Number Theory and Polynomials
Title | Number Theory and Polynomials PDF eBook |
Author | James Fraser McKee |
Publisher | Cambridge University Press |
Pages | 350 |
Release | 2008-05-08 |
Genre | Mathematics |
ISBN | 0521714672 |
Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.
Computer Algebra and Polynomials
Title | Computer Algebra and Polynomials PDF eBook |
Author | Jaime Gutierrez |
Publisher | Springer |
Pages | 222 |
Release | 2015-01-20 |
Genre | Computers |
ISBN | 3319150812 |
Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life. This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects. The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory.
The Theory of Algebraic Numbers: Second Edition
Title | The Theory of Algebraic Numbers: Second Edition PDF eBook |
Author | Harry Pollard |
Publisher | American Mathematical Soc. |
Pages | 162 |
Release | 1975-12-31 |
Genre | Algebraic number theory |
ISBN | 1614440093 |
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.
Additive Number Theory of Polynomials Over a Finite Field
Title | Additive Number Theory of Polynomials Over a Finite Field PDF eBook |
Author | Gove W. Effinger |
Publisher | |
Pages | 184 |
Release | 1991 |
Genre | Mathematics |
ISBN |
This book helps gather the sum of additive number theory.
Integers, Polynomials, and Rings
Title | Integers, Polynomials, and Rings PDF eBook |
Author | Ronald S. Irving |
Publisher | Springer Science & Business Media |
Pages | 283 |
Release | 2004-01-08 |
Genre | Mathematics |
ISBN | 0387403973 |
This book began life as a set of notes that I developed for a course at the University of Washington entitled Introduction to Modern Algebra for Tea- ers. Originally conceived as a text for future secondary-school mathematics teachers, it has developed into a book that could serve well as a text in an - dergraduatecourseinabstractalgebraoracoursedesignedasanintroduction to higher mathematics. This book di?ers from many undergraduate algebra texts in fundamental ways; the reasons lie in the book’s origin and the goals I set for the course. The course is a two-quarter sequence required of students intending to f- ?ll the requirements of the teacher preparation option for our B.A. degree in mathematics, or of the teacher preparation minor. It is required as well of those intending to matriculate in our university’s Master’s in Teaching p- gram for secondary mathematics teachers. This is the principal course they take involving abstraction and proof, and they come to it with perhaps as little background as a year of calculus and a quarter of linear algebra. The mathematical ability of the students varies widely, as does their level of ma- ematical interest.
Analytic Theory of Polynomials
Title | Analytic Theory of Polynomials PDF eBook |
Author | Qazi Ibadur Rahman |
Publisher | Oxford University Press |
Pages | 760 |
Release | 2002 |
Genre | Language Arts & Disciplines |
ISBN | 9780198534938 |
Presents easy to understand proofs of same of the most difficult results about polynomials demonstrated by means of applications
Introduction To Number Theory
Title | Introduction To Number Theory PDF eBook |
Author | Richard Michael Hill |
Publisher | World Scientific Publishing Company |
Pages | 262 |
Release | 2017-12-04 |
Genre | Mathematics |
ISBN | 1786344734 |
'Probably its most significant distinguishing feature is that this book is more algebraically oriented than most undergraduate number theory texts.'MAA ReviewsIntroduction to Number Theory is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. When undertaking a first course in number theory, students enjoy actively engaging with the properties and relationships of numbers.The book begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel's Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell's equation via continued fractions.Throughout the five chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations. This textbook is a valuable resource for undergraduates or those with a background in university level mathematics.