Elementary Geometry Of Algebraic Curves PDF Download
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Author | : C. G. Gibson |
Publisher | : Cambridge University Press |
Total Pages | : 268 |
Release | : 1998-11-26 |
Genre | : Mathematics |
ISBN | : 9780521641401 |
Download Elementary Geometry of Algebraic Curves Book in PDF, ePub and Kindle
Here is an introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book is well illustrated and contains several hundred worked examples and exercises. From the familiar lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, while the ideas of linear systems are used to discuss the classical group structure on the cubic.
Author | : Christopher G. Gibson |
Publisher | : Cambridge University Press |
Total Pages | : 278 |
Release | : 1998-11-26 |
Genre | : Mathematics |
ISBN | : 9780521641401 |
Download Elementary Geometry of Algebraic Curves Book in PDF, ePub and Kindle
Here is an introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book is well illustrated and contains several hundred worked examples and exercises. From the familiar lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, while the ideas of linear systems are used to discuss the classical group structure on the cubic.
Author | : Christopher G. Gibson |
Publisher | : |
Total Pages | : 250 |
Release | : 1998 |
Genre | : Curves, Algebraic |
ISBN | : |
Download Elementary Geometry of Algebraic Curves Book in PDF, ePub and Kindle
Author | : Keith Kendig |
Publisher | : Courier Dover Publications |
Total Pages | : 324 |
Release | : 2015-02-18 |
Genre | : Mathematics |
ISBN | : 0486786080 |
Download Elementary Algebraic Geometry Book in PDF, ePub and Kindle
"This second edition of an introductory text is intended for advanced undergraduate and graduate students who have taken a one-year course in algebra and are familiar with complex analysis. Concrete examples and exercises illuminate chapters on curves, ring theory, arbitrary dimension, and other topics. Includes numerous updated figures specially redrawn for this edition. 2014 edition"--
Author | : C. G. Gibson |
Publisher | : Cambridge University Press |
Total Pages | : 236 |
Release | : 2001-05-17 |
Genre | : Mathematics |
ISBN | : 9780521011075 |
Download Elementary Geometry of Differentiable Curves Book in PDF, ePub and Kindle
This book is an introductory text on the differential geometry of plane curves.
Author | : Frances Clare Kirwan |
Publisher | : Cambridge University Press |
Total Pages | : 278 |
Release | : 1992-02-20 |
Genre | : Mathematics |
ISBN | : 9780521423533 |
Download Complex Algebraic Curves Book in PDF, ePub and Kindle
This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.
Author | : Klaus Hulek |
Publisher | : American Mathematical Soc. |
Total Pages | : 225 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821829521 |
Download Elementary Algebraic Geometry Book in PDF, ePub and Kindle
This book is a true introduction to the basic concepts and techniques of algebraic geometry. The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory. The introduction of new algebraic concepts is always motivated by a discussion of the corresponding geometric ideas. The main point of the book is to illustrate the interplay between abstract theory and specific examples. The book contains numerous problems that illustrate the general theory. The text is suitable for advanced undergraduates and beginning graduate students. It contains sufficient material for a one-semester course. The reader should be familiar with the basic concepts of modern algebra. A course in one complex variable would be helpful, but is not necessary.
Author | : Keith Kendig |
Publisher | : MAA |
Total Pages | : 211 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0883853531 |
Download A Guide to Plane Algebraic Curves Book in PDF, ePub and Kindle
An accessible introduction to the plane algebraic curves that also serves as a natural entry point to algebraic geometry. This book can be used for an undergraduate course, or as a companion to algebraic geometry at graduate level.
Author | : Enrico Arbarello |
Publisher | : Springer Science & Business Media |
Total Pages | : 402 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 1475753233 |
Download Geometry of Algebraic Curves Book in PDF, ePub and Kindle
In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves).
Author | : Enrico Arbarello |
Publisher | : Springer |
Total Pages | : 387 |
Release | : 2013-08-30 |
Genre | : Mathematics |
ISBN | : 9781475753240 |
Download Geometry of Algebraic Curves Book in PDF, ePub and Kindle
In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves).