Analytic Methods in Algebraic Geometry

Analytic Methods in Algebraic Geometry PDF Author: Jean-Pierre Demailly
Publisher:
ISBN: 9787040305319
Category :
Languages : en
Pages : 231

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Book Description

Analytic Methods in Algebraic Geometry

Analytic Methods in Algebraic Geometry PDF Author: Jean-Pierre Demailly
Publisher:
ISBN: 9787040305319
Category :
Languages : en
Pages : 231

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Book Description


Algebraic and Analytic Methods in Representation Theory

Algebraic and Analytic Methods in Representation Theory PDF Author:
Publisher: Elsevier
ISBN: 0080526950
Category : Mathematics
Languages : en
Pages : 357

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Book Description
This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike.Presents several different points of view on key topics in representation theory, from internationally known experts in the field

Algebraic and Analytic Geometry

Algebraic and Analytic Geometry PDF Author: Amnon Neeman
Publisher: Cambridge University Press
ISBN: 0521709830
Category : Mathematics
Languages : en
Pages : 433

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

Introduction to Matrix Analytic Methods in Stochastic Modeling

Introduction to Matrix Analytic Methods in Stochastic Modeling PDF Author: G. Latouche
Publisher: SIAM
ISBN: 0898714257
Category : Mathematics
Languages : en
Pages : 331

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Book Description
Presents the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner.

Analytic Topology

Analytic Topology PDF Author: Gordon Thomas Whyburn
Publisher: American Mathematical Soc.
ISBN: 0821810286
Category : Mathematics
Languages : en
Pages : 295

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Book Description
"The material here presented represents an elaboration on my Colloquium Lectures delivered before the American Mathematical Society at its September, 1940 meeting at Dartmouth College." - Preface.

Analytic and Algebraic Geometry

Analytic and Algebraic Geometry PDF Author: Jeffery D. McNeal
Publisher: American Mathematical Soc.
ISBN: 0821872753
Category : Mathematics
Languages : en
Pages : 601

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Book Description
"Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and researchers in geometry, particularly complex geometry. The PCMI program was designed to partially address this language gulf, by presenting some of the active developments in algebraic and analytic geometry in a form suitable for students on the 'other side' of the analysis-algebra language divide. One focal point of the summer school was multiplier ideals, a subject of wide current interest in both subjects. The present volume is based on a series of lectures at the PCMI summer school on analytic and algebraic geometry. The series is designed to give a high-level introduction to the advanced techniques behind some recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented, in order to enhance access of this material to non-specialists."--Publisher's description.

Effective Methods in Algebraic Geometry

Effective Methods in Algebraic Geometry PDF Author: Teo Mora
Publisher: Springer Science & Business Media
ISBN: 9780817635466
Category : Mathematics
Languages : en
Pages : 524

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Book Description
The symposium "MEGA-90 - Effective Methods in Algebraic Geome try" was held in Castiglioncello (Livorno, Italy) in April 17-211990. The themes - we quote from the "Call for papers" - were the fol lowing: - Effective methods and complexity issues in commutative algebra, pro jective geometry, real geometry, algebraic number theory - Algebraic geometric methods in algebraic computing Contributions in related fields (computational aspects of group theory, differential algebra and geometry, algebraic and differential topology, etc.) were also welcome. The origin and the motivation of such a meeting, that is supposed to be the first of a series, deserves to be explained. The subject - the theory and the practice of computation in alge braic geometry and related domains from the mathematical viewpoin- has been one of the themes of the symposia organized by SIGSAM (the Special Interest Group for Symbolic and Algebraic Manipulation of the Association for Computing Machinery), SAME (Symbolic and Algebraic Manipulation in Europe), and AAECC (the semantics of the name is vary ing; an average meaning is "Applied Algebra and Error Correcting Codes").

Higher Geometry

Higher Geometry PDF Author: Frederick Shenstone Woods
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 446

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Book Description


Polyhedral and Algebraic Methods in Computational Geometry

Polyhedral and Algebraic Methods in Computational Geometry PDF Author: Michael Joswig
Publisher: Springer Science & Business Media
ISBN: 1447148177
Category : Mathematics
Languages : en
Pages : 251

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Book Description
Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry. The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations. The second part of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Gröbner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.

Introduction to Complex Analytic Geometry

Introduction to Complex Analytic Geometry PDF Author: Stanislaw Lojasiewicz
Publisher: Birkhäuser
ISBN: 3034876173
Category : Mathematics
Languages : en
Pages : 535

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Book Description
facts. An elementary acquaintance with topology, algebra, and analysis (in cluding the notion of a manifold) is sufficient as far as the understanding of this book is concerned. All the necessary properties and theorems have been gathered in the preliminary chapters -either with proofs or with references to standard and elementary textbooks. The first chapter of the book is devoted to a study of the rings Oa of holomorphic functions. The notions of analytic sets and germs are introduced in the second chapter. Its aim is to present elementary properties of these objects, also in connection with ideals of the rings Oa. The case of principal germs (§5) and one-dimensional germs (Puiseux theorem, §6) are treated separately. The main step towards understanding of the local structure of analytic sets is Ruckert's descriptive lemma proved in Chapter III. Among its conse quences is the important Hilbert Nullstellensatz (§4). In the fourth chapter, a study of local structure (normal triples, § 1) is followed by an exposition of the basic properties of analytic sets. The latter includes theorems on the set of singular points, irreducibility, and decom position into irreducible branches (§2). The role played by the ring 0 A of an analytic germ is shown (§4). Then, the Remmert-Stein theorem on re movable singularities is proved (§6). The last part of the chapter deals with analytically constructible sets (§7).