By C. G. Gibson

ISBN-10: 0521641403

ISBN-13: 9780521641401

ISBN-10: 0521646413

ISBN-13: 9780521646413

this can be a actual creation to airplane algebraic curves from a geometrical standpoint, designed as a primary textual content for undergraduates in arithmetic, or for postgraduate and examine staff within the engineering and actual sciences. The booklet comprises numerous hundred labored examples and routines, making it appropriate for adoption as a direction textual content. From the traces and conics of hassle-free geometry the reader proceeds to basic curves within the actual affine airplane, with tours to extra common fields to demonstrate functions, corresponding to quantity idea. by means of including issues at infinity the affine aircraft is prolonged to the projective aircraft, yielding a typical environment for curves and delivering a flood of illumination into the underlying geometry. A minimum quantity of algebra results in the recognized theorem of Bezout, while the guidelines of linear structures are used to debate the classical workforce constitution at the cubic.

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Elementary Geometry of Algebraic Curves: An Undergraduate Introduction by C. G. Gibson

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