Download E-books Elementary Geometry of Algebraic Curves: An Undergraduate Introduction PDF

This is an advent to airplane algebraic curves from a geometrical perspective, designed as a primary textual content for undergraduates in arithmetic, or for postgraduate and examine employees within the engineering and actual sciences. The ebook is definitely illustrated and comprises a number of hundred labored examples and workouts. From the commonly used traces and conics of user-friendly geometry the reader proceeds to common curves within the genuine affine airplane, with tours to extra basic fields to demonstrate functions, corresponding to quantity conception. via including issues at infinity the affine aircraft is prolonged to the projective aircraft, yielding a common environment for curves and supplying a flood of illumination into the underlying geometry. A minimum volume of algebra ends up in the well-known theorem of Bezout, whereas the guidelines of linear structures are used to debate the classical staff constitution at the cubic.

Show description

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

Similar Algebraic Geometry books

A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics Series)

Algebraic topology is a uncomplicated a part of glossy arithmetic, and a few wisdom of this region is integral for any complicated paintings in relation to geometry, together with topology itself, differential geometry, algebraic geometry, and Lie teams. This ebook presents a close therapy of algebraic topology either for academics of the topic and for complex graduate scholars in arithmetic both focusing on this region or carrying on with directly to different fields.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of easy examples and methods during this quarter. compatible for self-study via a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a winning Springer writer.

The Geometry of Schemes (Graduate Texts in Mathematics)

Grothendieck’s appealing conception of schemes permeates smooth algebraic geometry and underlies its purposes to quantity concept, physics, and utilized arithmetic. this straightforward account of that concept emphasizes and explains the common geometric innovations in the back of the definitions. within the booklet, suggestions are illustrated with basic examples, and specific calculations convey how the structures of scheme concept are performed in perform.

Geometric Algebra

This vintage textual content, written by means of one of many most popular mathematicians of the twentieth century, is now on hand in a reasonable paperback version. Exposition is established at the foundations of affine geometry, the geometry of quadratic varieties, and the constitution of the overall linear team. Context is broadened by way of the inclusion of projective and symplectic geometry and the constitution of symplectic and orthogonal teams.

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

Show sample text content

Rated 4.11 of 5 – based on 12 votes