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This is the ?rst extensive biography of the in?uential German mathematician, Peter Gustav Lejeune Dirichlet (1805 – 1859). Dirichlet made major contributions to number theory in addition to clarifying concepts such as the representation of functions as series, the...
Editeur :
Birkhäuser
Parution :
2018-12-29
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This monograph originates from a study of the continued fraction [1, 2, 3, ...], which we call the Zopf number. Its origins date back to 1929 when Siegel introduced it as a ratio of Bessel functions. Continued fractions is most often styled classically, and much of the...
Editeur :
Springer
Parution :
2025-10-03
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This book describes research problems by unifying and generalizing some remote-looking objects through the functional equation and the parity relation of relevant zeta functions, known as the modular relation or RHB correspondence. It provides examples of zeta functions...
Editeur :
Springer
Parution :
2025-07-18
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Inspired by the classic Recreations in the Theory of Numbers—The Queen of Mathematics Entertains by Albert H. Beiler, this book brings the excitement of recreational number theory into the 21st century through the lens of computational techniques. While Beiler’s work,...
Editeur :
Springer
Parution :
2025-07-01
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Fractions are everywhere and yet most of us learn only basic and rather dry facts about fractions in primary school. This book makes fractions come to life in a friendly, lively, and accessible way, detailing the history of fractions and their crucial role in the work...
Editeur :
OUP Oxford
Parution :
2025-05-15
ePub
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The book explores and investigates a long-standing mathematical question whether a product of two or more positive integers in an arithmetic progression can be a square or a higher power. It investigates, more broadly, if a product of two or more positive integers...
Editeur :
Springer
Parution :
2025-04-26
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This book is a great treasure for everyone who enjoys the beauty of the fascinating world of recreational mathematics. It focuses on recreational aspects of numbers to create interest and motivate readers to learn to be creative in improving their problem-solving...
Editeur :
Springer
Parution :
2025-03-07
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This book collects original research papers and survey articles presented at two conferences on the same theme: the International Conference on Class Groups of Number Fields and Related Topics, held at Kerala School of Mathematics, Kozhikode, Kerala, India, from...
Editeur :
Springer
Parution :
2024-12-02
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Fractions are everywhere and yet most of us learn only basic and rather dry facts about fractions in primary school. This book makes fractions come to life in a friendly, lively, and accessible way, detailing the history of fractions and their crucial role in the work...
Editeur :
OUP Oxford
Parution :
2024-11-25
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This book provides an overview of the main results and problems concerning Diophantine m-tuples, i.e., sets of integers or rationals with the property that the product of any two of them is one less than a square, and their connections with elliptic curves. It...
Editeur :
Springer
Parution :
2024-06-05
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This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these areas are rapidly evolving. By gathering authors from over seven...
Editeur :
Birkhäuser
Parution :
2024-05-27
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Dieses Buch versucht, die schrittweise Entwicklung der wichtigsten Forschungsinstitute zur Zahlentheorie in Südindien, Punjab, Mumbai, Bengalen und Bihar zu beschreiben, einschließlich der Gründung des Tata Institute of Fundamental Research (TIFR) in Mumbai, einem...
Editeur :
Springer Spektrum
Parution :
2024-04-12
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?4000 Jahre Zahlentheorie nimmt die Leser und Leserinnen mit auf eine Reise durch die Geschichte eines lange Zeit belächelten Gebiets der Mathematik. Im ersten Teil wird das Auf und Ab mathematischer Kulturen geschildert, beginnend mit den ersten zahlentheoretischen...
Editeur :
Springer Spektrum
Parution :
2023-10-30
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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 Édouard Lucas between 1876 and 1880, that they are now named after...
Editeur :
Springer
Parution :
2023-10-19
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Die beiden Bücher „Was sind und was sollen die Zahlen?“ (1888) und „Stetigkeit und Irrationale Zahlen“ (1872) sind Dedekinds Beiträge zu den Grundlagen der Mathematik; er legte darin die Grundsteine der Mengenlehre und der Theorie der reellen und natürlichen...
Editeur :
Springer Spektrum
Parution :
2023-09-29
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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., with the Fields Medalist Alan Baker as well as Don Zagier). This...
Editeur :
Springer
Parution :
2023-08-28
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Graphs and Networks A unique blend of graph theory and network science for mathematicians and data science professionals alike. Featuring topics such as minors, connectomes, trees, distance, spectral graph theory, similarity, centrality, small-world networks,...
Editeur :
Wiley
Parution :
2022-04-28
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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 concerning algebraic...
Editeur :
Birkhäuser
Parution :
2021-11-15
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The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor...
Editeur :
Birkhäuser
Parution :
2021-11-11
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In this essential, Claudia Alfes-Neumann discusses applications of the theory of modular forms and their importance as fundamental tools in mathematics. These functions - initially defined purely analytically - appear in many areas of mathematics: very prominently in...
Editeur :
Springer
Parution :
2021-10-11
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