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Author : Louis Auslander
Publisher : American Mathematical Soc.
Page : 96 pages
File Size : 44,8 Mb
Release : 1977
Category : Electronic
ISBN : 0821888803
Author : Louis Auslander
Publisher : American Mathematical Soc.
Page : 106 pages
File Size : 40,9 Mb
Release : 1977
Category : Mathematics
ISBN : 9780821816844
Consists of three chapters covering the following topics: foundations, bilinear forms and presentations of certain 2-step nilpotent Lie groups, discrete subgroups of the Heisenberg group, the automorphism group of the Heisenberg group, fundamental unitary representations of the Heisenberg group, and the Fourier transform and the Weil-Brezin map.
Author : L. Beshaj,T. Shaska,E. Zhupa
Publisher : IOS Press
Page : 387 pages
File Size : 52,7 Mb
Release : 2015-07-16
Category : Computers
ISBN : 9781614995203
This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as cryptography, mathematical physics, quantum computation and diophantine geometry, can be carried over to the superelliptic curves. Additional papers have been added which provide some background for readers who were not at the conference, with the intention of making the book logically more complete and easier to read, but familiarity with the basic facts of algebraic geometry, commutative algebra and number theory are assumed. The book is divided into three sections. The first part deals with superelliptic curves with regard to complex numbers, the automorphisms group and the corresponding Hurwitz loci. The second part of the book focuses on the arithmetic of the subject, while the third addresses some of the applications of superelliptic curves.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 40,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9789400959910
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author : M. Hazewinkel
Publisher : Springer
Page : 932 pages
File Size : 49,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781489937919
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 982 pages
File Size : 54,5 Mb
Release : 1994-02-28
Category : Mathematics
ISBN : 1556080107
The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics which exists today. With over 7,000 articles from `A-integral' to `Zygmund Class of Functions', supplemented with a wealth of complementary information, and an index volume providing thorough cross-referencing of entries of related interest, the Encyclopaedia of Mathematics offers an immediate source of reference to mathematical definitions, concepts, explanations, surveys, examples, terminology and methods. The depth and breadth of content and the straightforward, careful presentation of the information, with the emphasis on accessibility, makes the Encyclopaedia of Mathematics an immensely useful tool for all mathematicians and other scientists who use, or are confronted by, mathematics in their work. The Enclyclopaedia of Mathematics provides, without doubt, a reference source of mathematical knowledge which is unsurpassed in value and usefulness. It can be highly recommended for use in libraries of universities, research institutes, colleges and even schools.
Author : Steven George Krantz
Publisher : American Mathematical Soc.
Page : 224 pages
File Size : 42,6 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 0821889257
This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.
Author : Alan Weinstein
Publisher : American Mathematical Soc.
Page : 48 pages
File Size : 52,5 Mb
Release : 1977
Category : Mathematics
ISBN : 9780821816790
The first six sections of these notes contain a description of some of the basic constructions and results on symplectic manifolds and lagrangian submanifolds. Section 7, on intersections of largrangian submanifolds, is still mostly internal to symplectic geometry, but it contains some applications to machanics and dynamical systems. Sections 8, 9, and 10 are devoted to various aspects of the quantization problem. In Section 10 there is a feedback of ideas from quantization theory into symplectic geometry itslef.
Author : Hugh L. Montgomery
Publisher : American Mathematical Soc.
Page : 220 pages
File Size : 55,6 Mb
Release : 1994
Category : Education
ISBN : 9781470424442
This book contains lectures presented by Hugh L. Montgomery at the NSF-CBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature. This book would be an excellent resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in nu.
Author : Thomas Beth,Michael Clausen
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 54,5 Mb
Release : 1988-05-04
Category : Computers
ISBN : 354019200X
This volume contains the proceedings of the 4th International Conference on Applicable Algebra, Error-Correcting Codes, Combinatorics and Computer Algebra (AAECC-4), held in Karlsruhe, 23-26 September, 1986. Selected papers which were given at the conference have been reviewed a second time and are presented here.
Author : M. J. Shai Haran
Publisher : Oxford University Press
Page : 262 pages
File Size : 52,7 Mb
Release : 2001
Category : Language Arts & Disciplines
ISBN : 0198508689
Highly topical and original monograph, introducing the author's work on the Riemann zeta function and its adelic interpretation of interest to a wide range of mathematicians and physicists.
Author : George Lusztig
Publisher : American Mathematical Soc.
Page : 48 pages
File Size : 52,8 Mb
Release : 1978
Category : Mathematics
ISBN : 9780821816899
The notes came from a series of lectures given by the author at a CBMS Regional Conference held at Madison, Wisconsin, in August 1977. The main purpose of the notes was to show how $l$-adic cohomology of algebraic varieties over fields of positive characteristic can be used to obtain information on the representations of finite Chevalley groups.
Author : Vaughan F. R. Jones
Publisher : American Mathematical Soc.
Page : 134 pages
File Size : 50,5 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 0821889249
This book is based on a set of lectures presented by the author at the NSF-CBMS Regional Conference, Applications of Operator Algebras to Knot Theory and Mathematical Physics, held at the US Naval Academy in Annapolis in June 1988. The audience consisted of low-dimensional topologists and operator algebraists, so the speaker attempted to make the material comprehensible to both groups. He provides an extensive introduction to the theory of von Neumann algebras and to knot theory and braid groups. The presentation follows the historical development of the theory of subfactors and the ensuing applications to knot theory, including full proofs of some of the major results. The author treats in detail the Homfly and Kauffman polynomials, introduces statistical mechanical methods on knot diagrams, and attempts an analogy with conformal field theory. Written by one of the foremost mathematicians of the day, this book will give readers an appreciation of the unexpected interconnections between different parts of mathematics and physics.
Author : Carlos E. Kenig
Publisher : American Mathematical Soc.
Page : 162 pages
File Size : 51,7 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821803097
In recent years, there has been a great deal of activity in the study of boundary value problems with minimal smoothness assumptions on the coefficients or on the boundary of the domain in question. These problems are of interest both because of their theoretical importance and the implications for applications, and they have turned out to have profound and fascinating connections with many areas of analysis. Techniques from harmonic analysis have proved to be extremely useful in these studies, both as concrete tools in establishing theorems and as models which suggest what kind of result might be true. Kenig describes these developments and connections for the study of classical boundary value problems on Lipschitz domains and for the corresponding problems for second order elliptic equations in divergence form. He also points out many interesting problems in this area which remain open.
Author : Gorō Shimura
Publisher : American Mathematical Soc.
Page : 284 pages
File Size : 53,8 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 0821889370
This volume has three chief objectives: 1) the determination of local Euler factors on classical groups in an explicit rational form; 2) Euler products and Eisenstein sereis on a unitary group of an arbitrary signature; and 3) a class number formula for a totally definite hermitian form. Though these are new results that have never before been published, Shimura starts with a quite general setting. He includes many topics of an expository nature so that the book can be viewed as an introduction to the theory of automorphic forms of several variables, Hecke theory in particular. Eventually, the exposition is specialized to unitary groups, but they are treated as a model case so that the reader can easily formulate the corresponding facts for other groups. There are various facts on algebraic groups and their localiztions that are standard but were proved in some old papers or just called "well-known". In this book, the reader will find the proofs of many of them, as well as systematic expositions of the topics. This is the first book in which the Hecke theory of a general (nonsplit) classical group is treated. The book is practically self-contained, except that familiarity with algebraic number theory is assumed.