Number theory Books

This volume contains a collection of papers in Analytic and Elementary Number Theory in memory of Professor Paul Erdös, one of the greatest mathematicians of this century. Written by many leading researchers, the papers deal...

This new book can be read independently from the first volume and may be used for lecturing, seminar- and self-study, or for general reference. It focuses more on specific topics in order to introduce readers to a wealth of...

The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic...

This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his...

A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and ...

This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This...

Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. In this book, the authors have gathered...

The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections as well as a new section recounting recent works in the field. The book covers...

This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine,...

. . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L­ series and Heeke operators has permanently...

This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The...

Several years ago I was invited to an American university to give one-term graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The idea to present in a concise but basically complete and...

Class field theory brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. This book provides an accessible introduction to class field theory. It takes a...

A book on any mathematical subject beyond the textbook level is of little value unless it contains new ideas and new perspectives. It helps to include new results, provided that they give the reader new insights and are...

This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of...

This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional...

The branch of pure mathematics devoted primarily to the study of integers and integer-valued functions is known as number theory. The concepts of prime numbers as well as the properties of mathematical objects made out of integers such as rational...

""Allgemeine Untersuchungen: �����ber die Unendliche Reihe"" ist ein Buch des deutschen Mathematikers Carl Friedrich Gauss, das im Jahr 1888 ver������ffentlicht wurde. Es enth�����lt eine umfassende Untersuchung der unendlichen Reihen, die in der...

Solutions Raisonn�����es Des Exercices (1850) de Bertrand, Joseph est un livre qui propose des solutions raisonn�����es pour des exercices. Il est destin����� aux �����tudiants et aux enseignants qui cherchent ������ am�����liorer leurs comp�����tences...

Scientific Essay from the year 2013 in the subject Mathematics - Number Theory, , language: English, abstract: Realizing that the study of Zeta function ~(s) is dependent on the Gamma function I(s) , a function that I know well for s=x ER, I decided to...

""Neue Grundlagen einer Theorie der allgemeinen Thetafunktionen"" ist ein mathematisches Buch, das 1892 von Adolf Krazer ver������ffentlicht wurde. Das Buch behandelt die Thetafunktion, die eine Funktion der komplexen Variable ist und in der...

""Neuer Beweis Der Gleichung"" ist ein Buch, das vom deutschen Mathematiker Edmund Landau im Jahr 1899 ver������ffentlicht wurde. Das Werk ist ein wichtiger Beitrag zur Zahlentheorie und enth�����lt einen neuen Beweis f�����r die Gleichung, die als...

""Le Equazioni Numeriche, Intiere E Razionali Ad Una Incognita"" ����� un libro scritto da Giuseppe Poncini nel 1877. Questo testo fornisce una completa descrizione delle equazioni numeriche, intere e razionali ad una sola incognita. Il libro �����...

Leibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras. Leibniz algebra is the generalization of Lie algebras. These algebras preserve a unique property of Lie algebras that the right...

Dieses Buch beschäftigt sich mit der Theorie der Gaussschen Summen und der Linearen Transformation der Thetafunctionen. Es ist ein unverzichtbares Werk für alle Mathematiker und Physiker, die sich mit dieser Thematik beschäftigen.This work has been...

In diesem Buch führt Lejeune Dirichlet den Leser auf spannende Weise in die Welt der Zahlentheorie ein. Von den Grundlagen bis hin zu komplexen Theoremen werden alle wichtigen Aspekte behandelt und durch zahlreiche Beispiele und Übungsaufgaben vertieft...

"Et moi, ... , si j'avait su comment en revenir, je One service mathematics bas rendered the human race. It bas put common sense back n'y serais point all~.' where it belongs, on the topmost shelf next to lu1esVeme the dusty...

""A Binary Canon: Showing Residues Of Powers Of Two For Divisors Under 1000 And Indices To Residues"" is a mathematical reference book written by Allan Cunningham and originally published in 1900. The book provides a comprehensive list of the residues of...

"Von der Mathematik habe ich nie etwas verstanden!" Wann immer wir Mathematiker uns als Mathematiker zu erkennen geben, wird uns dieses freimiitige Bekenntnis der Ignoranz serviert, meist im Tonfall der Genugtuung und mit der...

Dieses Buch mochte zahlentheoretische Probleme darstellen, wie ich sie seit etwa 15 Jahren in Vorlesungen an der Universit~t (TH) Karlsruhe, sp~ter auch an der P~dagogischen Hochschule Karlsruhe, behandelt habe. Nachdem es...

This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from...

This book provides the reader with a domain-independent method for reducing risk through maximizing reliability, reducing epistemic uncertainty, reducing aleatory uncertainty, ranking the reliabilities of systems and processes, minimizing the risk of...

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic...

* Focuses on two fundamental questions related to semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications, and branching laws for unitary representations * Wide applications of...

This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties. Recently, it has become clear that ideas from many branches...

Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at...

Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov...

This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language...

Sphere packings is one of the most fascinating and challenging subjects in mathematics. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and...

This book of tables includes a reduced representative of each class of. integral positive definite primitive quaternary quadratic forms through discriminant 1732. The classes are grouped into genera; also included are Hasse...

The theory of arithmetical functions has always been one of the more active parts of the theory of numbers. The large number of papers in the bibliography, most of which were written in the last forty years, attests to its...

Beschreibung der Endziffern-Arithmetik für zwei primale Faktoren und ihr Produkt am Beispiel von RSA-129.Berechnung aller Varianten der Faktor-Endziffern in Excel mit VBA für 2, 3, 4, 5, 6, 7 und 8 Endziffern,sowohl vollständige Listen als auch Listen...

Academic Paper from the year 2007 in the subject Mathematics - Number Theory, , language: English, abstract: In the article a vedic mathematics subsutra anurupyena vidhi has been extended to find the nth power of an integer of any number of digits and of...