Abstract Algebra

Written By Joseph H. Silverman
Abstract Algebra
  • Publsiher : American Mathematical Society
  • Release : 07 March 2022
  • ISBN : 1470468603
  • Pages : 567 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Abstract Algebra written by Joseph H. Silverman which was release on 07 March 2022, this book published by American Mathematical Society. Available in PDF, EPUB and Kindle Format. Book excerpt: This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper results are proven. The second half of the book contains material of a more advanced nature. It includes a thorough development of Galois theory, a chapter on modules, and short surveys of additional algebraic topics designed to whet the reader's appetite for further study. This book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course.

Abstract Algebra

Abstract Algebra
  • Author : Joseph H. Silverman
  • Publisher : American Mathematical Society
  • Release Date : 2022-03-07
  • Total pages : 567
  • ISBN : 1470468603
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Summary : This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into ...

Morita Equivalence and Continuous trace C algebras

Morita Equivalence and Continuous trace C  algebras
  • Author : Iain Raeburn,Dana P. Williams
  • Publisher : American Mathematical Soc.
  • Release Date : 1998
  • Total pages : 327
  • ISBN : 1470468603
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Summary : In this text, the authors give a modern treatment of the classification of continuous-trace $C^*$-algebras up to Morita equivalence. This includes a detailed discussion of Morita equivalence of $C^*$-algebras, a review of the necessary sheaf cohomology, and an introduction to recent developments in the area. The book is ...

A Taste of Jordan Algebras

A Taste of Jordan Algebras
  • Author : Kevin McCrimmon
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-05-29
  • Total pages : 563
  • ISBN : 1470468603
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Summary : This book describes the history of Jordan algebras and describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. Jordan algebras crop up in many surprising settings, and find application to a variety of mathematical areas. No knowledge is required beyond ...

Algebra I

Algebra I
  • Author : Sara Freeman
  • Publisher : Milliken Publishing Company
  • Release Date : 2002-09-01
  • Total pages : 48
  • ISBN : 1470468603
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Summary : Motivate Your Students! This easy-to-use workbook is chock full of stimulating activities that will jumpstart your students' interest in algebra while reinforcing the major algebra concepts. A variety of puzzles, mazes, and games will challenge students to think creatively as they sharpen their algebra skills. A special assessment section is ...

Algebra I eBook

Algebra I  eBook
  • Author : Sara Freeman
  • Publisher : Lorenz Educational Press
  • Release Date : 2002-09-01
  • Total pages : 48
  • ISBN : 1470468603
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Summary : Give your students all the essential tools for a solid introduction to algebra! The skills required to master basic algebra are introduced in Algebra I and developed further in the more advanced Algebra II. A variety of rules, theorems, and processes are presented along with easy-to-follow examples. Games and puzzles ...

Algebra 1

Algebra 1
  • Author : Sara Freeman
  • Publisher : Lorenz Educational Press
  • Release Date : 2002-09-01
  • Total pages : 48
  • ISBN : 1470468603
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Summary : Give your students all the essential tools for a solid introduction to algebra! The skills required to master basic algebra are introduced in Algebra I and developed further in the more advanced Algebra II. A variety of rules, theorems, and processes are presented along with easy-to-follow examples. Games and puzzles ...

Abstract Algebra

Abstract Algebra
  • Author : Jonathan K. Hodge,Steven Schlicker,Ted Sundstrom
  • Publisher : CRC Press
  • Release Date : 2013-12-21
  • Total pages : 595
  • ISBN : 1470468603
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Summary : To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. The book can be used ...

Post Modern Algebra

Post Modern Algebra
  • Author : Jonathan D. H. Smith,Anna B. Romanowska
  • Publisher : John Wiley & Sons
  • Release Date : 2011-09-30
  • Total pages : 384
  • ISBN : 1470468603
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Summary : 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 ...

Future Curricular Trends in School Algebra And Geometry

Future Curricular Trends in School Algebra And Geometry
  • Author : Zalman Usiskin,Kathleen Andersen,Nicole Zotto
  • Publisher : IAP
  • Release Date : 2010-06-01
  • Total pages : 347
  • ISBN : 1470468603
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Summary : This volume contains papers from the Second International Curriculum Conference sponsored by the Center for the Study of Mathematics Curriculum (CSMC). The intended audience includes policy makers, curriculum developers, researchers, teachers, teacher trainers, and anyone else interested in school mathematics curricula....

Learning Modern Algebra

Learning Modern Algebra
  • Author : Al Cuoco,Joseph Rotman
  • Publisher : MAA
  • Release Date : 2013
  • Total pages : 459
  • ISBN : 1470468603
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Summary : Learning Modern Algebra aligns with the CBMS Mathematical Education of Teachers II recommendations, in both content and practice. It emphasizes rings and fields over groups, and it makes explicit connections between the ideas of abstract algebra and the mathematics used by high school teachers. It provides opportunities for prospective and ...

Applied Abstract Algebra

Applied Abstract Algebra
  • Author : David Joyner,Richard Kreminski,Joann Turisco
  • Publisher : JHU Press
  • Release Date : 2004-06
  • Total pages : 329
  • ISBN : 1470468603
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Summary : With the advent of computers that can handle symbolic manipulations, abstract algebra can now be applied. In this book David Joyner, Richard Kreminski, and Joann Turisco introduce a wide range of abstract algebra with relevant and interesting applications, from error-correcting codes to cryptography to the group theory of Rubik's cube. ...

33 Steps to Algebra Readiness

33 Steps to Algebra Readiness
  • Author : Fred Pyrczak
  • Publisher : Walch Publishing
  • Release Date : 1995
  • Total pages : 90
  • ISBN : 1470468603
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Summary : A ssesses student readiness with 31 diagnostic tests Promotes understanding of algebraic concepts with extensive practice sheets...

Linear Algebra and Geometry

Linear Algebra and Geometry
  • Author : Al Cuoco,Kevin Waterman,Bowen Kerins,Elena Kaczorowski,Michelle Manes
  • Publisher : American Mathematical Soc.
  • Release Date : 2019-04-10
  • Total pages : 557
  • ISBN : 1470468603
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Summary : Linear Algebra and Geometry is organized around carefully sequenced problems that help students build both the tools and the habits that provide a solid basis for further study in mathematics. Requiring only high school algebra, it uses elementary geometry to build the beautiful edifice of results and methods that make ...

Invitation to Nonlinear Algebra

Invitation to Nonlinear Algebra
  • Author : Mateusz Michałek,Bernd Sturmfels
  • Publisher : American Mathematical Soc.
  • Release Date : 2021-03-22
  • Total pages : 226
  • ISBN : 1470468603
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Summary : Nonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimization. The book offers an invitation to this broad and fast-developing area. It is not an extensive encyclopedia of known ...

The Algebra of Warfare Welfare

The Algebra of Warfare Welfare
  • Author : Irfan Ahmad,Pralay Kanungo
  • Publisher : Oxford University Press
  • Release Date : 2018-12-24
  • Total pages : 412
  • ISBN : 1470468603
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Summary : Electoral democracy combines the ideas and practices of warfare and welfare, where both work in tandem as near synonyms. India’s robust electoral democracy exemplifies this combination in diverse forms. Critically analysing the 2014 Parliamentary elections beyond the seduction of immediacy and bare cold statistics, this book puts human subjectivity at ...