undergraduate algebraic geometry london mathematical society student texts

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Author : Miles Reid
ISBN : 0521356628
Genre : Mathematics
File Size : 35. 17 MB
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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
ISBN : 0521458897
Genre : Mathematics
File Size : 61. 68 MB
Format : PDF
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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
ISBN : 9780821833070
Genre : Mathematics
File Size : 90. 70 MB
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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.

Steps In Commutative Algebra

Author : R. Y. Sharp
ISBN : 0521646235
Genre : Mathematics
File Size : 29. 33 MB
Format : PDF
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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.

Complex Algebraic Curves

Author : Frances Clare Kirwan
ISBN : 0521423538
Genre : Mathematics
File Size : 21. 39 MB
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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
ISBN : 9780821893968
Genre : Mathematics
File Size : 79. 91 MB
Format : PDF
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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

Ebene Algebraische Kurven

Author : Egbert Brieskorn
ISBN : UOM:39015049066551
Genre : Mathematics
File Size : 80. 34 MB
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Algebraic And Analytic Geometry

Author : Amnon Neeman
ISBN : 9780521709835
Genre : Mathematics
File Size : 64. 59 MB
Format : PDF
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Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

Using The Mathematics Literature

Author : Kristine K. Fowler
ISBN : 0824750357
Genre : Language Arts & Disciplines
File Size : 39. 33 MB
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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
ISBN : 9780199676163
Genre : Mathematics
File Size : 68. 23 MB
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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.

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