A Tribute to Emil Grosswald: Number Theory and Related Analysis
A Tribute to Emil Grosswald: Number Theory and Related Analysis

Author: Marvin Isadore Knopp

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 624

ISBN-13: 0821851551

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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.

A Tribute to Emil Grosswald
A Tribute to Emil Grosswald

Author: Emil Grosswald

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 626

ISBN-13: 9780821854785

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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.

Further Progress in Analysis
Further Progress in Analysis

Author: A. Okay Celebi

Publisher: World Scientific

Published: 2009

Total Pages: 877

ISBN-13: 9812837337

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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.

A Higher-Dimensional Sieve Method
A Higher-Dimensional Sieve Method

Author: Harold G. Diamond

Publisher: Cambridge University Press

Published: 2008-10-16

Total Pages: 266

ISBN-13: 113947491X

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Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated and in recent years have played a part in some of the most spectacular mathematical discoveries. Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers a modern and reliable guide in such situations. The theory of higher dimensional sieves is thoroughly explored, and examples are provided throughout. A Mathematica® software package for sieve-theoretical calculations is provided on the authors' website. To further benefit readers, the Appendix describes methods for computing sieve functions. These methods are generally applicable to the computation of other functions used in analytic number theory. The appendix also illustrates features of Mathematica® which aid in the computation of such functions.

Number Theory in Progress
Number Theory in Progress

Author: Kálmán Györy

Publisher: Walter de Gruyter

Published: 2012-02-13

Total Pages: 1212

ISBN-13: 3110285584

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Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997.

Set Theory
Set Theory

Author: Tomek Bartoszyński

Publisher: American Mathematical Soc.

Published: 1996

Total Pages: 200

ISBN-13: 0821803069

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This book consists of papers presented at the first three meetings of the Boise Extravaganza in Set Theory (BEST) at Boise State University, Idaho, in 1992, 1993, and 1994. Articles in this volume present recent results in several areas of set theory.

Surveys in Number Theory
Surveys in Number Theory

Author: Bruce Berndt

Publisher: CRC Press

Published: 2002-11-20

Total Pages: 368

ISBN-13: 1000065286

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This volume, based on fourteen papers from the Millennial Conference on Number Theory, represents surveys of topics in number theory and provides an outlook into the future of number theory research. It serves as an inspiration to graduate students and as a reference for research mathematicians.

Number Theory for the Millennium II
Number Theory for the Millennium II

Author: Bruce Berndt

Publisher: CRC Press

Published: 2024-07-31

Total Pages: 468

ISBN-13: 0429611404

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Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field. The conference was the largest general number theory conference in recent history, featuring a total of 159 talks, with the plenary lectures given by George Andrews, Jean Bourgain, Kevin Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K. Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams. The Proceedings Volumes of the conference review some of the major number theory achievements of this century and to chart some of the directions in which the subject will be heading during the new century. These volumes will serve as a useful reference to researchers in the area and an introduction to topics of current interest in number theory for a general audience in mathematics.

Number Theory
Number Theory

Author: W.A. Coppel

Publisher: Springer Science & Business Media

Published: 2009-08-12

Total Pages: 620

ISBN-13: 0387894853

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Number Theory is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included. The book is divided into two parts. Part A covers key concepts of number theory and could serve as a first course on the subject. Part B delves into more advanced topics and an exploration of related mathematics. The prerequisites for this self-contained text are elements from linear algebra. Valuable references for the reader are collected at the end of each chapter. It is suitable as an introduction to higher level mathematics for undergraduates, or for self-study.