First Course In Rings Fields And Vector Spaces
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Rings Fields And Vector Spaces
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Author : Bharath Sethuraman
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-11-26
Rings Fields And Vector Spaces written by Bharath Sethuraman 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 1996-11-26 with Mathematics categories.
Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.
First Course In Rings Fields And Vector Spaces
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Author : Phani Bhushan Bhattacharya
language : en
Publisher: John Wiley & Sons
Release Date : 1977
First Course In Rings Fields And Vector Spaces written by Phani Bhushan Bhattacharya and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
A First Course In Abstract Algebra
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Author : Marlow Anderson
language : en
Publisher: CRC Press
Release Date : 2005-01-27
A First Course In Abstract Algebra written by Marlow Anderson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-27 with Mathematics categories.
Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with something students know and abstracting from there
First Course In Rings Fields And Vector Spaces
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Author : BHATTACHARYA
language : en
Publisher: John Wiley & Sons
Release Date : 1971-05-01
First Course In Rings Fields And Vector Spaces written by BHATTACHARYA and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-05-01 with categories.
Foundations Of Applied Mathematics Volume I
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Author : Jeffrey Humpherys
language : en
Publisher: SIAM
Release Date : 2017-07-07
Foundations Of Applied Mathematics Volume I written by Jeffrey Humpherys and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-07 with Mathematics categories.
This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?
Abstract Algebra
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Author : Thomas Judson
language : en
Publisher: Orthogonal Publishing L3c
Release Date : 2023-08-11
Abstract Algebra written by Thomas Judson and has been published by Orthogonal Publishing L3c this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-11 with categories.
Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.
Introduction To Abstract Algebra
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Author : Jonathan D. H. Smith
language : en
Publisher:
Release Date : 2024-10-14
Introduction To Abstract Algebra written by Jonathan D. H. Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-14 with Mathematics categories.
Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics. This edition offers numerous updates based on feedback from first edition adopters, as well as improved and simplified proofs of a number of important theorems. Many new exercises have been added throughou
Algebra In Action A Course In Groups Rings And Fields
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Author : Shahriar Shahriar
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-08-16
Algebra In Action A Course In Groups Rings And Fields written by Shahriar Shahriar and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-16 with Mathematics categories.
This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.
First Course In Linear Algebra
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Author : Phani Bhushan Bhattacharya
language : en
Publisher: New Age International
Release Date : 1983
First Course In Linear Algebra written by Phani Bhushan Bhattacharya and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Algebra categories.
Algebra
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Author : William A. Adkins
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algebra written by William A. Adkins 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.
This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules? The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generaliza tion of vector spaces. (To be precise, modules are to rings as vector spaces are to fields.