Number Theory 23

In this book, multiple exercises on number theory are provided along with their solutions. We aim to cover all areas of this discipline. The primary objective of this book is to provide an accessibl……続きを見る

Eduard Wirsing was an outstanding number theorist. In his research he made significant contributions to various subfields of number theory and also collaborated with other eminent scientists (e.g., ……続きを見る

There is no surprise that arithmetic properties of integral ('whole') numbers are controlled by analytic functions of complex variable. At the same time, the values of analytic functions themselves ……続きを見る

Although the Lucas sequences were known to earlier investigators such as Lagrange, Legendre and Genocchi, it is because of the enormous number and variety of results involving them, revealed by Édou……続きを見る

This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics. It is a follow-up and extension ……続きを見る

This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup. It co……続きを見る

The first time I faced Syracuse conjecture I thought it was easier to start from any number n and to arrive to ni 続きを見る

This book describes a novel approach to the study of Siegel modular forms of degree two with paramodular level. It introduces the family of stable Klingen congruence subgroups of GSp(4) and uses thi……続きを見る

Dieses Buch behandelt die Grundlagen der Algebra und der elementaren Zahlentheorie. Zentrale Begriffe sind Primelemente und irreduzible Elemente. Ausgehend vom Aufbau einer Arithmetik in Hauptidealr……続きを見る

This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume ……続きを見る

Il cosiddetto Ultimo teorema di Fermat, formulato nel 1637 da Pierre de Fermat, altro non era che una congettura. Forse fu chiamato teorema perché egli dichiarò di averlo dimostrato in un’annotazion……続きを見る

L’acquisizione del numero può essere sviluppata attraverso diversi itinerari: - Acquisizione della struttura percettiva del numero, attraverso la stima numerica visiva della quantità; - Acquisizione……続きを見る

Numberama: Recreational Number Theory in the School System presents number patterns and mathematical formulas that can be taught to children in schools. The number theories and problems are reinforc……続きを見る

Dieses eBook: "Über den Begriff der Zahl: Psychologische Analysen" ist mit einem detaillierten und dynamischen Inhaltsverzeichnis versehen und wurde sorgfältig korrekturgelesen. Edmund Husserl (1859……続きを見る

Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offer……続きを見る

Fundamentals of Abstract Algebra is a primary textbook for a one year first course in Abstract Algebra, but it has much more to offer besides this. The book is full of opportunities for further, dee……続きを見る

Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing……続きを見る

Classical Clifford Algebras: Operator-Algebraic and Free-Probabilistic Approaches offers novel insights through operator-algebraic and free-probabilistic models. By employing these innovative method……続きを見る

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or ……続きを見る

This is a book about infinity ー specifically the infinity of numbers, and how one kind of infinity is greater than all the rest. Along the way the author will demonstrate how infinity can be made t……続きを見る

This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the Euclidean space Rm. The topics discussed in the manuscript are due to the fie……続きを見る

This book is an autobiographical interview with Chinese Academician Yuan Wang on his experience in mathematical research. The book looks back on Wang's collaboration with his teacher Hua Loo-Keng an……続きを見る

This book introduces readers to the art of doing mathematical proofs. Proofs are the glue that holds mathematics together. They make connections between math concepts and show why things work the wa……続きを見る

This volume records and disseminates selected papers from the Stinson66 conference, including surveys, prospectives, and papers presenting original and current research. It contains four accessible ……続きを見る

Dieses Buch versucht, die schrittweise Entwicklung der wichtigsten Forschungsinstitute zur Zahlentheorie in Südindien, Punjab, Mumbai, Bengalen und Bihar zu beschreiben, einschließlich der Gründung ……続きを見る

Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts. The first part is devoted to the Riemann integral, and provides not only a novel approach, b……続きを見る

Ancient times witnessed the origins of the theory of continued fractions. Throughout time, mathematical geniuses such as Euclid, Aryabhata, Fibonacci, Bombelli, Wallis, Huygens, or Euler have made s……続きを見る

Los números, ya sean considerados una invención o un descubrimiento, han formado parte de la humanidad desde el surgimiento del pensamiento abstracto y han estado vinculados a la necesidad humana de……続きを見る

Regularity Techniques for Elliptic PDEs and the Fractional Laplacian presents important analytic and geometric techniques to prove regularity estimates for solutions to second order elliptic equatio……続きを見る

Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers bega……続きを見る