Lanterna Rally
eBook PDF Download Digital Library
Introduction to Higher Algebra
A Concrete Introduction to Higher Algebra
Author: Lindsay Childs
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 348
ISBN-13: 1468400657
DOWNLOAD EBOOK →This book is written as an introduction to higher algebra for students with a background of a year of calculus. The book developed out of a set of notes for a sophomore-junior level course at the State University of New York at Albany entitled Classical Algebra. In the 1950s and before, it was customary for the first course in algebra to be a course in the theory of equations, consisting of a study of polynomials over the complex, real, and rational numbers, and, to a lesser extent, linear algebra from the point of view of systems of equations. Abstract algebra, that is, the study of groups, rings, and fields, usually followed such a course. In recent years the theory of equations course has disappeared. Without it, students entering abstract algebra courses tend to lack the experience in the algebraic theory of the basic classical examples of the integers and polynomials necessary for understanding, and more importantly, for ap preciating the formalism. To meet this problem, several texts have recently appeared introducing algebra through number theory.
A Concrete Introduction to Higher Algebra
Author: Lindsay N. Childs
Publisher: Springer Science & Business Media
Published: 2012-12-04
Total Pages: 540
ISBN-13: 1441987029
DOWNLOAD EBOOK →An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.
Ray's new higher Algebra
Author: Joseph Ray
Publisher: BoD – Books on Demand
Published: 2022-01-25
Total Pages: 410
ISBN-13: 3752561793
DOWNLOAD EBOOK →Reprint of the original, first published in 1866.
A Key to the New Higher Algebra
Advanced Algebra
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
Published: 2007-10-11
Total Pages: 757
ISBN-13: 0817646132
DOWNLOAD EBOOK →Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
RAY'S NEW HIGHER ALGEBRA
Author: JOSEPH. RAY
Publisher:
Published: 2018
Total Pages: 0
ISBN-13: 9781033738399
DOWNLOAD EBOOK →Ray's New Higher Algebra
Author: Joseph Ray
Publisher: Forgotten Books
Published: 2016-11-08
Total Pages: 414
ISBN-13: 9781334215254
DOWNLOAD EBOOK →Excerpt from Ray's New Higher Algebra: Elements of Algebra, for Colleges, Schools, and Private Students It is both a demonstrative and a practical science - a system of truths and reasoning, from which is derived a collection of Rules that may be used in the solution of an endless variety of problems, not only interesting to the student, but many of which are of the highest possible utility in the arts of life. The object of the present treatise is to present an outline of this science in a brief, clear, and practical form. The aim throughout has been to demonstrate every principle, and to fur nish the student the means of understanding clearly the rationale of every process he is required to perform. No effort has been made to simplify subjects by omitting that which is difficult, but rather to present them in such a light as to render their acquisi tion within the reach of all who will take the pains to study. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
New Higher Algebra
