Download or read book A Brief Course in Advanced Algebra written by Herbert Earle Buchanan and published by . This book was released on 1928 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Brief Course in Advanced Algebra written by Charles Ambrose Velzer and published by . This book was released on 1888 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Brief Course in Advanced Algebra written by C. A. Van Velzer and published by Forgotten Books. This book was released on 2015-06-16 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Brief Course in Advanced Algebra: Being Course Two in Mathmatics in the University of Wisconsin 1. Let us notice what is meant by Algebraic Quantity, and how the notion of it may originate. The primitive conception of number is used when we enumerate the marbles in a box, and say: 0, 1, 2, 3, 4, etc. Our simple scale is arithmetical quantity, and it runs down to a definite nothing, or zero, and stops. But let us attempt to apply this scale in the measurement of other things. Suppose we are estimating time. Where is the zero from which all time is to be measured in one direction, or sense? There is no such zero, as in the case of the marbles; for you can conceive of no event so far past but what other events preceded it. We are forced to select a standard event, and measure the time of other events with reference to the lapse before or after that. The zero used is an arbitrary one, and there is quantity in reference to it in two opposite senses, future and past, or, as is said in algebra, positive and negative. We are likewise obliged to recognize quantity as extending both ways from a zero in the attempt to measure many other things; in locating points along an east and west line, no point is so far west but what other points are west of it, hence could not be located in the arithmetical scale; the same in measuring force, which may be attractive or repulsive; or motion, which may be toward or from; etc. Thus our notion of algebraic quantity, as we name this kind of number, has arisen. 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.
Download or read book BRIEF COURSE IN ADVD ALGEBRA B written by Charles Ambrose Velzer and published by Wentworth Press. This book was released on 2016-08-25 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.
Download or read book A Brief Course in Advanced Algebra written by Herbert Earle Buchanan and published by . This book was released on 1925 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Answers to Exercises in A Brief Course in Advanced Algebra written by Herbert Earle Buchanan and published by . This book was released on 1926 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Abstract Algebra written by John W. Lawrence and published by Cambridge University Press. This book was released on 2021-04-15 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through this book, upper undergraduate mathematics majors will master a challenging yet rewarding subject, and approach advanced studies in algebra, number theory and geometry with confidence. Groups, rings and fields are covered in depth with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a fresh take on Gröbner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine. It includes a detailed treatment of the basics on finite groups, including Sylow theory and the structure of finite abelian groups. Galois theory and its applications to polynomial equations and geometric constructions are treated in depth. Those interested in computations will appreciate the novel treatment of division algorithms. This rigorous text 'gets to the point', focusing on concisely demonstrating the concept at hand, taking a 'definitions first, examples next' approach. Exercises reinforce the main ideas of the text and encourage students' creativity.
Download or read book Answers to Exercises and Additional Problems in A Brief Course in Advanced Algebra written by Herbert Earle Buchanan and published by . This book was released on 1937 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Algebra written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2007-10-11 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advanced Algebra for Colleges and Schools written by William James Milne and published by . This book was released on 1902 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Brief Course in Algebra Classic Reprint written by Raymond Earl Manchester and published by Forgotten Books. This book was released on 2018-02-04 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Brief Course in Algebra During the past year or two there has been a grow ing demand for a twenty weeks' course in Algebra which will not only serve as a preparatory course for more advanced mathematics, but will have an indi vidual unity as well. It must offer an Opportunity to the short term student to get a well established notion of the subject through quadratic equations. This text is arranged to satisfy such a course. All unnecessary theorems, proofs, and processes have been omitted. The problem lists are very short and are to be supplemented by the instructor from the experience of the class. It is, in fact, a course in generalized arithmetic, arranged to face the de mands made by the ninety per cent Of students who expect to leave school either during or at the expira tion of the high school course. 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.
Download or read book Algebra written by I. Martin Isaacs and published by American Mathematical Soc.. This book was released on 2009 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: as a student." --Book Jacket.
Download or read book Advanced Course in Algebra written by Webster Wells and published by . This book was released on 1904 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Linear Algebra written by Bruce Cooperstein and published by CRC Press. This book was released on 2016-04-19 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Linear Algebra focuses on vector spaces and the maps between them that preserve their structure (linear transformations). It starts with familiar concepts and then slowly builds to deeper results. Along with including many exercises and examples, each section reviews what students need to know before studying the material. The book first introduces vector spaces over fields as well as the fundamental concepts of linear combinations, span of vectors, linear independence, basis, and dimension. After covering linear transformations, it discusses the algebra of polynomials with coefficients in a field, concentrating on results that are consequences of the division algorithm. The author then develops the whole structure theory of a linear operator on a finite dimensional vector space from a collection of some simple results. He also explores the entire range of topics associated with inner product spaces, from the Gram–Schmidt process to the spectral theorems for normal and self-adjoint operators on an inner product space. The text goes on to rigorously describe the trace and determinant of linear operators and square matrices. The final two chapters focus on bilinear forms and tensor products and related material. Designed for advanced undergraduate and beginning graduate students, this textbook shows students the beauty of linear algebra. It also prepares them for further study in mathematics.
Download or read book Advanced Calculus Revised Edition written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Download or read book A Course in Algebra written by Ėrnest Borisovich Vinberg and published by American Mathematical Soc.. This book was released on 2003 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Great book! The author's teaching experinece shows in every chapter. --Efim Zelmanov, University of California, San Diego Vinberg has written an algebra book that is excellent, both as a classroom text or for self-study. It is plain that years of teaching abstract algebra have enabled him to say the right thing at the right time. --Irving Kaplansky, MSRI This is a comprehensive text on modern algebra written for advanced undergraduate and basic graduate algebra classes. The book is based on courses taught by the author at the Mechanics and Mathematics Department of Moscow State University and at the Mathematical College of the Independent University of Moscow. The unique feature of the book is that it contains almost no technically difficult proofs. Following his point of view on mathematics, the author tried, whenever possible, to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. Another important feature is that the book presents most of the topics on several levels, allowing the student to move smoothly from initial acquaintance to thorough study and deeper understanding of the subject. Presented are basic topics in algebra such as algebraic structures, linear algebra, polynomials, groups, as well as more advanced topics like affine and projective spaces, tensor algebra, Galois theory, Lie groups, associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed. Written with extreme care and supplied with more than 200 exercises and 70 figures, the book is also an excellent text for independent study.
Download or read book Advanced Algebra written by Herbert E. Hawkes and published by Forgotten Books. This book was released on 2015-06-02 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Advanced Algebra This book is designed for use in secondary schools and in short college courses. It aims to present in concise but clear form the portions of algebra that are required for entrance to the most exacting colleges and technical schools. The chapters on algebra to quadratics are intended for a review of the subject, and contain many points of view that should be presented to a student after he has taken a first course on those topics. Throughout the book the attention is concentrated on subjects that are most vital, pedagogically and practically, while topics that demand a knowledge of the calculus for their complete comprehension (as multiple roots, and Sturm's theorem) or are more closely related to other portions of mathematics (as theory of numbers, and series) have been omitted. The chapter on graphical representation has been introduced early, in the belief that the illumination which it affords greatly enlivens the entire presentation of algebra. The discussion of the relation between pairs of linear equations and pairs of straight lines is particularly suggestive. In each chapter the discussion is directed toward a definite result. 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.