Number theory Books

This lecture notes volume presents significant contributions from the "Algebraic Geometry and Number Theory" Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.It addresses subjects ranging from Arakelov geometry and Iwasawa theory...

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their connections, Elliptic Polynomials combines these two areas of study, leading to an interesting development of some...

Dieses Buch bietet eine detaillierte Einführung in die Zahlentheorie und deren Anwendungen auf niedrigere Zahlen. Es ist ein Muss für jeden Mathematikliebhaber.This work has been selected by scholars as being culturally important, and is part of the...

Dieses Buch ist ein wichtiger Beitrag zur Analytischen Zahlentheorie. Es beschreibt die Entwicklung dieser Disziplin von den Anfängen bis zur Gegenwart und stellt die wichtigsten Ergebnisse und Methoden vor. Geschrieben von dem Mathematiker Paul Gustav...

There are many books on linear systems and control, many of them taking a specific tool or method as the focus of learning and understanding them. Indeed, many of the tools and methods adopted have their own mature and stable literature. This book...

Facharbeit (Schule) aus dem Jahr 2011 im Fachbereich Mathematik - Zahlentheorie, Note: 1,0, , Sprache: Deutsch, Abstract: Die Fibonacci-Folge ist eine der ältesten Folgen der Menschheit. Benannt wurde sie zwar nach Leonardo Fibonacci, der sie 1227...

Dans ce livre, Legendre explore les propriétés des nombres entiers et des fractions, en se concentrant sur les aspects mathématiques de la théorie des nombres. Il présente des preuves de théorèmes importants et discute de leur signification et de leurs...

This book is a classic treatise on the theory of numbers. The two essays included in this volume deal with the concept of infinity and the nature of numbers. Dedekind's groundbreaking work on the concept of the irrational numbers laid the foundation for...

Dieses Buch ist eine wichtige Studie der Zahlentheorie und behandelt die Entstehung und Eigenschaften von ganzen Zahlen und deren Relationen zueinander. Durch detaillierte mathematische Beweise und Berechnungen liefert dieses Buch wichtige Erkenntnisse...

Cet ouvrage explore les principes fondamentaux de la théorie des nombres et fournit une introduction claire et concise à ce domaine complexe des mathématiques. L'auteur examine en détail les concepts clés de la divisibilité, de la factorisation et des...

Extending the principle of cross numbers, these puzzles aim at those of above average mathematical ability, particularly those who enjoy games of strategy.Written from a classroom perspective, the puzzles focus on key aspects of the curriculum and are...

This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complicated boundary value problems in engineering and physical sciences. The readers are assumed to...

A. Number Theory.- 1. Highlights in the History of Number Theory: 1700 BC - 2008.- 2. Fermat: The Founder of Modern Number Theory.- 3. Fermat's Last Theorem: From Fermat to Wiles.- B. Calculus/Analysis.- 4. A History of the Infinitely Small and the...

* Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory * The collection gives a representative sample of problems and most recent results in algebraic and...

The subject of this book is probabilistic number theory. In a wide sense probabilistic number theory is part of the analytic number theory, where the methods and ideas of probability theory are used to study the distribution of...

Since their appearance in the late 19th century, the Cantor--Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars of standard mathematical philosophy. On the other hand, this period also...

The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. This volume presents an exposition of the fundamentals of the theory with...

A new and complete treatment of semi-abelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Siegel moduli space, with most of the results being published for the...

From the reviews: "L.R. Shafarevich showed me the first edition [...] and said that this book will be from now on the book about class field theory. In fact it is by far the most complete treatment of the main theorems of...

This book describes Cai Chen's Master Plan and the Chinese number theory practiced by the "Image and Number" school within Confucian philosophy. Cai created an original divination manual based on the Yijing and keyed it to an intricate series of 81...

Discover the practical beauty and elegance of mathematics in this essential guide to arithmetic. James Marcus Bandy provides step-by-step instructions for solving complex problems while illuminating the underlying principles that make it all possible...

Ce livre traite de la théorie des nombres. Les auteurs ont développé une méthode simplifiée dans le but de faciliter la compréhension de ce domaine mathématique complexe, offrant ainsi une introduction accessible et claire à ceux qui souhaitent en...

Lattices are geometric objects that can be pictorially described as the set of intersection points of an infinite, regular n-dimensional grid. De­ spite their apparent simplicity, lattices hide a rich combinatorial struc­ ture,...

For a long time the techniques of solving linear optimization (LP) problems improved only marginally. Fifteen years ago, however, a revolutionary discovery changed everything. A new `golden age' for optimization started,...

Srinivasa Ramanujan is, arguably, the greatest mathematician that India has produced. His story is quite unusual: although he had no formal education inmathematics, he taught himself, and managed to produce many important ...

In the present book, we have put together the basic theory of the units and cuspidal divisor class group in the modular function fields, developed over the past few years. Let i) be the upper half plane, and N a positive...

Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all...

The first six chapters and Appendix 1 of this book appeared in Japanese in a book of the same title 15years aga (Jikkyo, Tokyo, 1980).At the request of some people who do not wish to learn Japanese, I decided to rewrite my old...

This carefully edited volume contains selected refereed papers based on lectures presented by many distinguished speakers at the "Integers Conference 2005", an international conference in combinatorial number theory. The conference was held in...

We delve deep into the science and interrelationships ofFour Famous mathematical constantsEuler's Number e, The Ludolphine Constant ( Pi ),Pythagoras' Constant and The Ratio of Phidias ( phi ). Along the way we assess the usefulness of diverse...

Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and...

Dieses Buch ist eine umfassende Einführung in die Theorie der irrationalen Zahlen nach Weierstrass. Es behandelt unter anderem die Konstruktion von Irrationalzahlen, ihre arithmetischen Eigenschaften und die Entstehung der Irrationalität. Das Buch eignet...

Proceedings of the NATO Advanced Study Institute, Banff Centre, Canada, April 27-May 5, 1988

Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and...

This volume contains papers by invited speakers of the symposium "Zeta Functions, Topology and Quantum Physics" held at Kinki U- versity in Osaka, Japan, during the period of March 3-6, 2003. The aims of this symposium were to...

John Wallis (1616-1703) was the most influential English mathematician prior to Newton.  He published his most famous work, Arithmetica Infinitorum, in Latin in 1656.  This book studied the quadrature of curves...

Wissenschaftlicher Aufsatz aus dem Jahr 2012 im Fachbereich Mathematik - Zahlentheorie, , Sprache: Deutsch, Abstract: The Zeta function for those outside the top club of Prime Numbers Theorem

This book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic...

This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was...

The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov´s estimates and use them to solve several problems...

Asymptotic Evaluation of Certain Totient Sums explores the mathematical theory behind totient sums and offers an in-depth analysis of their asymptotic behavior. This book is a must-read for anyone interested in number theory and mathematical analysis...

Das Buch "Über die hypergeometrische Funktion" behandelt eine wichtige Funktion der Mathematik, die in vielen Bereichen, von der Physik bis hin zur Statistik, Anwendung findet. Die Autoren E. Ritter und Félix Klein erläutern die Definition, Eigenschaften...

Dieses Buch bietet eine Einführung in moderne Arithmetik und elementare Zahlentheorie. Es beinhaltet eine systematische Präsentation der klassischen Ergebnisse sowie der neueren Forschungsergebnisse. Der Autor beschreibt die grundlegenden Konzepte der...