On Stochastic Differential Equations
Author: Kiyosi Itô
Publisher: American Mathematical Soc.
Published: 1951
Total Pages: 56
ISBN-13: 0821812041
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Some Basic Hypergeometric Orthogonal Polynomials that Generalize Jacobi Polynomials
Author: Richard Askey
Publisher: American Mathematical Soc.
Published: 1985
Total Pages: 63
ISBN-13: 0821823213
DOWNLOAD EBOOKA very general set of orthogonal polynomials in one variable that extends the classical polynomials is a set we called the q-Racah polynomials. In an earlier paper we gave the orthogonality relation for these polynomials when the orthogonality is purely discrete. We now give the weight function in the general case and a number of other properties of these very interesting orthogonal polynomials.
Basic Hypergeometric Series and Applications
Author: Nathan Jacob Fine
Publisher: American Mathematical Soc.
Published: 1988
Total Pages: 142
ISBN-13: 0821815245
DOWNLOAD EBOOKThe theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian series. These series were first studied systematically by Heine, but many early results are attributed to Euler, Gauss, and Jacobi. This book provides a simple approach to basic hypergeometric series.
Modules over Commutative Regular Rings
Author: Richard S. Pierce
Publisher: American Mathematical Soc.
Published: 1967
Total Pages: 116
ISBN-13: 082181270X
DOWNLOAD EBOOKAlgebraizable Logics
Author: W. J. Blok
Publisher: Advanced Reasoning Forum
Published: 2022-07-23
Total Pages: 90
ISBN-13: 1938421183
DOWNLOAD EBOOKW. J. Blok and Don Pigozzi set out to try to answer the question of what it means for a logic to have algebraic semantics. In this seminal book they transformed the study of algebraic logic by giving a general framework for the study of logics by algebraic means. The Dutch mathematician W. J. Blok (1947-2003) received his doctorate from the University of Amsterdam in 1979 and was Professor of Mathematics at the University of Illinois, Chicago until his death in an automobile accident. Don Pigozzi (1935- ) grew up in Oakland, California, received his doctorate from the University of California, Berkeley in 1970, and was Professor of Mathematics at Iowa State University until his retirement in 2002. The Advanced Reasoning Forum is pleased to make available in its Classic Reprints series this exact reproduction of the 1989 text, with a new errata sheet prepared by Don Pigozzi.
A Comprehensive Course in Analysis
Author: Barry Simon
Publisher:
Published: 2015
Total Pages: 749
ISBN-13: 9781470411039
DOWNLOAD EBOOKA Comprehensive Course in Analysis by Poincar Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis
Stable Module Theory
Author: Maurice Auslander
Publisher: American Mathematical Soc.
Published: 1969
Total Pages: 150
ISBN-13: 0821812947
DOWNLOAD EBOOKThe notions of torsion and torsion freeness have played a very important role in module theory--particularly in the study of modules over integral domains. Furthermore, the use of homological techniques in this connection has been well established. It is the aim of this paper to extend these techniques and to show that this extension leads naturally to several new concepts (e.g. k-torsion freeness and Gorenstein dimension) which are useful in the classification of modules and rings.
Degree Theory of Immersed Hypersurfaces
Author: Harold Rosenberg
Publisher: American Mathematical Soc.
Published: 2020-09-28
Total Pages: 62
ISBN-13: 1470441853
DOWNLOAD EBOOKThe authors develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function.
Poincare and the Three Body Problem
Author: June Barrow-Green
Publisher: American Mathematical Soc.
Published: 1997
Total Pages: 294
ISBN-13: 9780821803677
DOWNLOAD EBOOKPoincare's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. In correcting this error Poincare discovered mathematical chaos, as is now clear from June Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. Poincare and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincare's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincare's subsequent highly influential work in celestial mechanics.
Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
Author: Nicola Gigli
Publisher: American Mathematical Soc.
Published: 2018-02-23
Total Pages: 174
ISBN-13: 1470427656
DOWNLOAD EBOOKThe author discusses in which sense general metric measure spaces possess a first order differential structure. Building on this, spaces with Ricci curvature bounded from below a second order calculus can be developed, permitting the author to define Hessian, covariant/exterior derivatives and Ricci curvature.
