Fundamentals Of Modern Algebra
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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 Modern Algebra
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Author : Robert Gene Underwood
language : en
Publisher:
Release Date : 2015
Fundamentals Of Modern Algebra written by Robert Gene Underwood and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Electronic books categories.
Fundamentals Of Abstract Algebra
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Author : D. S. Malik
language : en
Publisher:
Release Date : 1997
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.
For use in advanced abstract algebra courses, Fundamentals of Abstract Algebra takes a blended theory and applications approach. Each chapter consists of definitions, theorems, proofs, and corollaries. Throughout the text the reader should find numerous examples that illustrate the concepts, historical background on the development of abstract algebra, and profiles of notable mathematicians.
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.
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.
Fundamentals Of Hopf Algebras
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Author : Robert G. Underwood
language : en
Publisher: Springer
Release Date : 2015-06-10
Fundamentals Of Hopf Algebras written by Robert G. Underwood and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-10 with Mathematics categories.
This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras and Hopf algebras. The last chapter (Chapter 4) discusses several applications of Hopf algebras, some of which are further developed in the author’s 2011 publication, An Introduction to Hopf Algebras. The book may be used as the main text or as a supplementary text for a graduate algebra course. Prerequisites for this text include standard material on groups, rings, modules, algebraic extension fields, finite fields and linearly recursive sequences. The book consists of four chapters. Chapter 1 introduces algebras and coalgebras over a field K; Chapter 2 treats bialgebras; Chapter 3 discusses Hopf algebras and Chapter 4 consists of three applications of Hopf algebras. Each chapter begins with a short overview and ends with a collection of exercises which are designed to review and reinforce the material. Exercises range from straightforward applications of the theory to problems that are devised to challenge the reader. Questions for further study are provided after selected exercises. Most proofs are given in detail, though a few proofs are omitted since they are beyond the scope of this book.
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 Foundation Course In Modern Algebra
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Author : David John Buontempo
language : en
Publisher:
Release Date : 1975
A Foundation Course In Modern Algebra written by David John Buontempo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Algebra categories.
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.
Basic Modern Algebra With Applications
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Author : Mahima Ranjan Adhikari
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-08
Basic Modern Algebra With Applications written by Mahima Ranjan Adhikari 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 2013-12-08 with Mathematics categories.
The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. In addition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theory to structure theory of rings and homological algebra. Algebraic aspects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraic topology, category theory, algebraic geometry, algebraic number theory, cryptography and theoretical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, with the help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, examples, exercises and historical notes represents a valuable and unique resource.