Fundamental Concepts Of Abstract Algebra
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Fundamental Concepts Of Algebra
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Author :
language : en
Publisher: Academic Press
Release Date : 1957-01-01
Fundamental Concepts Of Algebra written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957-01-01 with Mathematics categories.
Fundamental Concepts of Algebra
Fundamental Concepts Of Abstract Algebra
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Author : Gertrude Ehrlich
language : en
Publisher: Courier Corporation
Release Date : 2013-05-13
Fundamental Concepts Of Abstract Algebra written by Gertrude Ehrlich and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Mathematics categories.
This undergraduate text presents extensive coverage of set theory, groups, rings, modules, vector spaces, and fields. It offers numerous examples, definitions, theorems, proofs, and practice exercises. 1991 edition.
Fundamentals Of Modern Algebra
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Author : Robert G Underwood
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-12-28
Fundamentals Of Modern Algebra written by Robert G Underwood and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-28 with Mathematics categories.
The purpose of this book is to provide a concise yet detailed account of fundamental concepts in modern algebra. The target audience for this book is first-year graduate students in mathematics, though the first two chapters are probably accessible to well-prepared undergraduates. The book covers a broad range of topics in modern algebra and includes chapters on groups, rings, modules, algebraic extension fields, and finite fields. Each chapter begins with an overview which provides a road map for the reader showing what material will be covered. At the end of each chapter we collect exercises which review and reinforce the material in the corresponding sections. These exercises range from straightforward applications of the material to problems designed to challenge the reader. We also include a list of "Questions for Further Study" which pose problems suitable for master's degree research projects.
Fundamentals Of Abstract Algebra
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Author : D. S. Malik
language : en
Publisher: McGraw-Hill College
Release Date : 1997
Fundamentals Of Abstract Algebra written by D. S. Malik and has been published by McGraw-Hill College this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Each chapter consists of definitions, theorem, proofs and corollaries. There are also numerous examples to help illustrate the concepts. Sprinkled throughout the text are comments dealing with the historical development of abstract algebra
Proofs And Fundamentals
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Author : Ethan D. Bloch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Proofs And Fundamentals written by Ethan D. Bloch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.
A History Of Abstract Algebra
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Author : Israel Kleiner
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-20
A History Of Abstract Algebra written by Israel Kleiner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-20 with Mathematics categories.
This book does nothing less than provide an account of the intellectual lineage of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared insoluble by classical means. A major theme of the book is to show how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference.
Instructor S Manual To Accompany Fundamentals Of Abstract Algebra
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Author : D. S. Malik
language : en
Publisher:
Release Date : 1997
Instructor S Manual To Accompany Fundamentals Of Abstract Algebra written by D. S. Malik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Algebra, Abstract categories.
Lectures In Abstract Algebra I
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Author : N. Jacobson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures In Abstract Algebra I written by N. Jacobson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The present volume is the first of three that will be published under the general title Lectures in Abstract Algebra. These vol umes are based on lectures which the author has given during the past ten years at the University of North Carolina, at The Johns Hopkins University, and at Yale "University. The general plan of the work IS as follows: The present first volume gives an introduction to abstract algebra and gives an account of most of the important algebraIc concepts. In a treatment of this type it is impossible to give a comprehensive account of the topics which are introduced. Nevertheless we have tried to go beyond the foundations and elementary properties of the algebraic sys tems. This has necessitated a certain amount of selection and omission. We feel that even at the present stage a deeper under standing of a few topics is to be preferred to a superficial under standing of many. The second and third volumes of this work will be more special ized in nature and will attempt to give comprehensive accounts of the topics which they treat. Volume II will bear the title Linear Algebra and will deal with the theorv of vectQ!_JlP. -a. ces. . . . . Volume III, The Theory of Fields and Galois Theory, will be con cerned with the algebraic structure offieras and with valuations of fields. All three volumes have been planned as texts for courses.
Fundamentals Of Abstract Algebra
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Author : Mark J. DeBonis
language : en
Publisher: CRC Press
Release Date : 2024-04-11
Fundamentals Of Abstract Algebra written by Mark J. DeBonis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-11 with Mathematics categories.
Fundamentals of Abstract Algebra is a primary textbook for a one year first course in Abstract Algebra, but it has much more to offer besides this. The book is full of opportunities for further, deeper reading, including explorations of interesting applications and more advanced topics, such as Galois theory. Replete with exercises and examples, the book is geared towards careful pedagogy and accessibility, and requires only minimal prerequisites. The book includes a primer on some basic mathematical concepts that will be useful for readers to understand, and in this sense the book is self-contained. Features Self-contained treatments of all topics Everything required for a one-year first course in Abstract Algebra, and could also be used as supplementary reading for a second course Copious exercises and examples Mark DeBonis received his PhD in Mathematics from the University of California, Irvine, USA. He began his career as a theoretical mathematician in the field of group theory and model theory, but in later years switched to applied mathematics, in particular to machine learning. He spent some time working for the US Department of Energy at Los Alamos National Lab as well as the US Department of Defense at the Defense Intelligence Agency, both as an applied mathematician of machine learning. He held a position as Associate Professor of Mathematics at Manhattan College in New York City, but later left to pursue research working for the US Department of Energy at Sandia National Laboratory as a Principal Data Analyst. His research interests include machine learning, statistics and computational algebra.
A First Graduate Course In Abstract Algebra
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Author : William Jennings Wickless
language : en
Publisher: CRC Press
Release Date : 2019-09-27
A First Graduate Course In Abstract Algebra written by William Jennings Wickless and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-27 with Mathematics categories.
Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.