Rational Number Theory in the 20th Century, Narkiewicz
Автор: W?adys?aw Narkiewicz Название: Rational Number Theory in the 20th Century ISBN: 1447127153 ISBN-13(EAN): 9781447127154 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book surveys 20th century progress in classical number theory, from the proof of the Prime Number Theorem in 1896 through the proof of Fermat`s Last Theorem, focusing on the part of number theory that addresses properties of integers and rational numbers.
Автор: Delone, B.n. Название: St.petersburg school of number theory ISBN: 0821834576 ISBN-13(EAN): 9780821834572 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 72330.00 T Наличие на складе: Невозможна поставка. 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.
Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics--the quest for a proof of Fermat's Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Students will see how Wiles's proof of Fermat's Last Theorem opened many new areas for future work.
New to the Fourth Edition
Provides up-to-date information on unique prime factorization for real quadratic number fields, especially Harper's proof that Z(√14) is Euclidean
Presents an important new result: Mihăilescu's proof of the Catalan conjecture of 1844
Revises and expands one chapter into two, covering classical ideas about modular functions and highlighting the new ideas of Frey, Wiles, and others that led to the long-sought proof of Fermat's Last Theorem
Improves and updates the index, figures, bibliography, further reading list, and historical remarks
Written by preeminent mathematicians Ian Stewart and David Tall, this text continues to teach students how to extend properties of natural numbers to more general number structures, including algebraic number fields and their rings of algebraic integers. It also explains how basic notions from the theory of algebraic numbers can be used to solve problems in number theory.
Автор: Travaglini Название: Number Theory, Fourier Analysis and Geometric Discrepancy ISBN: 1107619858 ISBN-13(EAN): 9781107619852 Издательство: Cambridge Academ Рейтинг: Цена: 40130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Geometric discrepancy theory is a rapidly growing modern field. This book provides a complete introduction to the topic with exposition based on classical number theory and Fourier analysis, but assuming no prior knowledge of either. Ideal as a guide to the subject for advanced undergraduate or beginning graduate students.
Автор: Borwein Peter Название: Computational Excursions in Analysis and Number Theory ISBN: 0387954449 ISBN-13(EAN): 9780387954448 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.
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