Modern Higher Algebra
Author: Abraham Adrian Albert
Publisher: Courier Dover Publications
Published: 2018-03-21
Total Pages: 337
ISBN-13: 0486823849
DOWNLOAD EBOOK →Originally published: Chicago: University of Chicago Press, 1937.
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Lessons Introductory to the Modern Higher Algebra
Advanced Modern Algebra
Author: Joseph J. Rotman
Publisher: American Mathematical Society
Published: 2023-02-22
Total Pages: 570
ISBN-13: 1470472759
DOWNLOAD EBOOK →This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.
Higher Algebra
Lessons Introductory to the Modern Higher Algebra
Author: George Salmon
Publisher: Hardpress Publishing
Published: 2013-01-28
Total Pages: 350
ISBN-13: 9781313330633
DOWNLOAD EBOOK →Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Introduction to Higher Algebra
Post-Modern Algebra
Author: Jonathan D. H. Smith
Publisher: John Wiley & Sons
Published: 2011-09-30
Total Pages: 386
ISBN-13: 1118030834
DOWNLOAD EBOOK →Advanced algebra in the service of contemporary mathematicalresearch-- a unique introduction. This volume takes an altogether new approach to advanced algebra.Its intriguing title, inspired by the term postmodernism, denotes adeparture from van der Waerden's Modern Algebra--a book that hasdominated the field for nearly seventy years. Post-Modern Algebraoffers a truly up-to-date alternative to the standard approach,explaining topics from an applications-based perspective ratherthan by abstract principles alone. The book broadens the field ofstudy to include algebraic structures and methods used in currentand emerging mathematical research, and describes the powerful yetsubtle techniques of universal algebra and category theory.Classical algebraic areas of groups, rings, fields, and vectorspaces are bolstered by such topics as ordered sets, monoids,monoid actions, quasigroups, loops, lattices, Boolean algebras,categories, and Heyting algebras. The text features: * A clear and concise treatment at an introductory level, tested inuniversity courses. * A wealth of exercises illustrating concepts and their practicalapplication. * Effective techniques for solving research problems in the realworld. * Flexibility of presentation, making it easy to tailor material tospecific needs. * Help with elementary proofs and algebraic notations for studentsof varying abilities. Post-Modern Algebra is an excellent primary or supplementary textfor graduate-level algebra courses. It is also an extremely usefulresource for professionals and researchers in many areas who musttackle abstract, linear, or universal algebra in the course oftheir work.
Lessons Introductory to the Modern Higher Algebra
A Book of Abstract Algebra
Author: Charles C Pinter
Publisher: Courier Corporation
Published: 2010-01-14
Total Pages: 402
ISBN-13: 0486474178
DOWNLOAD EBOOK →Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Lessons Introductory to the Modern Higher Algebra (Classic Reprint)
Author: George Salmon
Publisher: Forgotten Books
Published: 2018-02-14
Total Pages: 162
ISBN-13: 9780656529841
DOWNLOAD EBOOK →Excerpt from Lessons Introductory to the Modern Higher Algebra It may be said to date from a paper published by Professor Boole in the Cambridge Mathematical J our nal for November, 1841, which was mainly occupied with applications of the following theorem: Let an or dinary algebraic equation be made homogeneous by writing a: y for 12; let these variables then be linearly transformed by writing M: pg, Xx My for x and y and let V 0 be the condition that the transformed equation shall have equal roots; then the function V will be equal to the similar function for the original equa tion multiplied by a function of A, p, N, pf, and not in volving the coefficients of the original equation. The truth of this principle is manifest from the fact that if the original equation have a square factor, the trans formed must have one likewise; that, therefore, one of the functions in question must vanish whenever the other does, and, consequently, the one must contain the other as a factor; and since each of the coefficients of the transformed only contains in the first degree the coefficients of the original, the two functions, being of the same degree in those coefficients, can only differ by a quantity independent of them. Similar reasoning ap plies to functions of any number of variables. 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.
