Описание: Aims at collecting survey papers which give broad perspectives of various aspects of number theory. This work introduces a fresh direction of research on analytic number theory - quantitative theory of some surfaces. It describes generalized modular forms (GMF) which has some applications in conformal field theory.
Описание: Presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.
Автор: Badziahin Название: Dynamics and Analytic Number Theory ISBN: 1107552370 ISBN-13(EAN): 9781107552371 Издательство: Cambridge Academ Рейтинг: Цена: 10138.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Aimed at both young and established researchers, this book covers several directions of current research lying at the interface between dynamics and analytic number theory. Leading experts present a wide range of topics, including homogeneous dynamics, Diophantine approximation, Ramsey theory, ergodic theory and combinatorics.
Автор: Davidoff Название: Elementary Number Theory, Group Theory and Ramanujan Graphs ISBN: 0521824265 ISBN-13(EAN): 9780521824262 Издательство: Cambridge Academ Рейтинг: Цена: 24077.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering.
Автор: Eischen Название: Directions in Number Theory ISBN: 3319309749 ISBN-13(EAN): 9783319309743 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a wide range of research areas: arithmetic geometry; analytic number theory; algebraic number theory; and applications to coding and cryptography.
The WIN conference series began in 2008, with the aim of strengthening the research careers of female number theorists. The series introduced a novel research-mentorship model: women at all career stages, from graduate students to senior members of the community, joined forces to work in focused research groups on cutting-edge projects designed and led by experienced researchers. The goals for Women In Numbers 3 were to establish ambitious new collaborations between women in number theory, to train junior participants about topics of current importance, and to continue to build a vibrant community of women in number theory. Forty-two women attended the WIN3 workshop, including 15 senior and mid-level faculty, 15 junior faculty and postdocs, and 12 graduate students.
Автор: Vazzana Название: Introduction to Number Theory, 2nd Edition ISBN: 1498717497 ISBN-13(EAN): 9781498717496 Издательство: Taylor&Francis Рейтинг: Цена: 16078.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert's tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler's theorem in RSA encryption, and quadratic residues in the construction of tournaments.
Ideal for a one- or two-semester undergraduate-level course, this Second Edition:
Features a more flexible structure that offers a greater range of options for course design
Adds new sections on the representations of integers and the Chinese remainder theorem
Expands exercise sets to encompass a wider variety of problems, many of which relate number theory to fields outside of mathematics (e.g., music)
Provides calculations for computational experimentation using SageMath, a free open-source mathematics software system, as well as Mathematica(R) and Maple(TM), online via a robust, author-maintained website
Includes a solutions manual with qualifying course adoption
By tackling both fundamental and advanced subjects--and using worked examples, numerous exercises, and popular software packages to ensure a practical understanding--Introduction to Number Theory, Second Edition instills a solid foundation of number theory knowledge.
Автор: Yan Song Y Название: Computational Number Theory and Modern Cryptography ISBN: 1118188586 ISBN-13(EAN): 9781118188583 Издательство: Wiley Рейтинг: Цена: 13139.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: * Makes deep mathematical problems accessible to computer scientists and engineers * Based on classroom tested materials used in the US, UK and China * Exercises included in every chapter * Instructor resources available on the book s Companion Website .
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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