Problems in Algebraic Number Theory

Problems in Algebraic Number Theory PDF Author: M. Ram Murty
Publisher: Springer Science & Business Media
ISBN: 0387269983
Category : Mathematics
Languages : en
Pages : 354

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Book Description
The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved

Problems in Algebraic Number Theory

Problems in Algebraic Number Theory PDF Author: M. Ram Murty
Publisher: Springer Science & Business Media
ISBN: 0387269983
Category : Mathematics
Languages : en
Pages : 354

Get Book Here

Book Description
The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved

Problems in Algebraic Number Theory

Problems in Algebraic Number Theory PDF Author: M. Ram Murty
Publisher: Springer Science & Business Media
ISBN: 0387221824
Category : Mathematics
Languages : en
Pages : 354

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Book Description
The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved

The Theory of Algebraic Numbers: Second Edition

The Theory of Algebraic Numbers: Second Edition PDF Author: Harry Pollard
Publisher: American Mathematical Soc.
ISBN: 1614440093
Category : Mathematics
Languages : en
Pages : 175

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Book Description
This monograph makes available, in English, the elementary parts of classical algebraic number theory. This second edition follows closely the plan and style of the first edition. The principal changes are the correction of misprints, the expansion or simplification of some arguments, and the omission of the final chapter on units in order to make way for the introduction of some two hundred problems.

Lectures on the Theory of Algebraic Numbers

Lectures on the Theory of Algebraic Numbers PDF Author: E. T. Hecke
Publisher: Springer Science & Business Media
ISBN: 1475740921
Category : Mathematics
Languages : en
Pages : 251

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Book Description
. . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task. " We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g. , "torsion free group" for "pure group. " One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D. A. Marcus (Springer-Verlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R.

A Brief Guide to Algebraic Number Theory

A Brief Guide to Algebraic Number Theory PDF Author: H. P. F. Swinnerton-Dyer
Publisher: Cambridge University Press
ISBN: 9780521004237
Category : Mathematics
Languages : en
Pages : 164

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Book Description
Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.

Algebraic Number Theory and Fermat's Last Theorem

Algebraic Number Theory and Fermat's Last Theorem PDF Author: Ian Stewart
Publisher: CRC Press
ISBN: 143986408X
Category : Mathematics
Languages : en
Pages : 334

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Book Description
First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it

Equations and Inequalities

Equations and Inequalities PDF Author: Jiri Herman
Publisher: Springer Science & Business Media
ISBN: 1461212707
Category : Mathematics
Languages : en
Pages : 353

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Book Description
A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.

111 Problems in Algebra and Number Theory

111 Problems in Algebra and Number Theory PDF Author: Adrian Andreescu
Publisher:
ISBN: 9780996874502
Category : Algebra
Languages : en
Pages : 0

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Book Description
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.

Elementary Number Theory

Elementary Number Theory PDF Author: Ethan D. Bolker
Publisher: Courier Corporation
ISBN: 0486153096
Category : Mathematics
Languages : en
Pages : 208

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Book Description
This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and more.

Algebraic Number Theory

Algebraic Number Theory PDF Author: Jürgen Neukirch
Publisher: Springer
ISBN: 9783642084737
Category : Mathematics
Languages : en
Pages : 0

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Book Description
This introduction to algebraic number theory discusses the classical concepts from the viewpoint of Arakelov theory. The treatment of class theory is particularly rich in illustrating complements, offering hints for further study, and providing concrete examples. It is the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available.