an invitation to algebraic geometry universitext

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An Invitation To Algebraic Geometry

Author : Karen E. Smith
ISBN : 9781475744972
Genre : Mathematics
File Size : 51. 93 MB
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This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

Algebraic Geometry

Author : Thomas A. Garrity
ISBN : 9780821893968
Genre : Mathematics
File Size : 74. 45 MB
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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

Algebraic Geometry

Author : Elena Rubei
ISBN : 9783110316230
Genre : Mathematics
File Size : 20. 15 MB
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Algebraic geometry is one of the most classic subjects of university research in mathematics. It has a very complicated language that makes life very difficult for beginners. This book is a little dictionary of algebraic geometry: for every of the most common words in algebraic geometry, it contains its definition, several references and the statements of the main theorems about that term (without their proofs). Also some terms of other subjects, close to algebraic geometry, have been included. It was born to help beginners that know some basic facts of algebraic geometry, but not every basic fact, to follow seminars and to read papers, by providing them with basic definitions and statements. The form of a dictionary makes it very easy and quick to consult.

Higher Dimensional Algebraic Geometry

Author : Olivier Debarre
ISBN : 0387952276
Genre : Mathematics
File Size : 56. 51 MB
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The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily accessible introduction to the subject. The book starts with preparatory and standard definitions and results, then moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Moris minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction.

Bulletin Of The Ams

Author :
ISBN : UOM:39076002531262
Genre : Mathematics
File Size : 23. 45 MB
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Documenta Mathematica

Author :
ISBN : UOM:39015057322375
Genre : Mathematics
File Size : 35. 49 MB
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Aspects Of Brownian Motion

Author : Roger Mansuy
ISBN : 3540499660
Genre : Mathematics
File Size : 63. 71 MB
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Stochastic calculus and excursion theory are very efficient tools for obtaining either exact or asymptotic results about Brownian motion and related processes. This book focuses on special classes of Brownian functionals, including Gaussian subspaces of the Gaussian space of Brownian motion; Brownian quadratic funtionals; Brownian local times; Exponential functionals of Brownian motion with drift; Time spent by Brownian motion below a multiple of its one-sided supremum.

A Classical Invitation To Algebraic Numbers And Class Fields

Author : Harvey Cohn
ISBN : 9781461299509
Genre : Mathematics
File Size : 34. 88 MB
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"Artin's 1932 Göttingen Lectures on Class Field Theory" and "Connections between Algebrac Number Theory and Integral Matrices"

An Invitation To Morse Theory

Author : Liviu Nicolaescu
ISBN : 146141105X
Genre : Mathematics
File Size : 46. 92 MB
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This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology, and will also be of interest to researchers. This is the first textbook to include topics such as Morse-Smale flows, Floer homology, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. The reader is expected to have some familiarity with cohomology theory and differential and integral calculus on smooth manifolds. Some features of the second edition include added applications, such as Morse theory and the curvature of knots, the cohomology of the moduli space of planar polygons, and the Duistermaat-Heckman formula. The second edition also includes a new chapter on Morse-Smale flows and Whitney stratifications, many new exercises, and various corrections from the first edition.

Applied Stochastic Control Of Jump Diffusions

Author : Bernt Øksendal
ISBN : 3540698256
Genre : Business & Economics
File Size : 76. 65 MB
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Here is a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and its applications. Discussion includes the dynamic programming method and the maximum principle method, and their relationship. The text emphasises real-world applications, primarily in finance. Results are illustrated by examples, with end-of-chapter exercises including complete solutions. The 2nd edition adds a chapter on optimal control of stochastic partial differential equations driven by Lévy processes, and a new section on optimal stopping with delayed information. Basic knowledge of stochastic analysis, measure theory and partial differential equations is assumed.

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