the locus of infinity, established upon the kind of coordinates used, are rigorously explained.

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