Elementary Number Theory, Effinger Gove, Mullen Gary L.
Автор: LovГЎsz L., PelikГЎn J., Vesztergombi K. Название: Discrete mathematics / elementary and beyond ISBN: 0387955852 ISBN-13(EAN): 9780387955858 Издательство: Springer Рейтинг: Цена: 5304.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics.
Автор: Lewinter Marty Название: Elementary Number Theory with Programming ISBN: 1119062764 ISBN-13(EAN): 9781119062769 Издательство: Wiley Рейтинг: Цена: 12189.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming.
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.
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: Krishnaswami Alladi; P.D.T.A. Elliott; A. Granvill Название: Analytic and Elementary Number Theory ISBN: 0792382730 ISBN-13(EAN): 9780792382737 Издательство: Springer Рейтинг: Цена: 23751.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A collection of papers in `analytic and elementary number theory` in memory of Professor Paul Erdos. It deals with various topics including: arithmetical functions; probabilistic number theory; properties of integer sequences; modular forms, partitions; and, q-series. It is intended for researchers and students of number theory and analysis.
Описание: The book is based on lecture notes of a course 'from elementary number theory to an introduction to matrix theory' given at the Technion to gifted high school students. It is problem based, and covers topics in undergraduate mathematics that can be introduced in high school through solving challenging problems. These topics include Number theory, Set Theory, Group Theory, Matrix Theory, and applications to cryptography and search engines.
Автор: Effinger Gove, Mullen Gary L. Название: Elementary Number Theory ISBN: 1032044187 ISBN-13(EAN): 9781032044187 Издательство: Taylor&Francis Рейтинг: Цена: 22202.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text is intended to be used as an undergraduate introduction to the theory of numbers. The authors have been immersed in this area of mathematics for many years and hope that this text will inspire students (and instructors) to study, understand, and come to love this truly beautiful subject.
Автор: Hida Haruzo Название: Elementary Modular Iwasawa Theory ISBN: 9811241368 ISBN-13(EAN): 9789811241369 Издательство: World Scientific Publishing Рейтинг: Цена: 30140.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book is the first to provide a comprehensive and elementary account of the new Iwasawa theory innovated via the deformation theory of modular forms and Galois representations. The deformation theory of modular forms is developed by generalizing the cohomological approach discovered in the author's 2019 AMS Leroy P Steele Prize-winning article without using much algebraic geometry.
Starting with a description of Iwasawa's classical results on his proof of the main conjecture under the Kummer-Vandiver conjecture (which proves cyclicity of his Iwasawa module more than just proving his main conjecture), we describe a generalization of the method proving cyclicity to the adjoint Selmer group of every ordinary deformation of a two-dimensional Artin Galois representation.
The fundamentals in the first five chapters are as follows:
Iwasawa's proof;
a modular version of Iwasawa's discovery by Kubert-Lang as an introduction to modular forms;
a level-headed description of the p-adic interpolation of modular forms and p-adic L-functions, which are developed into a modular deformation theory;
Galois deformation theory of the abelian case.
The continuing chapters provide the level of exposition accessible to graduate students, while the results are the latest. Readers will find:
the theory is generalized to the non-abelian case of dimension 2 including a description of a non-abelian class number formula relating the order of the adjoint p-Selmer group to the adjoint p-adic L-function;
cyclicity over the Hecke algebra of the adjoint Selmer group of the two-dimensional Artin representations and their deformations is shown;
a proved conjecture of Greenberg on p-local indecomposability of modular p-adic Galois representation in many cases unconditionally;
analytic details on the non-abelian class number formula.
Many open problems are presented to stimulate young researchers pursuing their field of study.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
