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Advanced Number Theory with Applications, Mollin


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Автор: Mollin
Название:  Advanced Number Theory with Applications
ISBN: 9781138113251
Издательство: Taylor&Francis
Классификация:
ISBN-10: 1138113255
Обложка/Формат: Paperback
Страницы: 440
Вес: 0.89 кг.
Дата издания: 07.06.2017
Серия: Discrete mathematics and its applications
Язык: English
Иллюстрации: 5 tables, black and white; 6 illustrations, black and white
Размер: 235 x 159
Читательская аудитория: Undergraduate
Ключевые слова: Number theory, COMPUTERS / Operating Systems / General,MATHEMATICS / Combinatorics,MATHEMATICS / Number Theory
Основная тема: Number Theory
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and more than 1,500 entries in the index so that students can easily cross-reference and find the appropriate data.

With numerous examples throughout, the text begins with coverage of algebraic number theory, binary quadratic forms, Diophantine approximation, arithmetic functions, p-adic analysis, Dirichlet characters, density, and primes in arithmetic progression. It then applies these tools to Diophantine equations, before developing elliptic curves and modular forms. The text also presents an overview of Fermats Last Theorem (FLT) and numerous consequences of the ABC conjecture, including Thue-Siegel-Roth theorem, Halls conjecture, the Erd s-Mollin--Walsh conjecture, and the Granville-Langevin Conjecture. In the appendix, the author reviews sieve methods, such as Eratothesenes, Selbergs, Linniks, and Bombieris sieves. He also discusses recent results on gaps between primes and the use of sieves in factoring.

By focusing on salient techniques in number theory, this textbook provides the most up-to-date and comprehensive material for a second course in this field. It prepares students for future study at the graduate level.



Cryptographic Applications of Analytic Number Theory / Complexity Lower Bounds and Pseudorandomness

Автор: Shparlinski Igor
Название: Cryptographic Applications of Analytic Number Theory / Complexity Lower Bounds and Pseudorandomness
ISBN: 3764366540 ISBN-13(EAN): 9783764366544
Издательство: Springer
Рейтинг:
Цена: 102480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation.Cryptographers and number theorists will find this book useful. The former can learn about new number theoretic techniques which have proved to be invaluable cryptographic tools, the latter about new challenging areas of applications of their skills.

Number Theory – Diophantine Problems, Uniform Distribution and Applications

Автор: Christian Elsholtz; Peter Grabner
Название: Number Theory – Diophantine Problems, Uniform Distribution and Applications
ISBN: 3319553569 ISBN-13(EAN): 9783319553566
Издательство: Springer
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Цена: 102480.00 T
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Number Theory and Its Applications

Автор: Shigeru Kanemitsu; K?lm?n Gyory
Название: Number Theory and Its Applications
ISBN: 0792359526 ISBN-13(EAN): 9780792359524
Издательство: Springer
Рейтинг:
Цена: 158340.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The contents of this volume range from expository papers on several aspects of number theory, intended for general readers (Steinhaus property of planar regions; Thus, Number Theory and Its Applications leads the reader in many ways not only to the state of the art of number theory but also to its rich garden.

Emerging Applications of Number Theory

Автор: Dennis A. Hejhal; Joel Friedman; Martin C. Gutzwil
Название: Emerging Applications of Number Theory
ISBN: 0387988246 ISBN-13(EAN): 9780387988245
Издательство: Springer
Рейтинг:
Цена: 186340.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics.

Number Theory and Applications

Автор: Richard A. Mollin
Название: Number Theory and Applications
ISBN: 0792301498 ISBN-13(EAN): 9780792301493
Издательство: Springer
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Цена: 393180.00 T
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Описание: Proceedings of the NATO Advanced Study Institute, Banff Centre, Canada, April 27-May 5, 1988

Applications of Number Theory to Numerical Analysis

Автор: L.-K. Hua; Y. Wang
Название: Applications of Number Theory to Numerical Analysis
ISBN: 3642678319 ISBN-13(EAN): 9783642678318
Издательство: Springer
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Цена: 79190.00 T
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Описание: Owing to the developments and applications of computer science, ma- thematicians began to take a serious interest in the applications of number theory to numerical analysis about twenty years ago. But in the past twenty years, a number of new methods have been devised of which the number theoretic method is an effective one.

Dynamical Systems, Number Theory And Applications: A Festschrift In Honor Of Armin Leutbecher`S 80Th Birthday

Автор: Hagen Thomas Et Al
Название: Dynamical Systems, Number Theory And Applications: A Festschrift In Honor Of Armin Leutbecher`S 80Th Birthday
ISBN: 9814699861 ISBN-13(EAN): 9789814699860
Издательство: World Scientific Publishing
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Цена: 100320.00 T
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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)

Number Theory and Its Applications

Автор: Shigeru Kanemitsu; K?lm?n Gyory
Название: Number Theory and Its Applications
ISBN: 1441948163 ISBN-13(EAN): 9781441948168
Издательство: Springer
Рейтинг:
Цена: 158340.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The contents of this volume range from expository papers on several aspects of number theory, intended for general readers (Steinhaus property of planar regions; Thus, Number Theory and Its Applications leads the reader in many ways not only to the state of the art of number theory but also to its rich garden.

Emerging Applications of Number Theory

Автор: Dennis A. Hejhal; Joel Friedman; Martin C. Gutzwil
Название: Emerging Applications of Number Theory
ISBN: 146127186X ISBN-13(EAN): 9781461271864
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics.

Cryptographic Applications of Analytic Number Theory

Автор: Igor Shparlinski
Название: Cryptographic Applications of Analytic Number Theory
ISBN: 3034894155 ISBN-13(EAN): 9783034894159
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book introduces new techniques that imply rigorous lower bounds on the com- plexity of some number-theoretic and cryptographic problems. These functions are considered over the residue ring modulo p and over the residue ring modulo an arbitrary divisor d of p - 1.

Advanced Topics in Computational Number Theory

Автор: Henri Cohen
Название: Advanced Topics in Computational Number Theory
ISBN: 0387987274 ISBN-13(EAN): 9780387987279
Издательство: Springer
Рейтинг:
Цена: 62410.00 T
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Описание: Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory.

Advanced Topics in Computational Number Theory

Автор: Henri Cohen
Название: Advanced Topics in Computational Number Theory
ISBN: 1461264197 ISBN-13(EAN): 9781461264194
Издательство: Springer
Рейтинг:
Цена: 60550.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The computation of invariants of algebraic number fields such as integral bases, discriminants, prime decompositions, ideal class groups, and unit groups is important both for its own sake and for its numerous applications, for example, to the solution of Diophantine equations. The practical com- pletion of this task (sometimes known as the Dedekind program) has been one of the major achievements of computational number theory in the past ten years, thanks to the efforts of many people. Even though some practical problems still exist, one can consider the subject as solved in a satisfactory manner, and it is now routine to ask a specialized Computer Algebra Sys- tem such as Kant/Kash, liDIA, Magma, or Pari/GP, to perform number field computations that would have been unfeasible only ten years ago. The (very numerous) algorithms used are essentially all described in A Course in Com- putational Algebraic Number Theory, GTM 138, first published in 1993 (third corrected printing 1996), which is referred to here as CohO]. That text also treats other subjects such as elliptic curves, factoring, and primality testing. Itis important and natural to generalize these algorithms. Several gener- alizations can be considered, but the most important are certainly the gen- eralizations to global function fields (finite extensions of the field of rational functions in one variable overa finite field) and to relative extensions ofnum- ber fields. As in CohO], in the present book we will consider number fields only and not deal at all with function fields.


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