Algebraic Geometry

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Algebraic Geometry

Algebraic Geometry

  • Author: Solomon Lefschetz
  • Publisher: Courier Corporation
  • ISBN: 0486154726
  • Category: Mathematics
  • Page: 256
  • View: 404
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An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.

Algebraic Geometry

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Algebraic Geometry

Algebraic Geometry

  • Author: Robin Hartshorne
  • Publisher: Springer Science & Business Media
  • ISBN: 1475738498
  • Category: Mathematics
  • Page: 496
  • View: 3393
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An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Algebraic Geometry

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Algebraic Geometry

Algebraic Geometry

A First Course

  • Author: Joe Harris
  • Publisher: Springer Science & Business Media
  • ISBN: 1475721897
  • Category: Mathematics
  • Page: 330
  • View: 7283
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"This book succeeds brilliantly by concentrating on a number of core topics...and by treating them in a hugely rich and varied way. The author ensures that the reader will learn a large amount of classical material and perhaps more importantly, will also learn that there is no one approach to the subject. The essence lies in the range and interplay of possible approaches. The author is to be congratulated on a work of deep and enthusiastic scholarship." --MATHEMATICAL REVIEWS

Linear Algebra and Geometry

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Linear Algebra and Geometry

Linear Algebra and Geometry

  • Author: P. K. Suetin,Alexandra I. Kostrikin,Yu I Manin
  • Publisher: CRC Press
  • ISBN: 9789056990497
  • Category: Mathematics
  • Page: 320
  • View: 1344
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This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. The subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming. Also discussed are Kahler's metic, the theory of Hilbert polynomials, and projective and affine geometries. Unusual in its extensive use of applications in physics to clarify each topic, this comprehensice volume should be of particular interest to advanced undergraduates and graduates in mathematics and physics, and to lecturers in linear and multilinear algebra, linear programming and quantum mechanics.

Algebraic Geometry I

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Algebraic Geometry I

Algebraic Geometry I

Complex Projective Varieties

  • Author: David Mumford
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540586579
  • Category: Mathematics
  • Page: 186
  • View: 7334
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From the reviews: "Although several textbooks on modern algebraic geometry have been published in the meantime, Mumford's "Volume I" is, together with its predecessor the red book of varieties and schemes, now as before one of the most excellent and profound primers of modern algebraic geometry. Both books are just true classics!" Zentralblatt

Algebraic Geometry

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Algebraic Geometry

Algebraic Geometry

  • Author: Daniel Bump
  • Publisher: World Scientific
  • ISBN: 9789810235611
  • Category: Mathematics
  • Page: 218
  • View: 5807
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This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the deeper theory is given: some topics, such as local algebra and ramification theory, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann-Roch theorem, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves.

Commutative Algebra

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Commutative Algebra

Commutative Algebra

with a View Toward Algebraic Geometry

  • Author: David Eisenbud
  • Publisher: Springer Science & Business Media
  • ISBN: 1461253500
  • Category: Mathematics
  • Page: 800
  • View: 6025
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This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.

Linear Systems Theory & Introductory Algebraic Geometry

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Linear Systems Theory & Introductory Algebraic Geometry

Linear Systems Theory & Introductory Algebraic Geometry

  • Author: Róbert Hermann
  • Publisher: Math-Sci Press
  • ISBN: 9780915692071
  • Category: Mathematics
  • Page: 282
  • View: 6226
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Bridging Algebra, Geometry, and Topology

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Bridging Algebra, Geometry, and Topology

Bridging Algebra, Geometry, and Topology

  • Author: Denis Ibadula,Willem Veys
  • Publisher: Springer
  • ISBN: 3319091867
  • Category: Mathematics
  • Page: 289
  • View: 917
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Algebra, geometry and topology cover a variety of different, but intimately related research fields in modern mathematics. This book focuses on specific aspects of this interaction. The present volume contains refereed papers which were presented at the International Conference “Experimental and Theoretical Methods in Algebra, Geometry and Topology”, held in Eforie Nord (near Constanta), Romania, during 20-25 June 2013. The conference was devoted to the 60th anniversary of the distinguished Romanian mathematicians Alexandru Dimca and Ştefan Papadima. The selected papers consist of original research work and a survey paper. They are intended for a large audience, including researchers and graduate students interested in algebraic geometry, combinatorics, topology, hyperplane arrangements and commutative algebra. The papers are written by well-known experts from different fields of mathematics, affiliated to universities from all over the word, they cover a broad range of topics and explore the research frontiers of a wide variety of contemporary problems of modern mathematics.

Semigroups in Algebra, Geometry and Analysis

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Semigroups in Algebra, Geometry and Analysis

Semigroups in Algebra, Geometry and Analysis

  • Author: Karl H. Hofmann,Jimmie D. Lawson,Ernest B. Vinberg
  • Publisher: Walter de Gruyter
  • ISBN: 3110885581
  • Category: Mathematics
  • Page: 382
  • View: 8935
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The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany