St.petersburg school of number theory, Delone, B.n.
Автор: Miller, Steven J. Takloo-bighash, Ramin Название: Invitation to modern number theory ISBN: 0691120609 ISBN-13(EAN): 9780691120607 Издательство: Wiley Рейтинг: Цена: 8569 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Koshy, Thomas Название: Elementary number theory with applications ISBN: 0123724872 ISBN-13(EAN): 9780123724878 Издательство: Elsevier Science Рейтинг: 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.
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.
Автор: Neukirch Название: Algebraic Number Theory ISBN: 3540653996 ISBN-13(EAN): 9783540653998 Издательство: Springer Рейтинг: Цена: 10280 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Koch Название: Algebraic Number Theory ISBN: 3540630031 ISBN-13(EAN): 9783540630036 Издательство: Springer Рейтинг: Цена: 11879 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Waldschmidt Название: From Number Theory to Physics ISBN: 3540533427 ISBN-13(EAN): 9783540533429 Издательство: Springer Цена: 12233 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Eischen Название: Directions in Number Theory ISBN: 3319309749 ISBN-13(EAN): 9783319309743 Издательство: Springer Рейтинг: Цена: 11219 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: Jones Название: Elementary Number Theory ISBN: 3540761977 ISBN-13(EAN): 9783540761976 Издательство: Springer Рейтинг: Цена: 3268 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: A self-contained treatment of expander graphs which are important in computer science, engineering and mathematics.
Автор: Fine Название: Number Theory ISBN: 3319438735 ISBN-13(EAN): 9783319438733 Издательство: Springer Рейтинг: Цена: 6264 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: S?ndor Название: Handbook of Number Theory I ISBN: 1402042159 ISBN-13(EAN): 9781402042157 Издательство: Springer Рейтинг: Цена: 12623 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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
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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