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Lectures on Number Theory

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English textbook for lectures on number theory, which presents, among others: local methods, the law of reciprocity for square residuals, theorem on prime numbers, theorem on the distribution of ideals in integer rings... czytaj więcej

Lectures on Number Theory

Andrzej Białynicki-Birula, Mariusz Skałba
Date of reprint: 2018-08-02
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Place and year of publication:
Warszawa 2016
Publication language:
Number of page:
17x24 cm
180 g
Publication type:
Praca naukowa
The book is intended as a manual for a half-year introductory course of number theory. The aim is to present the theory to the extent which is indispensable to every mathematics student, regardless of their future specialization. The target points include the local methods, the Quadratic Reciprocity Law, the Prime Number Theorem, unique factorization of ideals in rings of algebraic integers in finite extensions of~Q, units in the rings of integers in quadratic extensions of~Q, and decomposition of primes in rings of integers. The authors' main aim was to show that the beauty of number theory lies in the fact that on the one hand it enriches other domains of mathematics, and on the other hand it makes frequent use of their methods and results. Each chapter is complemented with problems, of different complexity. Some solutions and hints are given at the end of the book.

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Andrzej Białynicki-Birula – is a professor of Warsaw University and a member of the Polish Academy of Sciences. He specializes in algebra and algebraic geometry.

Mariusz Skałba – is a professor of Warsaw University. He specializes in number theory.

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