Trends In Number Theory
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Author | : Valérie Berthé |
Publisher | : Birkhäuser |
Total Pages | : 591 |
Release | : 2018-04-09 |
Genre | : Mathematics |
ISBN | : 331969152X |
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
Author | : Fernando Chamizo |
Publisher | : American Mathematical Soc. |
Total Pages | : 258 |
Release | : 2015-09-28 |
Genre | : Mathematics |
ISBN | : 0821898582 |
This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla, Spain. The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and abroad. Some of the topics covered in this volume are classical algebraic number theory, arithmetic geometry, and analytic number theory. This book is published in cooperation with Real Sociedad Matemática Española (RSME).
Author | : Yu. I. Manin |
Publisher | : Springer Science & Business Media |
Total Pages | : 519 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 3540276920 |
This edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories.
Author | : S.D. Adhikari |
Publisher | : Springer |
Total Pages | : 280 |
Release | : 2002-01-01 |
Genre | : Mathematics |
ISBN | : 9386279096 |
Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.
Author | : S.K. Jain |
Publisher | : Springer Science & Business Media |
Total Pages | : 330 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461219787 |
Author | : Toma Albu |
Publisher | : Springer Science & Business Media |
Total Pages | : 204 |
Release | : 2011-02-04 |
Genre | : Mathematics |
ISBN | : 3034600070 |
This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.
Author | : Peter Ebenfelt |
Publisher | : Springer Science & Business Media |
Total Pages | : 353 |
Release | : 2011-01-30 |
Genre | : Mathematics |
ISBN | : 3034600097 |
This volume presents the proceedings of a conference on Several Complex Variables, PDE’s, Geometry, and their interactions held in 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild.
Author | : Anthony Vazzana |
Publisher | : CRC Press |
Total Pages | : 530 |
Release | : 2007-10-30 |
Genre | : Computers |
ISBN | : 1584889381 |
One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topi
Author | : Peter Roquette |
Publisher | : Amer Mathematical Society |
Total Pages | : 278 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 9783037191132 |
The 20th century was a time of great upheaval and great progress in mathematics. In order to get the overall picture of trends, developments, and results, it is illuminating to examine their manifestations locally, in the personal lives and work of mathematicians who were active during this time. The university archives of Gottingen harbor a wealth of papers, letters, and manuscripts from several generations of mathematicians--documents which tell the story of the historic developments from a local point of view. This book offers a number of essays based on documents from Gottingen and elsewhere--essays which have not yet been included in the author's collected works. These essays, independent from each other, are meant as contributions to the imposing mosaic of the history of number theory. They are written for mathematicians, but there are no special background requirements. The essays discuss the works of Abraham Adrian Albert, Cahit Arf, Emil Artin, Richard Brauer, Otto Grun, Helmut Hasse, Klaus Hoechsmann, Robert Langlands, Heinrich-Wolfgang Leopoldt, Emmy Noether, Abraham Robinson, Ernst Steinitz, Hermann Weyl, and others.
Author | : Valérie Berthé |
Publisher | : Cambridge University Press |
Total Pages | : 637 |
Release | : 2010-08-12 |
Genre | : Mathematics |
ISBN | : 0521515971 |
This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of the abstract theory is less important than a thorough and concrete exploration of the implications and applications. Books in the Encyclopedia of Mathematics and its Applications cover their subjects comprehensively. Less important results may be summarised as exercises at the ends of chapters, For technicalities, readers can be referred to the bibliography, which is expected to be comprehensive. As a result, volumes are encyclopedic references or manageable guides to major subjects.