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Author :
Publisher :
ISBN 13 : 9780821851555
Total Pages : 612 pages
Book Rating : 4.8/5 (515 download)
Download or read book A Tribute to Emil Grosswald written by and published by . This book was released on 1993 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Emil Grosswald
Publisher : American Mathematical Soc.
ISBN 13 : 0821851551
Total Pages : 612 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Tribute to Emil Grosswald written by Emil Grosswald and published by American Mathematical Soc.. This book was released on 1993 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emil Grosswald was a mathematician of great accomplishment and remarkable breadth of vision. This volume pays tribute to the span of his mathematical interests, which is reflected in the wide range of papers collected here. With contributions by leading contemporary researchers in number theory, modular functions, combinatorics, and related analysis, this book will interest graduate students and specialists in these fields. The high quality of the articles and their close connection to current research trends make this volume a must for any mathematics library.
Author : Emil Grosswald
Publisher : American Mathematical Soc.
ISBN 13 : 9780821854785
Total Pages : 626 pages
Book Rating : 4.8/5 (547 download)
Download or read book A Tribute to Emil Grosswald written by Emil Grosswald and published by American Mathematical Soc.. This book was released on 1993 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emil Grosswald was a mathematician of great accomplishment and remarkabel breadth of vision. This volume pays tribute to the span of his mathematical interests, which is reflected in the wide range of papers collected here, from leading contemporary researchers in number theory, modular functions, combinatorics, and related analysis.
Author : Günter Köhler
Publisher : Springer Science & Business Media
ISBN 13 : 3642161529
Total Pages : 627 pages
Book Rating : 4.6/5 (421 download)
Download or read book Eta Products and Theta Series Identities written by Günter Köhler and published by Springer Science & Business Media. This book was released on 2011-01-15 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic number fields, and with Eisenstein series. The author brings to the public the large number of identities that have been discovered over the past 20 years, the majority of which have not been published elsewhere. The book will be of interest to graduate students and scholars in the field of number theory and, in particular, modular forms. It is not an introductory text in this field. Nevertheless, some theoretical background material is presented that is important for understanding the examples in Part II of the book. In Part I relevant definitions and essential theorems -- such as a complete proof of the structure theorems for coprime residue class groups in quadratic number fields that are not easily accessible in the literature -- are provided. Another example is a thorough description of an algorithm for listing all eta products of given weight and level, together with proofs of some results on the bijection between these eta products and lattice simplices.
Author : Ronald L. Graham
Publisher : Springer Science & Business Media
ISBN 13 : 1461472547
Total Pages : 617 pages
Book Rating : 4.4/5 (614 download)
Download or read book The Mathematics of Paul Erdős II written by Ronald L. Graham and published by Springer Science & Business Media. This book was released on 2013-08-04 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, and more biographical information about Paul Erdős with an updated list of publications. The second volume contains chapters on graph theory and combinatorics, extremal and Ramsey theory, and a section on infinity that covers Erdős' research on set theory. All of these chapters are essentially updated, particularly the extremal theory chapter that contains a survey of flag algebras, a new technique for solving extremal problems.
Author : International Society for Analysis, Applications, and Computation. Congress
Publisher : World Scientific
ISBN 13 : 9812837329
Total Pages : 877 pages
Book Rating : 4.8/5 (128 download)
Download or read book Further Progress in Analysis written by International Society for Analysis, Applications, and Computation. Congress and published by World Scientific. This book was released on 2009 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years. In this proceedings volume, plenary lectures highlight the recent research results, while 17 sessions organized by well-known specialists reflect the state of the art of important subfields. This volume concentrates on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, inverse problems, functional differential and difference equations and integrable systems.
Author : L J P Kilford
Publisher : World Scientific Publishing Company
ISBN 13 : 1783265477
Total Pages : 252 pages
Book Rating : 4.7/5 (832 download)
Download or read book Modular Forms written by L J P Kilford and published by World Scientific Publishing Company. This book was released on 2015-03-12 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to various subjects, such as the theory of quadratic forms, the proof of Fermat's Last Theorem and the approximation of π. The text gives a balanced overview of both the theoretical and computational sides of its subject, allowing a variety of courses to be taught from it. This second edition has been revised and updated. New material on the future of modular forms as well as a chapter about longer-form projects for students has also been added.
Author :
Publisher :
ISBN 13 : 9814469114
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Further Progress in Analysis written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Scott D. Ahlgren
Publisher : Springer Science & Business Media
ISBN 13 : 1461303052
Total Pages : 262 pages
Book Rating : 4.4/5 (613 download)
Download or read book Topics in Number Theory written by Scott D. Ahlgren and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: From July 31 through August 3,1997, the Pennsylvania State University hosted the Topics in Number Theory Conference. The conference was organized by Ken Ono and myself. By writing the preface, I am afforded the opportunity to express my gratitude to Ken for beng the inspiring and driving force behind the whole conference. Without his energy, enthusiasm and skill the entire event would never have occurred. We are extremely grateful to the sponsors of the conference: The National Sci ence Foundation, The Penn State Conference Center and the Penn State Depart ment of Mathematics. The object in this conference was to provide a variety of presentations giving a current picture of recent, significant work in number theory. There were eight plenary lectures: H. Darmon (McGill University), "Non-vanishing of L-functions and their derivatives modulo p. " A. Granville (University of Georgia), "Mean values of multiplicative functions. " C. Pomerance (University of Georgia), "Recent results in primality testing. " C. Skinner (Princeton University), "Deformations of Galois representations. " R. Stanley (Massachusetts Institute of Technology), "Some interesting hyperplane arrangements. " F. Rodriguez Villegas (Princeton University), "Modular Mahler measures. " T. Wooley (University of Michigan), "Diophantine problems in many variables: The role of additive number theory. " D. Zeilberger (Temple University), "Reverse engineering in combinatorics and number theory. " The papers in this volume provide an accurate picture of many of the topics presented at the conference including contributions from four of the plenary lectures.
Author : Leonid Arkadʹevich Bokutʹ
Publisher : American Mathematical Soc.
ISBN 13 : 082180295X
Total Pages : 466 pages
Book Rating : 4.8/5 (218 download)
Download or read book Second International Conference on Algebra written by Leonid Arkadʹevich Bokutʹ and published by American Mathematical Soc.. This book was released on 1995 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers presented at the Second International Conference on Algebra, held in Barnaul in August 1991 in honour of the memory of A. I. Shirshov (1921--1981). Many of the results presented here have not been published elsewhere in the literature. The collection provides a panorama of current research in PI-, associative, Lie, and Jordan algebras and discusses the interrelations of these areas with geometry and physics. Other topics in group theory and homological algebra are also covered.
Author : Simon Gindikin
Publisher : American Mathematical Soc.
ISBN 13 : 082180300X
Total Pages : 256 pages
Book Rating : 4.8/5 (218 download)
Download or read book Representation Theory and Analysis on Homogeneous Spaces written by Simon Gindikin and published by American Mathematical Soc.. This book was released on 1994 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining presentation of new results with in-depth surveys of recent work, this book focuses on representation theory and harmonic analysis on real and $p$-adic groups. The papers are based on lectures presented at a conference dedicated to the memory of Larry Corwin and held at Rutgers University in February 1993. The book presents a survey of harmonic analysis on nilpotent homogeneous spaces, results on multiplicity formulas for induced representations, new methods for constructing unitary representations of real reductive groups, and a unified treatment of trace Paley-Wiener theorems for real and $p$-adic reductive groups.In the representation theory of the general linear group over $p$-adic fields, the book provides a description of Corwin's contributions, a survey of the role of Hecke algebras, and a presentation of the theory of simple types. Other types of reductive $p$-adic groups are also discussed. Among the other topics included are the representation theory of discrete rational nilpotent groups, skew-fields associated to quadratic algebras, and finite models for percolation. A timely publication featuring contributions by some of the top researchers in the field, this book offers a perspective not often found in conference proceedings.
Author : Eric M. Friedlander
Publisher : American Mathematical Soc.
ISBN 13 : 0821851659
Total Pages : 318 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topology and Representation Theory written by Eric M. Friedlander and published by American Mathematical Soc.. This book was released on 1994 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: During 1991-1992, Northwestern University conducted a special emphasis year on the topic, 'The connections between topology and representation theory'. Activities over the year culminated in a conference in May 1992 which attracted over 120 participants. Most of the plenary lectures at the conference were expository and designed to introduce current trends to graduate students and nonspecialists familiar with algebraic topology. This volume contains refereed papers presented or solicited at the conference; one paper is based on a seminar given during the emphasis year.
Author : Robert Brooks
Publisher : American Mathematical Soc.
ISBN 13 : 0821851853
Total Pages : 299 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometry of the Spectrum written by Robert Brooks and published by American Mathematical Soc.. This book was released on 1994 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral geometry runs through much of contemporary mathematics, drawing on and stimulating developments in such diverse areas as Lie algebras, graph theory, group representation theory, and Riemannian geometry. The aim is to relate the spectrum of the Laplace operator or its graph-theoretic analogue, the adjacency matrix, to underlying geometric and topological data. This volume brings together papers presented at the AMS-IMS-SIAM Joint Summer Research Conference on Spectral Geometry, held in July 1993 at the University of Washington in Seattle. With contributions from some of the top experts in the field, this book presents an excellent overview of current developments in spectral geometry.
Author : Niky Kamran
Publisher : American Mathematical Soc.
ISBN 13 : 0821851691
Total Pages : 310 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lie Algebras, Cohomology, and New Applications to Quantum Mechanics, written by Niky Kamran and published by American Mathematical Soc.. This book was released on 1994 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to a range of important new ideas arising in the applications of Lie groups and Lie algebras to Schrodinger operators and associated quantum mechanical systems. In these applications, the group does not appear as a standard symmetry group, but rather as a "hidden" symmetry group whose representation theory can still be employed to analyze at least part of the spectrum of the operator. In light of the rapid developments in this subject, a Special Session was organized at the AMS meeting at Southwest Missouri State University in March 1992 in order to bring together, perhaps for the first time, mathematicians and physicists working in closely related areas. The contributions to this volume cover Lie group methods, Lie algebras and Lie algebra cohomology, representation theory, orthogonal polynomials, q-series, conformal field theory, quantum groups, scattering theory, classical invariant theory, and other topics. This volume, which contains a good balance of research and survey papers, presents at look at some of the current development in this extraordinarily rich and vibrant area.
Author : Michael D. Fried
Publisher : American Mathematical Soc.
ISBN 13 : 0821802992
Total Pages : 401 pages
Book Rating : 4.8/5 (218 download)
Download or read book Recent Developments in the Inverse Galois Problem written by Michael D. Fried and published by American Mathematical Soc.. This book was released on 1995 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the refereed proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Recent Developments in the Inverse Galois Problem, held in July 1993 at the University of Washington, Seattle. A new review of Serre's Topics in Galois Theory serves as a starting point. The book describes the latest research on explicit presentation of the absolute Galois group of the rationals. Containing the first appearance of generalizations of modular curves, the book presents applications that demonstrate the full scope of the Inverse Galois Problem. In particular, the papers collected here show the ubiquity of the applications of the Inverse Galois Problem and its compelling significance. The book will serve as a guide to progress on the Inverse Galois Problem and as an aid in using this work in other areas of mathematics. This includes coding theory and other finite field applications. Group theory and a first course in algebraic curves are sufficient for understanding many papers in the volume. Graduate students will find this an excellent reference to current research, as it contains a list of problems appropriate for thesis material in arithmetic geometry, algebraic number theory, and group theory.
Author : Bor-Luh Lin
Publisher : American Mathematical Soc.
ISBN 13 : 0821851578
Total Pages : 201 pages
Book Rating : 4.8/5 (218 download)
Download or read book Banach Spaces written by Bor-Luh Lin and published by American Mathematical Soc.. This book was released on 1993 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Workshop on Banach Space Theory, held at the Universidad de Los Andes in Merida, Venezuela in January 1992. These refereed papers contain the newest results in Banach space theory, real or complex function spaces, and nonlinear functional analysis. There are several excellent survey papers, including ones on homogeneous Banach spaces and applications of probability inequalities, in addition to an important research paper on the distortion problem. This volume is notable for the breadth of the mathematics presented.
Author : Jeffrey Stephen Fox
Publisher : American Mathematical Soc.
ISBN 13 : 0821851527
Total Pages : 190 pages
Book Rating : 4.8/5 (218 download)
Download or read book Index Theory and Operator Algebras written by Jeffrey Stephen Fox and published by American Mathematical Soc.. This book was released on 1993 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers by leading researchers provides a broad picture of current research directions in index theory. Based on lectures presented at the NSF-CBMS Regional Conference on K-Homology and Index Theory, held in August 1991 at the University of Colorado at Boulder, the book provides both a careful exposition of new perspectives in classical index theory and an introduction to currently active areas of the field. Presented here are two new proofs of the classical Atiyah-Singer Index Theorem, as well as index theorems for manifolds with boundary and open manifolds. Index theory for semi-simple p-adic groups and the geometry of discrete groups are also discussed. Through-out the book, the application of operator algebras emerges as a central theme. Aimed at graduate students and researchers, this book would be suitable as a text for an advanced graduate topics course on index theory.
