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Author : Henry Sinclair Hall,Samuel Ratcliffe Knight
Publisher : Unknown
Page : 606 pages
File Size : 55,5 Mb
Release : 1891
Category : Algebra
ISBN : STANFORD:36105031175586
Author : Lindsay Childs
Publisher : Springer Science & Business Media
Page : 348 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468400656
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.
Author : Maxime Bôcher,Edmund Pendleton Randolph Duval
Publisher : Legare Street Press
Page : 0 pages
File Size : 47,7 Mb
Release : 2022-10-27
Category : History
ISBN : 1016262590
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Joseph Ray
Publisher : BoD – Books on Demand
Page : 410 pages
File Size : 47,7 Mb
Release : 2022-01-25
Category : Fiction
ISBN : 9783752561784
Reprint of the original, first published in 1866.
Author : Abraham Adrian Albert
Publisher : Courier Dover Publications
Page : 337 pages
File Size : 46,6 Mb
Release : 2018-03-21
Category : Mathematics
ISBN : 9780486823843
Originally published: Chicago: University of Chicago Press, 1937.
Author : Joseph Ray
Publisher : Forgotten Books
Page : 414 pages
File Size : 55,9 Mb
Release : 2016-11-08
Category : Mathematics
ISBN : 1334215251
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.
Author : Lindsay N. Childs
Publisher : Springer Science & Business Media
Page : 540 pages
File Size : 50,9 Mb
Release : 2012-12-04
Category : Mathematics
ISBN : 9781441987020
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.
Author : JOSEPH. RAY
Publisher : Unknown
Page : 0 pages
File Size : 40,8 Mb
Release : 2018
Category : Electronic
ISBN : 1033738395
Author : Benjamin Greenleaf
Publisher : Unknown
Page : 408 pages
File Size : 49,7 Mb
Release : 1869
Category : Electronic
ISBN : HARVARD:HN27JX
Author : Webster Wells
Publisher : Unknown
Page : 478 pages
File Size : 46,7 Mb
Release : 1909
Category : Algebra
ISBN : OCLC:1011436
Author : Benjamin Greenleaf
Publisher : Forgotten Books
Page : 410 pages
File Size : 49,9 Mb
Release : 2017-09-12
Category : Mathematics
ISBN : 152825127X
Excerpt from New Higher Algebra: An Analytical Course Designed for High Schools, Academies, and Colleges The author's New Elementary Algebra having now, after several years' trial, proved a great success, many teachers, acquainted with the practical results accomplished by the use Of that book, have been very urgent in their demands for a work on the same plan, for advanced students. 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.
Author : Benjamin Greenleaf
Publisher : Unknown
Page : 420 pages
File Size : 54,6 Mb
Release : 1872
Category : Algebra
ISBN : HARVARD:HN3U4S
Author : Benjamin Greenleaf
Publisher : Unknown
Page : 306 pages
File Size : 55,7 Mb
Release : 1865
Category : Algebra
ISBN : HARVARD:32044097010060
Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
Page : 730 pages
File Size : 45,6 Mb
Release : 2007-10-11
Category : Mathematics
ISBN : 9780817646134
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.
Author : Benjamin Greenleaf
Publisher : BoD – Books on Demand
Page : 278 pages
File Size : 46,7 Mb
Release : 2022-02-23
Category : Fiction
ISBN : 9783752571189
Reprint of the original, first published in 1867.