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Author : Steve Warner
Publisher :
ISBN 13 : 9780999811788
Total Pages : 346 pages
Book Rating : 4.8/5 (117 download)
Download or read book Abstract Algebra for Beginners written by Steve Warner and published by . This book was released on 2019-07-28 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book [provides] a basic but rigorous introduction to abstract algebra." --
Author : Robert B. Ash
Publisher : Courier Corporation
ISBN 13 : 0486453561
Total Pages : 434 pages
Book Rating : 4.4/5 (864 download)
Download or read book Basic Abstract Algebra written by Robert B. Ash and published by Courier Corporation. This book was released on 2007-01-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of Mathematics at the University of Illinois, focuses on intuitive thinking. He also conveys the intrinsic beauty of abstract algebra while keeping the proofs as brief and clear as possible. The early chapters provide students with background by investigating the basic properties of groups, rings, fields, and modules. Later chapters examine the relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of algebraic number theory, algebraic geometry, noncommutative algebra, and homological algebra, including categories and functors. An extensive supplement to the text delves much further into homological algebra than most introductory texts, offering applications-oriented results. Solutions to all problems appear in the text.
Author : Steve Warner
Publisher :
ISBN 13 : 9781951619015
Total Pages : 178 pages
Book Rating : 4.6/5 (19 download)
Download or read book Abstract Algebra for Beginners - Solution Guide written by Steve Warner and published by . This book was released on 2019-11-02 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract Algebra for Beginners - Solution GuideThis book contains complete solutions to the problems in the 16 Problem Sets in Abstract Algebra for Beginners. Note that this book references examples and theorems from Abstract Algebra for Beginners. Therefore, it is strongly suggested that you purchase a copy of that book before purchasing this one.
Author : P. B. Bhattacharya
Publisher : Cambridge University Press
ISBN 13 : 9780521466295
Total Pages : 512 pages
Book Rating : 4.4/5 (662 download)
Download or read book Basic Abstract Algebra written by P. B. Bhattacharya and published by Cambridge University Press. This book was released on 1994-11-25 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.
Author : Ed Dubinsky
Publisher : Springer Science & Business Media
ISBN 13 : 1461226023
Total Pages : 264 pages
Book Rating : 4.4/5 (612 download)
Download or read book Learning Abstract Algebra with ISETL written by Ed Dubinsky and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most students in abstract algebra classes have great difficulty making sense of what the instructor is saying. Moreover, this seems to remain true almost independently of the quality of the lecture. This book is based on the constructivist belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities which will establish an experiential base for any future verbal explanation. No less, they need to have the opportunity to reflect on their activities. This approach is based on extensive theoretical and empirical studies as well as on the substantial experience of the authors in teaching astract algebra. The main source of activities in this course is computer constructions, specifically, small programs written in the mathlike programming language ISETL; the main tool for reflections is work in teams of 2-4 students, where the activities are discussed and debated. Because of the similarity of ISETL expressions to standard written mathematics, there is very little programming overhead: learning to program is inseparable from learning the mathematics. Each topic is first introduced through computer activities, which are then followed by a text section and exercises. This text section is written in an informed, discusive style, closely relating definitions and proofs to the constructions in the activities. Notions such as cosets and quotient groups become much more meaningful to the students than when they are preseted in a lecture.
Author : Jonathan D. H. Smith
Publisher : CRC Press
ISBN 13 : 9781420063721
Total Pages : 344 pages
Book Rating : 4.0/5 (637 download)
Download or read book Introduction to Abstract Algebra written by Jonathan D. H. Smith and published by CRC Press. This book was released on 2016-04-19 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles. A Quick Introduction to Algebra The first three chapters of the book show how functional composition, cycle notation for permutations, and matrix notation for linear functions provide techniques for practical computation. The author also uses equivalence relations to introduce rational numbers and modular arithmetic as well as to present the first isomorphism theorem at the set level. The Basics of Abstract Algebra for a First-Semester Course Subsequent chapters cover orthogonal groups, stochastic matrices, Lagrange’s theorem, and groups of units of monoids. The text also deals with homomorphisms, which lead to Cayley’s theorem of reducing abstract groups to concrete groups of permutations. It then explores rings, integral domains, and fields. Advanced Topics for a Second-Semester Course The final, mostly self-contained chapters delve deeper into the theory of rings, fields, and groups. They discuss modules (such as vector spaces and abelian groups), group theory, and quasigroups.
Author : Rajendra Kumar Sharma
Publisher : Pearson Education India
ISBN 13 : 8131797627
Total Pages : 781 pages
Book Rating : 4.1/5 (317 download)
Download or read book Algebra I: A Basic Course in Abstract Algebra written by Rajendra Kumar Sharma and published by Pearson Education India. This book was released on 2011 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra is a compulsory paper offered to the undergraduate students of Mathematics. The majority of universities offer the subject as a two /three year paper or in two/three semesters. Algebra I: A Basic Course in Abstract Algebra covers the topic required for a basic course.
Author : Minking Eie
Publisher : World Scientific
ISBN 13 : 981427190X
Total Pages : 372 pages
Book Rating : 4.8/5 (142 download)
Download or read book A Course on Abstract Algebra written by Minking Eie and published by World Scientific. This book was released on 2010 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the author's lecture notes at the Department of Mathematics, National Chung Cheng University of Taiwan, it begins with a description of the algebraic structures of the ring and field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange's Theorem and Sylow's Theorems follow as applications of group theory. Ring theory forms the second part of abstract algebra, with the ring of polynomials and the matrix ring as basic examples. The general theory of ideals as well as maximal ideals in the rings of polynomials over the rational numbers are also discussed. The final part of the book focuses on field theory, field extensions and then Galois theory to illustrate the correspondence between the Galois groups and field extensions. This textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra.
Author : Mohammed Hichem Mortad
Publisher : World Scientific
ISBN 13 : 9811252122
Total Pages : 210 pages
Book Rating : 4.8/5 (112 download)
Download or read book Basic Abstract Algebra: Exercises And Solutions written by Mohammed Hichem Mortad and published by World Scientific. This book was released on 2022-02-10 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is mainly intended for first-year University students who undertake a basic abstract algebra course, as well as instructors. It contains the basic notions of abstract algebra through solved exercises as well as a 'True or False' section in each chapter. Each chapter also contains an essential background section, which makes the book easier to use.
Author : Nathan Jacobson
Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.4/5 (91 download)
Download or read book Basic Algebra written by Nathan Jacobson and published by . This book was released on 1985 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of a book designed to introduce mathematics students to abstract algebra.
Author : Robert B. Ash
Publisher : Courier Corporation
ISBN 13 : 0486318117
Total Pages : 432 pages
Book Rating : 4.4/5 (863 download)
Download or read book Basic Abstract Algebra written by Robert B. Ash and published by Courier Corporation. This book was released on 2013-06-17 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.
Author : Paul Bland
Publisher : W. H. Freeman
ISBN 13 : 9780716742296
Total Pages : 640 pages
Book Rating : 4.7/5 (422 download)
Download or read book The Basics of Abstract Algebra written by Paul Bland and published by W. H. Freeman. This book was released on 2001-08-01 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
ISBN 13 : 0817645292
Total Pages : 735 pages
Book Rating : 4.8/5 (176 download)
Download or read book Basic Algebra written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2007-07-28 with total page 735 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. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.
Author : Surender Kumar Jain
Publisher :
ISBN 13 : 9781139648653
Total Pages : 509 pages
Book Rating : 4.6/5 (486 download)
Download or read book Basic Abstract Algebra written by Surender Kumar Jain and published by . This book was released on 2014-05-14 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.
Author : Thomas Q. Sibley
Publisher : American Mathematical Soc.
ISBN 13 : 1470460300
Total Pages : 478 pages
Book Rating : 4.4/5 (74 download)
Download or read book Thinking Algebraically: An Introduction to Abstract Algebra written by Thomas Q. Sibley and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra course.
Author : F. M. Hall
Publisher : Cambridge University Press
ISBN 13 : 9780521084840
Total Pages : 324 pages
Book Rating : 4.0/5 (848 download)
Download or read book An Introduction to Abstract Algebra written by F. M. Hall and published by Cambridge University Press. This book was released on 1972-04-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume course on abstract algebra provides a broad introduction to the subject for those with no previous knowledge of it but who are well grounded in ordinary algebraic techniques. It starts from the beginning, leading up to fresh ideas gradually and in a fairly elementary manner, and moving from discussion of particular (concrete) cases to abstract ideas and methods. It thus avoids the common practice of presenting the reader with a mass of ideas at the beginning, which he is only later able to relate to his previous mathematical experience. The work contains many concrete examples of algebraic structures. Each chapter contains a few worked examples for the student - these are divided into straightforward and more advanced categories. Answers are provided. From general sets, Volume 1 leads on to discuss special sets of the integers, other number sets, residues, polynomials and vectors. A chapter on mappings is followed by a detailed study of the fundamental laws of algebra, and an account of the theory of groups which takes the idea of subgroups as far as Langrange's theorem. Some improvements in exposition found desirable by users of the book have been incorporated into the second edition and the opportunity has also been taken to correct a number of errors.
Author : Nathan Jacobson
Publisher :
ISBN 13 :
Total Pages : 217 pages
Book Rating : 4.:/5 (75 download)
Download or read book Lectures in Abstract Algebra written by Nathan Jacobson and published by . This book was released on 1958 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:
