111 Problems In Algebra And Number Theory

111 Problems In Algebra And Number Theory by Adrian Andreescu. Download in PDF, EPUB, and Mobi Format for read it on your Kindle device, PC, phones or tablets. 111 Problems In Algebra And Number Theory books. Click Download for free ebooks.

111 Problems In Algebra And Number Theory

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Author: Adrian Andreescu
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ISBN: 9780996874502
Size: 25.27 MB
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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.
111 Problems in Algebra and Number Theory
Language: en
Pages: 230
Authors: Adrian Andreescu, Vinjai Vale
Categories:
Type: BOOK - Published: 2016-04 - Publisher:
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
Elements of Number Theory
Language: en
Pages: 256
Authors: John Stillwell
Categories: Mathematics
Type: BOOK - Published: 2002-12-13 - Publisher: Springer Science & Business Media
Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There
Problems in Analytic Number Theory
Language: en
Pages: 452
Authors: Maruti Ram Murty
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: Springer Science & Business Media
This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate and senior undergraduate students. The goal is to give a rapid introduction of how analytic methods are used to study the distribution of prime numbers. The book also includes an
A Course in Analytic Number Theory
Language: en
Pages: 371
Authors: Marius Overholt
Categories: Mathematics
Type: BOOK - Published: 2014-12-30 - Publisher: American Mathematical Soc.
This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics
Elements of Algebra
Language: en
Pages: 184
Authors: John Stillwell
Categories: Mathematics
Type: BOOK - Published: 2001-07-20 - Publisher: Springer Science & Business Media
Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve
A Course in Computational Algebraic Number Theory
Language: en
Pages: 536
Authors: Henri Cohen
Categories: Mathematics
Type: BOOK - Published: 2000-08-01 - Publisher: Springer Science & Business Media
A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units,
Group Theory, Algebra, and Number Theory
Language: en
Pages: 221
Authors: Horst G. Zimmer
Categories: Mathematics
Type: BOOK - Published: 1996-01-01 - Publisher: Walter de Gruyter
Books about Group Theory, Algebra, and Number Theory
A Course in Number Theory and Cryptography
Language: en
Pages: 235
Authors: Neal Koblitz
Categories: Mathematics
Type: BOOK - Published: 1994-09-02 - Publisher: Springer Science & Business Media
This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. As such, no background in algebra or number theory is assumed, and the book begins with a discussion of
Rational Number Theory in the 20th Century
Language: en
Pages: 654
Authors: Władysław Narkiewicz
Categories: Mathematics
Type: BOOK - Published: 2011-09-02 - Publisher: Springer Science & Business Media
The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of
An Invitation to Modern Number Theory
Language: en
Pages: 503
Authors: Steven J. Miller, Steven J.. Miller, Ramin Takloo-Bighash
Categories: Mathematics
Type: BOOK - Published: 2006-03-26 - Publisher: Princeton University Press
In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove