Memoirs Of The American Mathematical Society PDF Download
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| Author | : Richard Askey |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 63 |
| Release | : 1985 |
| Genre | : Jacobi polynomials |
| ISBN | : 0821823213 |
Download Some Basic Hypergeometric Orthogonal Polynomials that Generalize Jacobi Polynomials Book in PDF, ePub and Kindle
A 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.
| Author | : Kiyosi Itô |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 56 |
| Release | : 1951 |
| Genre | : Differential equations |
| ISBN | : 0821812041 |
Download On Stochastic Differential Equations Book in PDF, ePub and Kindle
| Author | : W. J. Blok |
| Publisher | : Advanced Reasoning Forum |
| Total Pages | : 90 |
| Release | : 2022-07-23 |
| Genre | : Mathematics |
| ISBN | : 1938421183 |
Download Algebraizable Logics Book in PDF, ePub and Kindle
W. 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.
| Author | : Maurice Auslander |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 150 |
| Release | : 1969 |
| Genre | : Commutative rings |
| ISBN | : 0821812947 |
Download Stable Module Theory Book in PDF, ePub and Kindle
The 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.
| Author | : Richard S. Pierce |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 116 |
| Release | : 1967 |
| Genre | : Commutative rings |
| ISBN | : 082181270X |
Download Modules over Commutative Regular Rings Book in PDF, ePub and Kindle
| Author | : Pascal Lambrechts |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 130 |
| Release | : 2014-06-05 |
| Genre | : Mathematics |
| ISBN | : 0821892126 |
Download Formality of the Little $N$-disks Operad Book in PDF, ePub and Kindle
The little -disks operad, , along with its variants, is an important tool in homotopy theory. It is defined in terms of configurations of disjoint -dimensional disks inside the standard unit disk in and it was initially conceived for detecting and understanding -fold loop spaces. Its many uses now stretch across a variety of disciplines including topology, algebra, and mathematical physics. In this paper, the authors develop the details of Kontsevich's proof of the formality of little -disks operad over the field of real numbers. More precisely, one can consider the singular chains on as well as the singular homology of . These two objects are operads in the category of chain complexes. The formality then states that there is a zig-zag of quasi-isomorphisms connecting these two operads. The formality also in some sense holds in the category of commutative differential graded algebras. The authors additionally prove a relative version of the formality for the inclusion of the little -disks operad in the little -disks operad when .
| Author | : June Barrow-Green |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 294 |
| Release | : 1997 |
| Genre | : Biography & Autobiography |
| ISBN | : 9780821803677 |
Download Poincare and the Three Body Problem Book in PDF, ePub and Kindle
Poincare'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.
| Author | : George E. Andrews |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 50 |
| Release | : 1984 |
| Genre | : Mathematics |
| ISBN | : 0821823027 |
Download Generalized Frobenius Partitions Book in PDF, ePub and Kindle
This paper is devoted to the study of equilength two-line arrays of non-negative integers. These are called generalized Frobenius partitions. It is shown that such objects have numerous interactions with modular forms, Kloosterman quadratic forms, the Lusztig-Macdonald-Wall conjectures as well as with classical theta functions and additive number theory.
| Author | : Marc Aristide Rieffel |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 110 |
| Release | : 1993 |
| Genre | : Mathematics |
| ISBN | : 0821825755 |
Download Deformation Quantization for Actions of $R^d$ Book in PDF, ePub and Kindle
This work describes a general construction of a deformation quantization for any Poisson bracket on a manifold which comes from an action of R ]d on that manifold. These deformation quantizations are strict, in the sense that the deformed product of any two functions is again a function and that there are corresponding involutions and operator norms. Many of the techniques involved are adapted from the theory of pseudo-differential operators. The construction is shown to have many favorable properties. A number of specific examples are described, ranging from basic ones such as quantum disks, quantum tori, and quantum spheres, to aspects of quantum groups.
| Author | : Harold Rosenberg |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 62 |
| Release | : 2020-09-28 |
| Genre | : Mathematics |
| ISBN | : 1470441853 |
Download Degree Theory of Immersed Hypersurfaces Book in PDF, ePub and Kindle
The 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.
