Автор: Steve Wright Название: Quadratic Residues and Non-Residues ISBN: 3319459546 ISBN-13(EAN): 9783319459547 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory.The first three chapters present some basic facts and the history of quadratic residues and non-residues and discuss various proofs of the Law of Quadratic Reciprosity in depth, with an emphasis on the six proofs that Gauss published. The remaining seven chapters explore some interesting applications of the Law of Quadratic Reciprocity, prove some results concerning the distribution and arithmetic structure of quadratic residues and non-residues, provide a detailed proof of Dirichlet’s Class-Number Formula, and discuss the question of whether quadratic residues are randomly distributed. The text is a valuable resource for graduate and advanced undergraduate students as well as for mathematicians interested in number theory.
Автор: Kurka Название: Dynamics of Number Systems ISBN: 3319333666 ISBN-13(EAN): 9783319333663 Издательство: Springer Рейтинг: Цена: 18284.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is a source of valuable and usefulinformation on the topics of dynamics of number systems and scientificcomputation with arbitrary precision. It is addressed to scholars, scientistsand engineers, and graduate students. The treatment is elementary andself-contained with relevance both for theory and applications. The basicprerequisite of the book is linear algebra and matrix calculus.
Описание: This Volume Consists Of A Selection Of Research-Type Articles On Dynamical Systems, Evolution Equations, Analytic Number Theory And Closely Related Topics. A Strong Emphasis Is On A Fair Balance Between Theoretical And More Applied Work, Thus Spanning The Chasm Between Abstract Insight And Actual Application. Several Of The Articles Are Expected To Be In The Intersection Of Dynamical Systems Theory And Number Theory. One Article Will Likely Relate The Topics Presented To The Academic Achievements And Interests Of Prof. Leutbecher And Shed Light On Common Threads Among All The Contributions.Contributors Include:Professor Josef F Dorfmeister (Technische Universit?t M?nchen, Germany)Dr Dominik Eberlein (Logivations Gmbh, Germany)Professor Joachim Fischer (Siemens Kunststiftung, Germany)Professor Thomas Hagen (University Of Memphis, Usa)Professor Sandra Hayes (City University Of New York, Usa)Professor Bernhard Heim (German University Of Technology, Oman)Dr Andreas Henn (Technische Universit?t Dortmund, Germany)Professor Thomas Honold (Zhejiang University, China)Dr Michael Kiermaier (Universit?t Bayreuth, Germany)Professor Aloys Krieg (Rwth Aachen, Germany)Professor Hui Ma (Tsinghua University, China)Sabyasachi Mukherjee (Jacobs University Bremen, Germany)Professor Florian Rupp (German University Of Technology, Oman)Professor J?rgen Scheurle (Technische Universit?t M?nchen, Germany)Professor Dierk Schleicher (Jacobs University Bremen, Germany)Professor Hartmut Schwetlick (University Of Bath, Uk)Dr Stephan Schmitz (Technische Universit?t M?nchen, Germany)Professor Yuri Suris (Technische Universit?t Berlin, Germany)Professor Christian Wolf (City University Of New York, Usa)Professor Johannes Zimmer (University Of Bath, Uk)
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