Number theory Books

Gustav Wertheim's Elemente der Zahlentheorie presents the fundamental principles of number theory with clarity and insight. This book is suitable for both students and professionals studying mathematics.This work has been selected by scholars as being...

Dieses Buch bietet eine umfassende Einführung in die Theorie der Abelschen Funktionen. Die Autoren Alfred Clebsch und Paul Gordan demonstrieren auf anschauliche Weise die verschiedenen Aspekte dieser wichtigen mathematischen Konzepte und ihre Anwendungen...

A Fibonacci-Based Pseudo-Random Number Generator.- On the Proof of GCD and LCM Equalities Concerning the Generalized Binomial and Multinomial Coefficients.- Supercube.- A Note on Fundamental Properties of Recurring Series.- Period Patterns of Certain...

This basic introduction to number theory is ideal for those with no previous knowledge of the subject. The main topics of divisibility, congruences, and the distribution of prime numbers are covered. Of particular interest is...

In 1995, Andrew Wiles completed a proof of Fermat's Last Theorem. Although this was certainly a great mathematical feat, one shouldn't dismiss earlier attempts made by mathematicians and clever amateurs to solve the problem. In...

The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem...

"About binomial theorems I'm teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. " - William S. Gilbert (The Pirates of Penzance, Act I) The question of divisibility is arguably the oldest...

Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by...

The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the opportunity to encounter such concepts and applications in their first course in...

Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and...

In the summer quarter of 1949, I taught a ten-weeks introductory course on number theory at the University of Chicago; it was announced in the catalogue as "Alge­ bra 251". What made it possible, in the form which I had planned...

"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous...

Pell's Equation is a very simple Diophantine equation that has been known to mathematicians for over 2000 years. Even today research involving this equation continues to be very active, as can be seen by the publication of at...

For more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields. Many of the key results included in this book were obtained by the author whilst preparing...

Eric Temple Bell is one of the most respected mathematicians of the 20th century, and this book showcases his groundbreaking work in number theory. Based on his extensive research, this volume presents an arithmetical theory of certain numerical...

Explore the mathematical theory of hyperelliptic functions of the first order with this classic text, written in German. Beginning with basic principles and definitions, the author delves deep into the properties and applications of these functions,...

Dieses Buch ist eine unverzichtbare Sammlung von Tafeln der Quadrat- und Kubikzahlen aller natürlichen Zahlen bis Hunderttausend. Es ist ein wichtiges Werkzeug für alle, die in der Mathematik arbeiten und eine neue Methode zur Zerlegung großer Zahlen...

A collection of mathematical and scientific treatises written by the famous Italian mathematician Leonardo Pisano, also known as Fibonacci. The texts in this book cover a range of topics, from algebra and arithmetic to geometry and problem solving.This...

Dieses Buch bietet eine umfassende Einführung in die Zahlentheorie, die sich sowohl an Anfänger als auch an erfahrene Mathematiker richtet. Die Vorlesungen behandeln die grundlegenden Themen der Zahlentheorie wie zum Beispiel Zahlenbereiche, Kongruenzen...

Questo libro di Mario Vecchi presenta uno studio dettagliato sulla funzione Z(s) di Riemann, un'importante funzione matematica collegata alla teoria dei numeri. Grazie alle sue spiegazioni chiare e dettagliate, questo testo rappresenta un punto di...

Ce livre traite de la théorie des nombres parfaits, un sujet fascinant de la mathématique qui continue d'éveiller la curiosité des amateurs du monde entier. L'auteur explore les propriétés des nombres parfaits et leur importance dans les domaines de la...

Dieses Buch enthält eine Sammlung von Vorlesungen des Mathematikers Peter Gustav Lejeune Dirichlet (1805-1859) über Zahlentheorie. Die Vorlesungen behandeln grundlegende Themen wie Teilbarkeit, Primzahlen und Kongruenz und wurden zu einem wichtigen...

This book explores the complex world of polydimensional sizes and perfect primes, offering a comprehensive resource for both mathematicians and those interested in number theory. Scheffler provides detailed explanations and mathematical proofs, making...

Ce livre présente une perspective unique sur la relation entre les nombres et l'univers. L'auteur explore les harmonies des nombres dans la nature, la musique, et la géométrie. Les illustrations et les exemples concrets rendent cette théorie fascinante...

Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem...