Number Theory And Related Fields
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Number Theory And Related Fields
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Author : Jonathan M. Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-16
Number Theory And Related Fields written by Jonathan M. Borwein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-16 with Mathematics categories.
“Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.
Number Theory And Related Fields
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Author : Jonathan M. Borwein
language : en
Publisher: Springer
Release Date : 2015-06-23
Number Theory And Related Fields written by Jonathan M. Borwein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-23 with Mathematics categories.
“Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.
Number Theory
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Author : David Chudnovsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27
Number Theory written by David Chudnovsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-27 with Mathematics categories.
This volume of new research papers marks the 20th anniversary of the New York Number Theory Seminar (NYNTS). Since 1982, NYNTS has presented a range of research in number theory and related fields of mathematics, from physics to geometry to combinatorics and computer science. The speakers have included Field medalists as well as promising lesser known mathematicians whose theorems are significant. The papers presented here are all previously unpublished.
Number Theory In Function Fields
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Author : Michael Rosen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Number Theory In Function Fields written by Michael Rosen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting analogues of various theorems. The later chapters probe the analogy between global function fields and algebraic number fields. Topics include the ABC-conjecture, Brumer-Stark conjecture, and Drinfeld modules.
Research Directions In Number Theory
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Author : Jennifer S. Balakrishnan
language : en
Publisher: Springer
Release Date : 2019-08-01
Research Directions In Number Theory written by Jennifer S. Balakrishnan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-01 with Mathematics categories.
These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating research outcomes from collaborations initiated during the workshop as well as other original research contributions involving participants of the WIN workshops. The workshop and this volume are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields.
Contributions In Analytic And Algebraic Number Theory
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Author : Valentin Blomer
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-19
Contributions In Analytic And Algebraic Number Theory written by Valentin Blomer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-19 with Mathematics categories.
The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions have been developed from lectures given at the "International Conference on the Occasion of the 60th Birthday of S. J. Patterson", held at the University Göttingen, July 27-29 2009. Many of the included chapters have been contributed by invited participants. This volume presents and investigates the most recent developments in various key topics in analytic number theory and several related areas of mathematics. The volume is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.
From Arithmetic To Zeta Functions
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Author : Jürgen Sander
language : en
Publisher: Springer
Release Date : 2016-12-29
From Arithmetic To Zeta Functions written by Jürgen Sander and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-29 with Mathematics categories.
This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. Readers interested in elementary or analytic number theory and related fields will certainly find many fascinating topical results among the contributions from both respected mathematicians and up-and-coming young researchers. In addition, some biographical articles highlight the life and mathematical works of Wolfgang Schwarz.
Research Directions In Number Theory
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Author : Alina Bucur
language : en
Publisher: Springer
Release Date : 2024-04-20
Research Directions In Number Theory written by Alina Bucur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-20 with Mathematics categories.
This is the fifth proceedings volume published under the Women in Numbers umbrella. The WIN workshops and their proceedings volumes are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields. The volume contains research articles in the mathematical area of number theory, written by teams of scholars at all levels in the field. More information about the network, its goals and purpose, past and future conferences, and past proceedings volumes, can be found on the WIN website. This volume contains research outcomes and results produced by the collaborative research groups created under the Women in Numbers V workshop, the 5th in its series. The actual workshop was to take place in 2020 at the Banff International Research Station in Banff, Canada, but could not take place onsite due to COVID. The associated research groups, each consisting of 1-2 leaders and 2-4 junior researchers, were formed nevertheless and their collaborations went ahead in purely virtual form, as well as other papers by author teams for which at least 50% of the authors identify as women or gender minorities. These contributions include original research and survey articles in a wide variety of subareas within number theory. The former present new cutting-edge research that will be of interest to experts in the field, to the benefit of their own research. The survey articles serve as an accessible introduction for graduate students and other readers to areas of number theory that may be outside their area of expertise.
Introduction To Number Theory
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Author : Ed Norex
language : en
Publisher: Independently Published
Release Date : 2024-02-29
Introduction To Number Theory written by Ed Norex and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-29 with Mathematics categories.
Unlock the mysteries of integers and their properties with "Introduction to Number Theory," your comprehensive guide to the fascinating world of number theory. From the basic principles of divisibility and primes to the intricate realms of elliptic curves and Fermat's Last Theorem, this book offers a meticulous exploration of the core concepts and advanced topics within number theory. Delve into the historical and practical applications, including its pivotal role in cryptography and digital security, and discover the beauty and utility of numbers through clear explanations, detailed examples, and engaging exercises. Designed for students, educators, and professionals, "Introduction to Number Theory" simplifies complex theories and techniques, making them accessible to readers with a basic understanding of algebra. Each chapter is carefully structured to build on prior knowledge, guiding you through the landscape of number theory with a direct and informative style. Whether you aim to solidify your understanding of number theory, seek to apply its principles in related fields, or simply are fascinated by the mathematical underpinnings of the digital world, this book is an invaluable resource. Embrace the opportunity to expand your mathematical horizons and uncover the secrets of number theory with "Introduction to Number Theory."
Algebra And Number Theory
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Author : Martyn R. Dixon
language : en
Publisher: John Wiley & Sons
Release Date : 2011-07-15
Algebra And Number Theory written by Martyn R. Dixon and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-15 with Mathematics categories.
Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors' extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines—linear algebra, abstract algebra, and number theory—into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers' retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education.