Encyclopedia Of Mathematics Springer Pdf

Encyclopaedia of Mathematical Sciences

Invariant Theory and Algebraic Transformation Groups IV

82 Jahrgänge | 1988 - 2017

Beschreibung

With the Encylopaedia of Mathematical Sciences, Springer-Verlag presents a series of surveys in contemporary mathematics written by/with the cooperation of the foremost specialists worldwide. Major mathematical specialties are covered by a sequence of volumes (such as Topology, Geometry, Algebraic Geometry, Several Complex Variables, Analysis, Lie Groups and Lie Algebras, Number Theory, Partial Differential Equations, and Dynamical Systems) with several famous mathematicians acting as consulting editors. Each volume comprises several articles on closely related topics in that area.

The articles report on a topic in terms of the major concepts and results, without giving details of proofs unless these are intrinsically instructive, and situating them in the broader context of the field and of the interactions with neighbouring fields.

The series started as a joint effort with the Soviet publisher VINITI.

Starting with Volume 100, the Encyclopaedia of Mathematical Sciences follows a new concept. Its main features are as follows: several new subseries have been launched and more are in preparation. Each new subseries has a team of editors who develops the scientific concept of the subseries.

The current new subseries are:

- Mathematical Physics: J. Fröhlich, B. Khesin, S.P. Novikov and D. Ruelle (Eds.)

- Operator Algebras and Non-Commutative Geometry: J. Cuntz, and Vaughan Jones (Eds.)

- Low-Dimensional Topology: R.V.Gamkrelidze, V.A.Vassiliev (Eds.)

- Invariant Theory and Algebraic Transformation Groups: R.V.Gamkrelidze, V.L.Popov (Eds.)

- Probability Theory: A.-S. Sznitman, S.R.S. Varadhan (Eds.)

The Encyclopaedia of Mathematical Sciences is of immediate interest to all users of mathematics, be they mathematicians themselves in the daily work in need of a reference for neighbouring fields, be they teachers of mathematics in need of a global review of a field, or appliers of mathematical results and methods such as physicists, engineers, economists etc.

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Algebraic Theory of Locally Nilpotent Derivations

This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie …

2015 | Buch

Computational Invariant Theory

This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book i

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Fundamentals of Geophysical Hydrodynamics

This newly-translated book takes the reader from the basic principles and conservation laws of hydrodynamics to the description of general atmospheric circulation. Among the topics covered are the Kelvin, Ertel and Rossby-Obukhov invariants, quasi

2011 | Buch

Modular Invariant Theory

This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained,

2011 | Buch

Homogeneous Spaces and Equivariant Embeddings

Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic ge

2008 | Buch

Standard Monomial Theory

Invariant Theoretic Approach

Schubert varieties lie at the cross roads of algebraic geometry, combinatorics, commutative algebra, and representation theory. They are an important class of subvarieties of flag varieties, interesting in their own right, and providing an inducti

2006 | Buch

Algebraic Theory of Locally Nilpotent Derivations

But, in the further development of a branch of mathematics, the human mind, encouraged by the success of its solutions, becomes conscious of its independence. It evolves from itself alone, often without appreciable in?uence from without, by means of

2006 | Buch

Mathematical Aspects of Classical and Celestial Mechanics

Third Edition

In this book we describe the basic principles, problems, and methods of cl- sical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects

2005 | Buch

Dynamics Beyond Uniform Hyperbolicity

A Global Geometric and Probabilistic Perspective

What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like phy

2005 | Buch

Projective Duality and Homogeneous Spaces

Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were u

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Introduction to Modern Number Theory

Fundamental Problems, Ideas and Theories

"Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories

2004 | Buch

Graphs on Surfaces and Their Applications

Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the …

2004 | Buch

Algebraic Transformation Groups and Algebraic Varieties

Proceedings of the conference Interesting Algebraic Varieties Arising in Algebraic Transformation Group Theory held at the Erwin Schrödinger Institute, Vienna, October 22–26, 2001

2004 | Buch

Control Theory from the Geometric Viewpoint

This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for …

2004 | Buch

Cyclic Homology in Non-Commutative Geometry

Cyclic homology was introduced in the early eighties independently by Connes and Tsygan. They came from different directions. Connes wanted to associate homological invariants to K-homology classes and to describe the index pair ing with K-theory …

2004 | Buch

Probability on Discrete Structures

Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more …

2004 | Buch

Topology II

Homotopy and Homology. Classical Manifolds

to Homotopy Theory O. Ya. Viro, D. B. Fuchs Translated from the Russian by C. J. Shaddock Contents Chapter 1. Basic Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 § 1. Terminology and Notations . . . . .

2003 | Buch

Dynamical Systems X

General Theory of Vortices

The English teach mechanics as an experimental science, while on the Continent, it has always been considered a more deductive and a priori science. Unquestionably, the English are right. * H. Poincare, Science and Hypothesis Descartes, Leibnitz …

2003 | Buch

Theory of Operator Algebras II

to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint …

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Theory of Operator Algebras III