Sequences, Groups, and Number Theory
Sequences, Groups, and Number Theory

Author: Valérie Berthé

Publisher: Birkhäuser

Published: 2018-04-09

Total Pages: 591

ISBN-13: 331969152X

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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.

Trends in Number Theory
Trends in Number Theory

Author: Fernando Chamizo

Publisher: American Mathematical Soc.

Published: 2015-09-28

Total Pages: 258

ISBN-13: 0821898582

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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).

Current Trends in Number Theory
Current Trends in Number Theory

Author: S.D. Adhikari

Publisher: Springer

Published: 2002-01-01

Total Pages: 280

ISBN-13: 9386279096

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Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.

Introduction to Modern Number Theory
Introduction to Modern Number Theory

Author: Yu. I. Manin

Publisher: Springer Science & Business Media

Published: 2006-03-30

Total Pages: 519

ISBN-13: 3540276920

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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.

Ring and Module Theory
Ring and Module Theory

Author: Toma Albu

Publisher: Springer Science & Business Media

Published: 2011-02-04

Total Pages: 204

ISBN-13: 3034600070

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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.

Introduction to Number Theory
Introduction to Number Theory

Author: Anthony Vazzana

Publisher: CRC Press

Published: 2007-10-30

Total Pages: 530

ISBN-13: 1584889381

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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

Complex Analysis
Complex Analysis

Author: Peter Ebenfelt

Publisher: Springer Science & Business Media

Published: 2011-01-30

Total Pages: 353

ISBN-13: 3034600097

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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.

Number Theory with Computer Applications
Number Theory with Computer Applications

Author: Ramanujachary Kumanduri

Publisher: Pearson

Published: 1998

Total Pages: 566

ISBN-13:

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Appropriate for most courses in Number Theory. This book effectively integrates computing algorithms into the number theory curriculum using a heuristic approach and strong emphasis on proofs. Its in-depth coverage of modern applications considers the latest trends and topics, such as elliptic curves--a subject that has seen a rise in popularity due to its use in the proof of Fermat's Last Theorem.

Combinatorics, Automata and Number Theory
Combinatorics, Automata and Number Theory

Author: Valérie Berthé

Publisher: Cambridge University Press

Published: 2010-08-12

Total Pages: 637

ISBN-13: 0521515971

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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.