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St.petersburg school of number theory, Delone, B.n.



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Автор: Delone, B.n.
Название:  St.petersburg school of number theory   (Б. Делон: Санкт-Петербургская школа теории чисел)
Издательство: Eurospan
Классификация:
ISBN: 0821834576
ISBN-13(EAN): 9780821834572
ISBN: 0-8218-3457-6
ISBN-13(EAN): 978-0-8218-3457-2
Обложка/Формат: Hardback
Страницы: 278
Вес: 0.74 кг.
Дата издания: 15.08.2005
Серия: History of mathematics
Издание: Illustrated ed
Иллюстрации: Illustrations
Размер: 190 x 262 x 21
Читательская аудитория: Postgraduate, research & scholarly
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Поставляется из: Англии
Описание: The Russian book, The St Petersburg School of Number Theory, is about the life and work of prominent members of this school, such as Chebyshev, Korkin, Zolotarev, Markov, Voronoi, and Vinogradov. This English translation acquaints the reader with the most important works of these six eminent members of the St Petersburg school.



Invitation to modern number theory

Автор: Miller, Steven J. Takloo-bighash, Ramin
Название: Invitation to modern number theory
ISBN: 0691120609 ISBN-13(EAN): 9780691120607
Издательство: Wiley
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Цена: 8569 р.
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Описание: The biblical story of Jacob and his children must have troubled ancient readers. By any standard, this was a family with problems. This title retraces the steps of ancient biblical interpreters as they struggled with such problems. In a manner accessible to beginning undergraduates, this book introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth`s Theorem, and more. Showing how experiments are used to test conjectures and prove theorems, it allows students to do original work on such problems.

Elementary number theory with applications

Автор: Koshy, Thomas
Название: Elementary number theory with applications
ISBN: 0123724872 ISBN-13(EAN): 9780123724878
Издательство: Elsevier Science
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Цена: 7475 р.
Наличие на складе: Невозможна поставка.

Описание: Includes sections on topics like Catalan numbers and their relationship to Pascal`s triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. This title covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes.

Modular functions and dirichlet series in number theory

Автор: Apostol, Tom M.
Название: Modular functions and dirichlet series in number theory
ISBN: 0387971270 ISBN-13(EAN): 9780387971278
Издательство: Springer
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Цена: 5605 р.
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Описание: Offers a classical treatment of elliptic and modular functions with some of their number-theoretic applications. This title also offers a bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers topics such as Hecke`s theory of entire forms with multiplicative Fourier coefficients.

Algebraic Number Theory

Автор: Neukirch
Название: Algebraic Number Theory
ISBN: 3540653996 ISBN-13(EAN): 9783540653998
Издательство: Springer
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Цена: 10280 р.
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Описание: Aims to provide an introduction to algebraic number theory, which is largely based on the conception of (one-dimensional) arithmetic algebraic geometry. This book discusses the classical concepts from the viewpoint of Arakelov theory. It concludes with a chapter on zeta-functions and L-series.

Algebraic Number Theory

Автор: Koch
Название: Algebraic Number Theory
ISBN: 3540630031 ISBN-13(EAN): 9783540630036
Издательство: Springer
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Цена: 11879 р.
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Описание: This book is an exposition of the main ideas of algebraic number theory. It is written for the non-expert. Therefore, beyond some algebra, there are almost no prerequisites.

From Number Theory to Physics

Автор: Waldschmidt
Название: From Number Theory to Physics
ISBN: 3540533427 ISBN-13(EAN): 9783540533429
Издательство: Springer
Цена: 12233 р.
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Описание: Various developments in Physics have involved many questions related to Number Theory. This trend is especially visible in two broad families of problems, namely, field theories, and dynamical system and chaos.

Directions in Number Theory

Автор: Eischen
Название: Directions in Number Theory
ISBN: 3319309749 ISBN-13(EAN): 9783319309743
Издательство: Springer
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Цена: 11219 р.
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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.
Number Theory: An Elementary Introduction Through Diophantine Problems

Автор: Duverney Daniel
Название: Number Theory: An Elementary Introduction Through Diophantine Problems
ISBN: 9814307459 ISBN-13(EAN): 9789814307451
Издательство: World Scientific Publishing
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Цена: 7893 р.
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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.

Elementary Number Theory

Автор: Jones
Название: Elementary Number Theory
ISBN: 3540761977 ISBN-13(EAN): 9783540761976
Издательство: Springer
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Цена: 3268 р.
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Описание: This book gives an undergraduate-level introduction to Number Theory, with the emphasis on fully explained proofs and examples; exercises (with solutions) are integrated into the text. The first few chapters, covering divisibility, prime numbers and modular arithmetic, assume only basic school algebra, and are therefore suitable for first or second year students as an introduction to the methods of pure mathematics. Elementary ideas about groups and rings (summarised in an appendix) are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares; in particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

Elementary Number Theory, Group Theory and Ramanujan Graphs

Автор: Davidoff
Название: Elementary Number Theory, Group Theory and Ramanujan Graphs
ISBN: 0521824265 ISBN-13(EAN): 9780521824262
Издательство: Cambridge Academ
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Цена: 8535 р.
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Описание: A self-contained treatment of expander graphs which are important in computer science, engineering and mathematics.

Number Theory

Автор: Fine
Название: Number Theory
ISBN: 3319438735 ISBN-13(EAN): 9783319438733
Издательство: Springer
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Цена: 6264 р.
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Описание:

Now in its second edition, this textbook provides an introduction and overview of number theory based on the density and properties of the prime numbers. This unique approach offers both a firm background in the standard material of number theory, as well as an overview of the entire discipline. All of the essential topics are covered, such as the fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. New in this edition are coverage of p-adic numbers, Hensel's lemma, multiple zeta-values, and elliptic curve methods in primality testing.
Key topics and features include:
A solid introduction to analytic number theory, including full proofs of Dirichlet's Theorem and the Prime Number TheoremConcise treatment of algebraic number theory, including a complete presentation of primes, prime factorizations in algebraic number fields, and unique factorization of idealsDiscussion of the AKS algorithm, which shows that primality testing is one of polynomial time, a topic not usually included in such textsMany interesting ancillary topics, such as primality testing and cryptography, Fermat and Mersenne numbers, and Carmichael numbers
The user-friendly style, historical context, and wide range of exercises that range from simple to quite difficult (with solutions and hints provided for select exercises) make Number Theory: An Introduction via the Density of Primes ideal for both self-study and classroom use. Intended for upper level undergraduates and beginning graduates, the only prerequisites are a basic knowledge of calculus, multivariable calculus, and some linear algebra. All necessary concepts from abstract algebra and complex analysis are introduced where needed.
Handbook of Number Theory I

Автор: S?ndor
Название: Handbook of Number Theory I
ISBN: 1402042159 ISBN-13(EAN): 9781402042157
Издательство: Springer
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Цена: 12623 р.
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Описание: This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines.

Cross-references provide new insight into fundamental research. This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.


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