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Singularities of Smooth Functions and Maps

Singularities of Smooth Functions and Maps Author J. Martinet
ISBN-10 0521233984
Release 1982-08-19
Pages 256
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Singularities of Smooth Functions and Maps has been writing in one form or another for most of life. You can find so many inspiration from Singularities of Smooth Functions and Maps also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Singularities of Smooth Functions and Maps book for free.



Singularity Theory

Singularity Theory Author Vladimir Igorevich Arnolʹd
ISBN-10 0521285119
Release 1981-09-17
Pages 266
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Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis. In this volume are collected seven of his survey articles from Russian Mathematical Surveys on singularity theory, the area to which he has made most contribution. These surveys contain Arnold's own analysis and synthesis of a decade's work. All those interested in singularity theory will find this an invaluable compilation. Professor C. T. C. Wall has written an introduction outlining the significance and content of the articles.



London Mathematical Society lecture note series

London Mathematical Society lecture note series Author Boris I. Botvinnik
ISBN-10 UCAL:B5111493
Release 1992
Pages
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London Mathematical Society lecture note series has been writing in one form or another for most of life. You can find so many inspiration from London Mathematical Society lecture note series also informative, and entertaining. Click DOWNLOAD or Read Online button to get full London Mathematical Society lecture note series book for free.



Isolated Singular Points on Complete Intersections

Isolated Singular Points on Complete Intersections Author Eduard Looijenga
ISBN-10 9780521286749
Release 1984-03-01
Pages 200
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This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis.



London Mathematical Society lecture note series

London Mathematical Society lecture note series Author Takao Fujita
ISBN-10 UCAL:B5111479
Release 1990
Pages
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London Mathematical Society lecture note series has been writing in one form or another for most of life. You can find so many inspiration from London Mathematical Society lecture note series also informative, and entertaining. Click DOWNLOAD or Read Online button to get full London Mathematical Society lecture note series book for free.



Lectures on the Ricci Flow

Lectures on the Ricci Flow Author Peter Topping
ISBN-10 9780521689472
Release 2006-10-12
Pages 113
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An introduction to Ricci flow suitable for graduate students and research mathematicians.



Singularities of Plane Curves

Singularities of Plane Curves Author Eduardo Casas-Alvero
ISBN-10 0521789591
Release 2000-08-31
Pages 345
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Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.



Lectures on Invariant Theory

Lectures on Invariant Theory Author Igor Dolgachev
ISBN-10 0521525489
Release 2003-08-07
Pages 220
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The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.



London Mathematical Society lecture note series

London Mathematical Society lecture note series Author Yūji Yoshino
ISBN-10 UCAL:B5111472
Release 1990
Pages
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London Mathematical Society lecture note series has been writing in one form or another for most of life. You can find so many inspiration from London Mathematical Society lecture note series also informative, and entertaining. Click DOWNLOAD or Read Online button to get full London Mathematical Society lecture note series book for free.



Differentiable Germs and Catastrophes

Differentiable Germs and Catastrophes Author Th Brocker
ISBN-10 9780521206815
Release 1975-07-17
Pages 179
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This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.



Lectures on the Theory of Water Waves

Lectures on the Theory of Water Waves Author Thomas J. Bridges
ISBN-10 9781107565562
Release 2016-01-31
Pages 300
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A range of experts contribute introductory-level lectures on active topics in the theory of water waves.



Synthetic Differential Topology

Synthetic Differential Topology Author Marta Bunge
ISBN-10 9781108563352
Release 2018-03-29
Pages 223
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This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of topos theory and synthetic differential geometry necessary for the remainder, this clear and comprehensive text covers the general theory of synthetic differential topology and several applications of it to classical mathematics, including the calculus of variations, Mather's theorem, and Morse theory on the classification of singularities. The book represents the state of the art in synthetic differential topology and will be of interest to researchers in topos theory and to mathematicians interested in the categorical foundations of differential geometry and topology.



Maximal Cohen Macaulay Modules Over Cohen Macaulay Rings

Maximal Cohen Macaulay Modules Over Cohen Macaulay Rings Author Y. Yoshino
ISBN-10 0521356946
Release 1990-06-28
Pages 177
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The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists.



Complex Algebraic Curves

Complex Algebraic Curves Author Frances Clare Kirwan
ISBN-10 0521423538
Release 1992-02-20
Pages 264
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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.



Double Affine Hecke Algebras

Double Affine Hecke Algebras Author Ivan Cherednik
ISBN-10 1139441256
Release 2005-03-24
Pages
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This is an essentially self-contained monograph in an intriguing field of fundamental importance for Representation Theory, Harmonic Analysis, Mathematical Physics, and Combinatorics. It is a major source of general information about the double affine Hecke algebra, also called Cherednik's algebra, and its impressive applications. Chapter 1 is devoted to the Knizhnik-Zamolodchikov equations attached to root systems and their relations to affine Hecke algebras, Kac-Moody algebras, and Fourier analysis. Chapter 2 contains a systematic exposition of the representation theory of the one-dimensional DAHA. It is the simplest case but far from trivial with deep connections in the theory of special functions. Chapter 3 is about DAHA in full generality, including applications to Macdonald polynomials, Fourier transforms, Gauss-Selberg integrals, Verlinde algebras, and Gaussian sums. This book is designed for mathematicians and physicists, experts and students, for those who want to master the double Hecke algebra technique. Visit http://arxiv.org/math.QA/0404307 to read Chapter 0 and selected topics from other chapters.



Partial Differential Equations and Fluid Mechanics

Partial Differential Equations and Fluid Mechanics Author James C. Robinson
ISBN-10 9780521125123
Release 2009-07-16
Pages 257
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Recent years have seen considerable research activity at the interface of mathematics and fluid mechanics, particularly partial differential equations. The 2007 workshop at the University of Warwick was organised to consolidate, survey and further advance the subject. This volume is an outgrowth of that workshop. It consists of a number of reviews and a selection of more traditional research articles. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves as both a helpful overview for graduate students new to the area and a useful resource for more established researchers.



Singularities of the Minimal Model Program

Singularities of the Minimal Model Program Author János Kollár
ISBN-10 9781107035348
Release 2013-02-21
Pages 370
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An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.