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111 Problems in Algebra and Number Theory download

111 Problems in Algebra and Number Theory download

111 Problems in Algebra and Number Theory. Adrian Andreescu

111 Problems in Algebra and Number Theory
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Author: Adrian Andreescu
Number of Pages: 230 pages
Published Date: 30 Jul 2016
Publisher: Xyz Press
Publication Country: TX, United States
Language: none
Type: PDF
ISBN: 9780996874502
Download Link: 111 Problems in Algebra and Number Theory
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Algebra plays a fundamental role not only in mathematics, but also in various other scientific fields. Without algebra there would be no uniform language to express concepts such as numbers' properties. Thus one must be well-versed in this domain in order to improve in other mathematical disciplines. We cover algebra as its own branch of mathematics and discuss important techniques that are also applicable in many Olympiad problems. Number theory too relies heavily on algebraic machinery. Often times, the solutions to number theory problems involve several steps. Such a solution typically consists of solving smaller problems originating from a hypothesis and ending with a concrete statement that is directly equivalent to or implies the desired condition. In this book, we introduce a solid foundation in elementary number theory, focusing mainly on the strategies which come up frequently in junior-level Olympiad problems.

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