Applied modern algebra by Larry Dornhoff

Cover of: Applied modern algebra | Larry Dornhoff

Published by Macmillan in New York .

Written in English

Read online


  • Algebra, Abstract

Edition Notes

Book details

StatementLarry L. Dornhoff, Franz E. Hohn.
ContributionsHohn, Franz Edward, 1915-1977, joint author.
LC ClassificationsQA162 .D67
The Physical Object
Paginationxi, 500 p. :
Number of Pages500
ID Numbers
Open LibraryOL4896740M
ISBN 100023299800
LC Control Number76030825

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Applied Modern Algebra by Larry L. Dornhoff (Author), Franz E. Hohn (Author) ISBN Cited by: Modern Applied Algebra Corrected Edition by Birkhoff, Garrett, (Author) ISBN Format: Textbook Binding.

Accessible to junior and senior undergraduate students, this survey contains many examples, solved exercises, sets of problems, and parts of abstract algebra of use in many other areas of discrete mathematics. Although this is a mathematics book, the authors have made great efforts to address the needs of users employing the techniques by: 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 by: 8.

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junior level. This book therefore constitutes a one-year course in modern algebra for those students who have been exposed to some linear algebra. It contains the essentials of a first course in modern algebra together with a wide variety of applications. Modern algebra is usually taught from the point of view of its intrinsic inter.

Applied Abstract Algebra. This is a survey, accessible to advanced undergraduates, of some parts of abstract algebra that are of use in many other areas of discrete mathematics. The treatment is mathematical, but the authors have made great efforts to address the needs of those who will be using the techniques that are being discussed.3/5(2).

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Only valid for books with an ebook version. The book covers less mathematics than a typical text on applied linear algebra. We use only one theoretical concept from linear algebra, linear independence, and only one computational tool, the QR factorization; our approach to most applica- tions relies on only one method, least squares (or.

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Algebra became more general and more abstract in the s as more algebraic File Size: 1MB. Introduction to Modern Algebra This lecture note discusses unique factorization and the modern theory of rings and their ideals, emphasizing Euclidean domains. Books shelved as abstract-algebra: Abstract Algebra by David S.

Dummit, A Book of Abstract Algebra by Charles C. Pinter, Algebra by Michael Artin, Algebr. In recent years there have emerged courses and texts on discrete mathe­ matics and applied algebra.

The present text is meant to add to what is available, by focusing on three subject areas. The contents of this book can be described as dealing with the following major themes: Applications of Boolean algebras (Chapters 1 and 2). COVID Resources.

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Introduction to Abstract Algebra by Samir Siksek. This book covers the following topics: Algebraic Reorientation, Matrices, Groups, First Theorems, Orders and Lagrange s Theorem, Subgroups, Cyclic Groups and Cyclic Subgroups, Isomorphisms, Cosets, Quotient Groups, Symmetric Groups, Rings and.

Every time I’ve taught the course (undergraduate), I’ve been saddled with someone else’s choice of text. And they’ve generally been isomorphic (the same) and not particularly inspiring. So I’m going with speculation here - in terms of what I think.

Accessible to junior and senior undergraduate students, this survey contains many examples, solved exercises, sets of problems, and parts of abstract algebra of use in many other areas of discrete mathematics.

Although this is a mathematics book, the authors have made great efforts to address the needs of users employing the techniques discussed.

Fraleigh's " A First Course in Abstract Algebra, 7th Edition " is a good book for self study. It is easy and good for the beginners, and it has a complete solution manual written by the author. improve this answer. answered Aug 1 '11 at Try Contemporary Abstract Algebra. This one, I think, has lots of nice examples.

The following is from. Derivations of Applied Mathematics is a book of applied mathematical proofs. This book covers the following topics in applied mathematics: Classical algebra and geometry, Trigonometry, derivative, The complex exponential, Primes, roots and averages, Taylor series, Integration techniques, Matrices and vectors, Transforms and special functions.

College Algebra by Avinash Sathaye. This is a set of lecture notes on introductory school algebra written for middle school teachers. Topics covered includes: Symbolic Expressions, Transcription of Verbal Information into Symbolic Language, Linear Equations in One Variable, Linear Equations in Two Variables and Their Graphs, Simultaneous Linear Equations, Functions and Their Graphs, Linear.

Advice. Thisbook’semphasisonmotivationanddevelopment,anditsavailability, makeitwidelyusedforself-study. Ifyouareanindependentstudentthengood. Linear Algebra and Its Applications 5th Edition by David C. Lay, Steven R. Lay, Judi J. McDonald Buy from Amazon (My personal pick for a first course) This is a no-frills textbook for a one-semester course in linear algebra that focuses very heavily on algorithms and applications.

Applied modern algebra. New York: Macmillan, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Larry L.

It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines.

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Abstract Algebra: The Basic Graduate Year by Robert B. Ash, University of Illinois. Fundamentals of Linear Algebra. This textbook is meant to be a mathematically complete and rigorous introduction to abstract linear algebra for undergraduates, possibly even first year students, specializing in mathematics.

Author tried very hard to emphasize the fascinating and important interplay between algebra and geometry. applications of abstract algebra. A basic knowledge of set theory, mathe-matical induction, equivalence relations, and matrices is a must.

Even more important is the ability to read and understand mathematical proofs. In this chapter we will outline the background needed for a course in abstract algebra. A Short Note on Proofs. Introduction to Linear Algebra, Fifth Edition () Publication May Gilbert Strang [email protected] Wellesley-Cambridge Press and SIAM (for ordering information) Book Order Form.

Introduction to Linear Algebra, Indian edition, will be published by Wellesley Publishers. Review of the 5th edition by Professor Farenick for the International Linear Algebra Society.

Applied Abstract Algebra with MapleTM and MATLAB® provides an in-depth introduction to real-world abstract algebraic problems. This popular textbook covers a variety of topics including block designs, coding theory, cryptography, and counting techniques, including Pólya's and Burnside's theorems.

primarily—a formalism. My pledge has strongly influenced the shape and style of this book. While giving due emphasis to the deductive aspect of modern algebra, I have endeavored here to present modern algebra as a lively branch of mathematics, having considerable imaginative appeal and resting on some firm, clear, and familiar intuitions.

A2A, thanks. Since we are talking about graduate level, I will assume we are talking about something like groups, rings, ideals, etc. Assuming one has a solid background in linear algebra and group theory (if not, I recommend P.

Halmos’s books on. Artin's book is a somewhat daunting for an introduction to abstract algebra (I used it for my first course), but if you really challenge yourself and work through the problems you will learn a lot.

He has very non-standard approach that's heavy in linear algebra and that's part of the beauty of his book. But as a beginner, I initially hated it. Applied and Computational Linear Algebra: A First Course. To Eileen, my wife for the last forty-three years.

My thanks to David Einstein, who read most of an earlier version of this book and made many helpful suggestions. Contents Preface xxiii I Preliminaries 1 II Algebra 59 5 More Matrix Theory 61File Size: 2MB.

In he and Mac Lane published A Survey of Modern Algebra, the second undergraduate textbook in English on the subject (Cyrus Colton MacDuffee's An Introduction to Abstract Algebra was published in ). Mac Lane and Birkhoff's Algebra () is a more advanced text on abstract : Mathematics. Additional Physical Format: Online version: Dornhoff, Larry.

Notes on applied modern algebra. Champaign, Ill.: Stipes Pub. Co., (OCoLC) Modern algebra is sometimes called algebraic structures or abstract algebra, or merely, in the context of advanced mathematics, algebra.

Although the name may suggest just a new way to present the algebra that precedes calculus, it is in fact much broader and deeper than that. Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra.

Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more.

Over 1, exercises. edition. Modern applied algebra. New York, McGraw-Hill [] (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Garrett Birkhoff; Thomas C. The purpose of this book is to convey to graduate students or to final-year undergraduate students the fact that the abstract algebra encountered pre­ viously in a first algebra course can be used in many areas of applied mathematics.3/5(2).topics in applied abstract algebra Download topics in applied abstract algebra or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get topics in applied abstract algebra book now. This site is like a library, Use .The book is appropriate as either a text for an applied abstract algebra course or as a supplemental text for a standard course in abstract algebra.

While fully developed, the algebraic theory presented is just what is required for the applications discussed in the book.

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