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.

Show description

Read or Download Elementary Geometry of Algebraic Curves: An Undergraduate Introduction PDF

Similar geometry & topology books

Read e-book online The Geometry of Special Relativity PDF

The Geometry of specific Relativity offers an creation to big relativity that encourages readers to work out past the formulation to the deeper geometric constitution. The textual content treats the geometry of hyperbolas because the key to knowing specified relativity. This technique replaces the ever present γ image of most traditional remedies with the best hyperbolic trigonometric services.

Differential Geometry of Curves and Surfaces: A Concise - download pdf or read online

Central topics coated comprise curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov international attitude comparision theoremMany nontrivial and unique difficulties (some with tricks and solutions)Standard theoretical fabric is mixed with tougher theorems and intricate difficulties, whereas keeping a transparent contrast among the 2 degrees

Download e-book for iPad: Geometry: Our Cultural Heritage by Audun Holme

It is a revised variation of the ? rst printing which seemed in 2002. The e-book is predicated on lectures on the college of Bergen, Norway. through the years those lectures have lined many alternative elements and points of the fantastic ? eld of geometry. for this reason it hasn't ever been attainable to provide a whole and ?

Get Leitfaden Geometrie: Für Studierende der Lehrämter (German PDF

Der Leitfaden Geometrie führt Lehramtsstudierende in zentrale Teilgebiete der Geometrie ein. Durchgängige Orientierung an Erkenntnissen der Lernpsychologie und Textproduktion, beispielorientiertes Entdecken mathematischer Sätze und Beweise, Motivation durch interessante Quereinstiege und vielfältige Bezüge zu Alltagsfragestellungen kennzeichnen die Konzeption des Leitfadens Geometrie.

Extra resources for Elementary Geometry of Algebraic Curves: An Undergraduate Introduction

Sample text

Download PDF sample

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


by Richard
4.4

Rated 4.32 of 5 – based on 48 votes