Number theory Books

Manuductio Ad Arithmeticam, edita anno MDCLXVI auctore Ingolstadii Publisher, est opus quod ad artem numerorum introducit. In hoc libro, auctor numeros et operationes mathematicas explicat, et regulas arithmeticae communes tradit. Libellus ad usum...

The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational...

Mit einem Geleitwort von Horst Tietz

This book is the first to provide a comprehensive and elementary account of the new Iwasawa theory innovated via the deformation theory of modular forms and Galois representations. The deformation theory of modular forms is developed by generalizing the...

Arithmeticae Theoria Et Praxis est liber auctore Tacquet, Andrea, editus anno MDCLXV. Hic liber tractat de arithmetica, quae est scientia numerorum, et continet theoriam et praxim eius. In hoc libro, Tacquet explicat regulas et methodos arithmeticae, ut...

Anfangsgr�����nde der Analysis endlicher Gr�����������en ist ein Buch von Abraham Gotthelf K�����stner, das erstmals im Jahr 1794 ver������ffentlicht wurde. Es ist ein Lehrbuch �����ber Analysis, das sich auf endliche Gr�����������en konzentriert und...

Mathematicae Quaedam Selectae Propositiones est liber auctore De Segura, Ioanne, qui anno MDLXVI editus est. In hoc libro, auctor propositiones mathematicas selectas exponit, quae ad geometriam, arithmeticae, et alia matheseos genera pertinent. Inter...

WORK IS IN FRENCHThis book is a reproduction of a work published before 1920 and is part of a collection of books reprinted and edited by Hachette Livre, in the framework of a partnership with the National Library of France, providing the opportunity to...

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral...

Histoire Des Nombres: Et De La Numeration Mechanique (1855) est un livre �����crit par Jacomy-Regnier, M. Il s'agit d'un ouvrage qui explore l'histoire des nombres et de la num�����ration m�����canique. Le livre contient des informations sur l'origine...

Imaginary Quantities: Their Geometrical Interpretation is a book written by Jean Robert Argand and originally published in 1881. The book is a mathematical treatise on the topic of imaginary numbers and their geometrical interpretation. In the book,...

Fundamenta Nova Theoriae Functionum Ellipticarum est opus magnum a Carolo Gustavo Jacobi anno millesimo octingentesimo vigesimo nono editum. In hoc libro, Jacobi theoriam functionum ellipticarum, quae sunt solutio equationis ellipticae, investigat...

This book is summarizing the results of the workshop "Uniform Distribution and Quasi-Monte Carlo Methods" of the RICAM Special Semester on "Applications of Algebra and Number Theory" in October 2013. The survey articles in this book focus on number...

Das Buch ""Theoretisch-Praktische Rechenkunst"" von Christoph Friedrich Zeller wurde im Jahr 1791 ver������ffentlicht. Es handelt sich um ein Werk, das sich mit der Mathematik besch�����ftigt und sowohl theoretische als auch praktische Aspekte behandelt...

This book offers a unique account on the life and works of Srinivasa Ramanujan-often hailed as the greatest "natural" mathematical genius. Sharing valuable insights into the many stages of Ramanujan's life, this book provides glimpses into his prolific...

This book discusses special properties of integer sequences from a unique point of view. It generalizes common, well-known properties and connects them with sequences such as divisible sequences, Lucas sequences, Lehmer sequences, periods of sequences,...

This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite-Lindemann-Weierstrass theorem, Gelfond-Schneider...

This book is the first volume of proceedings from the joint conference X International Symposium "Quantum Theory and Symmetries" (QTS-X) and XII International Workshop "Lie Theory and Its Applications in Physics" (LT-XII), held on 19-25 June 2017 in...

4. 2 Variance of Quantum Matrix Elements. 125 4. 3 Berry's Trick and the Hyperbolic Case 126 4. 4 Nonhyperbolic Case . . . . . . . 128 4. 5 Random Matrix Theory . . . . . 128 4. 6 Baker's Map and Other Systems 129 4. 7...

Numbers ... , natural, rational, real, complex, p-adic .... What do you know about p-adic numbers? Probably, you have never used any p-adic (nonrational) number before now. I was in the same situation few years ago. p-adic...

This volume contains edited versions of 11 contributions given by main speakers at the NATO Advanced Study Institute on lReal and Complex Dynamical Systems in Hiller0d, Denmark, June 20th - July 2nd, 1993. The vision of the...

A prime number is a natural number greater than 1 with no divisors other than 1 and itself. According to Euclid's theorem, there are infinitely many prime numbers, so there is no largest prime.On October 12, 2024, the GIMPS (Great internet Mersenne Prime...

From its birth (in Babylon?) till 1936 the theory of quadratic forms dealt almost exclusively with forms over the real field, the complex field or the ring of integers. Only as late as 1937 were the foundations of a theory over...

From the reviews: "This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. [...] Overall,...

Diplomarbeit aus dem Jahr 2001 im Fachbereich Mathematik - Zahlentheorie, Note: Sehr Gut, Universität Salzburg, Sprache: Deutsch, Abstract: Die von Kurt Gödel 1931 veröffentlichten sogenannten Unvollständigkeitssätze haben das Bild der modernen...

Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two...

Celebrating one of the leading figures in contemporary number theory - John H. Coates - on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves,...

This book develops the foundations of "summability calculus", which is a comprehensive theory of fractional finite sums. It fills an important gap in the literature by unifying and extending disparate historical results. It also presents new material...

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...

​Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main...

the attention of The publication of Charles Pisot's thesis in 1938 brought to the mathematical community those marvelous numbers now known as the Pisot numbers (or the Pisot-Vijayaraghavan numbers). Although these numbers had...

This book is a concise, self-contained treatise on abstract algebra with an introduction to number theory, where students normally encounter rigorous mathematics for the first time. The authors build up things slowly, by explaining the importance of...

This proceedings volume contains articles related to the research presented at the 2019 Simons Symposium on p-adic Hodge theory. This symposium was focused on recent developments in p-adic Hodge theory, especially those concerning non-abelian aspects...

This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory.After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean...

The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. This broad coverage will help generate new ideas to solve various challenges that face researchers in pure mathematics. Specific...

This proceedings volume, the fifth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 19th annual workshop, held online due to the COVID-19 pandemic. Organized every year since 2003 by the...

This book provides a broad, interdisciplinary overview of non-Archimedean analysis and its applications. Featuring new techniques developed by leading experts in the field, it highlights the relevance and depth of this important area of mathematics, in...

This volume presents the collection of mathematical articles by Martin Kneser, reprinted in the original language - mostly German -, including one yet unpublished. Moreover, also included is an article by Raman Parimala, discussing Kneser's work...

A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative trace formulas in relation to special values of...

This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York. The latter was held online due to the COVID-19...