$q$-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra PDF Download
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Author: George E. Andrews
Publisher: American Mathematical Soc.
ISBN: 0821807161
Category : Mathematics
Languages : en
Pages : 144
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Book Description
Integrates developments and related applications in $q$-series with a historical development of the field. This book develops important analytic topics (Bailey chains, integrals, and constant terms) and applications to additive number theory.
Author: George E. Andrews
Publisher: American Mathematical Soc.
ISBN: 0821807161
Category : Mathematics
Languages : en
Pages : 144
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Book Description
Integrates developments and related applications in $q$-series with a historical development of the field. This book develops important analytic topics (Bailey chains, integrals, and constant terms) and applications to additive number theory.
Author: Bruce M. Landman
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111395626
Category : Mathematics
Languages : en
Pages : 364
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Book Description
This volume consists of twenty articles stemming from presentations given at the 2023 Integers Conference. They represent a variety of active areas of research in combinatorial number theory, including additive number theory, multiplicative number theory, elementary number theory, the theory of partitions, Ramsey theory, sequences, algebraic combinatorics, enumerative combinatorics, and Diophantine equations.
Author: J. Peter May
Publisher: American Mathematical Soc.
ISBN: 0821803190
Category : Mathematics
Languages : en
Pages : 384
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Book Description
This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The works begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. The book then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. The basic machinery that is needed to make serious use of equivariant stable homotopy theory is presented next, along with discussions of the Segal conjecture and generalized Tate cohomology. Finally, the book gives an introduction to "brave new algebra", the study of point-set level algebraic structures on spectra and its equivariant applications. Emphasis is placed on equivariant complex cobordism, and related results on that topic are presented in detail.
Author: Edward G. Effros
Publisher: American Mathematical Soc.
ISBN: 0821816977
Category : Mathematics
Languages : en
Pages : 90
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Book Description
Discusses elementary algebras and $C DEGREES*$-algebras, namely those which are direct limits of complex semi simple al
Author: Tsit-Yuen Lam
Publisher: American Mathematical Soc.
ISBN: 0821807021
Category : Mathematics
Languages : en
Pages : 158
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Book Description
Presents an introduction to ordered fields and reduced quadratic forms using valuation-theoretic techniques. This book describes the techniques of residue forms and the relevant Springer theory.
Author: John Erik Fornæss
Publisher: American Mathematical Soc.
ISBN: 0821803174
Category : Mathematics
Languages : en
Pages : 71
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Book Description
This CBMS lecture series, held in Albany, New York in June 1994 aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some of the lectures are updated versions of earlier lectures given jointly with Nessim Sibony in Montreal 1993. the authro's intent in this book is to give an expansion of the Montreal lectures, basing complex dynamics in higher dimension systematically on pluripotential theory.
Author: Barbara L. Osofsky
Publisher: American Mathematical Soc.
ISBN: 0821816624
Category : Mathematics
Languages : en
Pages : 100
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Book Description
Features notes that were prepared for a series of ten lectures given at Regional Conference of the Conference Board of the Mathematical Sciences in June 1971. This title also includes a derivation of Tor, one step at a time without the usual derived functor machinery.
Author: Thomas A. Chapman
Publisher: American Mathematical Soc.
ISBN: 0821816780
Category : Mathematics
Languages : en
Pages : 145
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Book Description
The goal of these lectures is to present an introduction to the geometric topology of the Hilbert cube Q and separable metric manifolds modeled on Q, which are called here Hilbert cube manifolds or Q-manifolds. In the past ten years there has been a great deal of research on Q and Q-manifolds which is scattered throughout several papers in the literature. The author presents here a self-contained treatment of only a few of these results in the hope that it will stimulate further interest in this area. No new material is presented here and no attempt has been made to be complete. For example, the author has omitted the important theorem of Schori-West stating that the hyperspace of closed subsets of $[0,1]$ is homeomorphic to Q.In an appendix (prepared independently by R. D. Anderson, D. W. Curtis, R. Schori and G. Kozlowski) there is a list of problems which are of current interest. This includes problems on Q-manifolds as well as manifolds modeled on various linear spaces. The reader is referred to this for a much broader perspective of the field. In the first four chapters, the basic tools which are needed in all of the remaining chapters are presented. Beyond this there seem to be at least two possible courses of action. The reader who is interested only in the triangulation and classification of Q-manifolds should read straight through (avoiding only Chapter VI). In particular the topological invariance of Whitehead torsion appears in Section 38. The reader who is interested in R. D. Edwards' recent proof that every ANR is a Q-manifold factor should read the first four chapters and then (with the single exception of 26.1) skip over to Chapters XIII and XIV.
Author: Sorin Popa
Publisher: American Mathematical Soc.
ISBN: 0821803212
Category : Mathematics
Languages : en
Pages : 122
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Book Description
This monograph provides a more unifed and self-contained presentation of the results presented in Popa's earlier papers on this topic. "Classifications of Subfactors and Their Endomorphisms" is based on lectures presented by Popa at the NSF-CBMS Regional Conference held in Eugene, Oregon, in August, 1993.
Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 1420035223
Category : Mathematics
Languages : en
Pages : 3253
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Book Description
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
