Author: Miles Reid
Publisher: Cambridge University Press
ISBN: 0521356628
Release Date: 1988-12-15
Genre: Mathematics

This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time.

Undergraduate Commutative Algebra

Author: Miles Reid
Publisher: Cambridge University Press
ISBN: 0521458897
Release Date: 1995-11-30
Genre: Mathematics

In this well-written introduction to commutative algebra, the author shows the link between commutative ring theory and algebraic geometry. In addition to standard material, the book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory. Professor Reid begins with a discussion of modules and Noetherian rings before moving on to finite extensions and the Noether normalization. Sections on the nullstellensatz and rings of fractions precede sections on primary decomposition and normal integral domains. This book is ideal for anyone seeking a primer on commutative algebra.

A Scrapbook of Complex Curve Theory

Author: Charles Herbert Clemens
Publisher: American Mathematical Soc.
ISBN: 9780821833070
Release Date: 2002-12-10
Genre: Mathematics

This fine book by Herb Clemens quickly became a favorite of many algebraic geometers when it was first published in 1980. It has been popular with novices and experts ever since. It is written as a book of ``impressions'' of a journey through the theory of complex algebraic curves. Many topics of compelling beauty occur along the way. A cursory glance at the subjects visited reveals a wonderfully eclectic selection, from conics and cubics to theta functions, Jacobians, and questions of moduli. By the end of the book, the theme of theta functions becomes clear, culminating in the Schottky problem. The author's intent was to motivate further study and to stimulate mathematical activity. The attentive reader will learn much about complex algebraic curves and the tools used to study them. The book can be especially useful to anyone preparing a course on the topic of complex curves or anyone interested in supplementing his/her reading.

Complex Algebraic Curves

Author: Frances Clare Kirwan
Publisher: Cambridge University Press
ISBN: 0521423538
Release Date: 1992-02-20
Genre: Mathematics

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.

Algebraic Geometry

Author: Thomas A. Garrity
Publisher: American Mathematical Soc.
ISBN: 9780821893968
Release Date: 2013-02-01
Genre: Mathematics

Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of ex

Steps in Commutative Algebra

Author: R. Y. Sharp
Publisher: Cambridge University Press
ISBN: 0521646235
Release Date: 2000
Genre: Mathematics

This introductory account of commutative algebra is aimed at advanced undergraduates and first year graduate students. Assuming only basic abstract algebra, it provides a good foundation in commutative ring theory, from which the reader can proceed to more advanced works in commutative algebra and algebraic geometry. The style throughout is rigorous but concrete, with exercises and examples given within chapters, and hints provided for the more challenging problems used in the subsequent development. After reminders about basic material on commutative rings, ideals and modules are extensively discussed, with applications including to canonical forms for square matrices. The core of the book discusses the fundamental theory of commutative Noetherian rings. Affine algebras over fields, dimension theory and regular local rings are also treated, and for this second edition two further chapters, on regular sequences and Cohen–Macaulay rings, have been added. This book is ideal as a route into commutative algebra.

Algebraic and Analytic Geometry

Author: Amnon Neeman
Publisher: Cambridge University Press
ISBN: 9780521709835
Release Date: 2007-09-13
Genre: Mathematics

Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

Using the Mathematics Literature

Author: Kristine K. Fowler
Publisher: CRC Press
ISBN: 0824750357
Release Date: 2004-05-25
Genre: Language Arts & Disciplines

This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.

An Introduction to Algebraic Geometry and Algebraic Groups

Author: Meinolf Geck
Publisher: Oxford University Press
ISBN: 9780199676163
Release Date: 2013-03-14
Genre: Mathematics

An accessible text introducing algebraic groups at advanced undergraduate and early graduate level, this book covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields.

Elementare Algebraische Geometrie

Author: Klaus Hulek
Publisher: Springer-Verlag
ISBN: 9783322802217
Release Date: 2013-03-07
Genre: Mathematics

Dieses Buch gibt eine Einführung in die Algebraische Geometrie. Ziel ist es, die grundlegenden Begriffe und Techniken der algebraischen Geometrie zusammen mit einer Reihe von Beispielen darzustellen.

Set Theory for the Working Mathematician

Author: Krzysztof Ciesielski
Publisher: Cambridge University Press
ISBN: 0521594650
Release Date: 1997-08-28
Genre: Mathematics

Presents those methods of modern set theory most applicable to other areas of pure mathematics.

Ebene algebraische Kurven

Author: Gerd Fischer
Publisher: Springer-Verlag
ISBN: 9783322803115
Release Date: 2013-03-07
Genre: Mathematics

Neben den elementaren Dingen, wie Tangenten, Singularitäten und Wendepunkten werden auch schwierigere Begriffe wie lokale Zweige und Geschlecht behandelt. Höhepunkte sind die klassischen Formeln von Plücker und Clebsch, die Beziehungen zwischen verschiedenen globalen und lokalen Invarianten einer Kurve beschreiben.

Revue de math matique l mentaires

Author:
Publisher:
ISBN: CORNELL:31924064499977
Release Date: 1989
Genre: Mathematics

Elemente der Mathematik (EL) publishes survey articles about important developments in the field of mathematics; stimulating shorter communications that tackle more specialized questions; and papers that report on the latest advances in mathematics and applications in other disciplines. The journal does not focus on basic research. Rather, its articles seek to convey to a wide circle of readers - teachers, students, engineers, professionals in industry and administration - the relevance, intellectual challenge and vitality of mathematics today. The Problems Section, covering a diverse range of exercises of varying degrees of difficulty, encourages an active grappling with mathematical problems.

Riemann Surfaces and Algebraic Curves

Author: Renzo Cavalieri
Publisher: Cambridge University Press
ISBN: 9781107149243
Release Date: 2016-09-30
Genre: Mathematics

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.