A Concrete Approach To Abstract Algebrastudent Solutions Manual E Only
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| Author | : Jeffrey Bergen |
| Publisher | : Academic Press |
| Total Pages | : 115 |
| Release | : 2010-04-15 |
| Genre | : Mathematics |
| ISBN | : 0123846811 |
A Concrete Approach to Abstract Algebra begins with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familar objects and then uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students. The text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics wich arise in courses in algebra, geometry, trigonometry, precalculus and calculus. The final four chapters present the more theoretical material needed for graduate study.
| Author | : Charles C Pinter |
| Publisher | : Courier Corporation |
| Total Pages | : 402 |
| Release | : 2010-01-14 |
| Genre | : Mathematics |
| ISBN | : 0486474178 |
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
| Author | : Neil Thomson |
| Publisher | : |
| Total Pages | : 92 |
| Release | : 2004-10 |
| Genre | : |
| ISBN | : 9780534420420 |
| Author | : R. R. Bowker LLC |
| Publisher | : |
| Total Pages | : 868 |
| Release | : 1983 |
| Genre | : Education |
| ISBN | : 9780835216005 |
| Author | : Thomas Judson |
| Publisher | : Orthogonal Publishing L3c |
| Total Pages | : 0 |
| Release | : 2023-08-11 |
| Genre | : |
| ISBN | : 9781944325190 |
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.
| Author | : Stephen Boyd |
| Publisher | : Cambridge University Press |
| Total Pages | : 477 |
| Release | : 2018-06-07 |
| Genre | : Business & Economics |
| ISBN | : 1316518965 |
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
| Author | : Lindsay Childs |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 348 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1468400657 |
This book is written as an introduction to higher algebra for students with a background of a year of calculus. The book developed out of a set of notes for a sophomore-junior level course at the State University of New York at Albany entitled Classical Algebra. In the 1950s and before, it was customary for the first course in algebra to be a course in the theory of equations, consisting of a study of polynomials over the complex, real, and rational numbers, and, to a lesser extent, linear algebra from the point of view of systems of equations. Abstract algebra, that is, the study of groups, rings, and fields, usually followed such a course. In recent years the theory of equations course has disappeared. Without it, students entering abstract algebra courses tend to lack the experience in the algebraic theory of the basic classical examples of the integers and polynomials necessary for understanding, and more importantly, for ap preciating the formalism. To meet this problem, several texts have recently appeared introducing algebra through number theory.
| Author | : Saul Stahl |
| Publisher | : John Wiley & Sons |
| Total Pages | : 464 |
| Release | : 2013-09-30 |
| Genre | : Mathematics |
| ISBN | : 1118552032 |
Praise for the First Edition "Stahl offers the solvability of equations from the historicalpoint of view...one of the best books available to support aone-semester introduction to abstract algebra." —CHOICE Introductory Modern Algebra: A Historical Approach, SecondEdition presents the evolution of algebra and provides readerswith the opportunity to view modern algebra as a consistentmovement from concrete problems to abstract principles. With a fewpertinent excerpts from the writings of some of the greatestmathematicians, the Second Edition uniquely facilitates theunderstanding of pivotal algebraic ideas. The author provides a clear, precise, and accessibleintroduction to modern algebra and also helps to develop a moreimmediate and well-grounded understanding of how equations lead topermutation groups and what those groups can inform us about suchdiverse items as multivariate functions and the 15-puzzle.Featuring new sections on topics such as group homomorphisms, theRSA algorithm, complex conjugation, the factorization of realpolynomials, and the fundamental theorem of algebra, the SecondEdition also includes: An in-depth explanation of the principles and practices ofmodern algebra in terms of the historical development from theRenaissance solution of the cubic equation to Dedekind'sideals Historical discussions integrated with the development ofmodern and abstract algebra in addition to many new explicitstatements of theorems, definitions, and terminology A new appendix on logic and proofs, sets, functions, andequivalence relations Over 1,000 new examples and multi-level exercises at the end ofeach section and chapter as well as updated chapter summaries Introductory Modern Algebra: A Historical Approach, SecondEdition is an excellent textbook for upper-undergraduatecourses in modern and abstract algebra.
| Author | : Nathan Carter |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 295 |
| Release | : 2021-06-08 |
| Genre | : Education |
| ISBN | : 1470464330 |
Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.
| Author | : Sheldon Axler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 276 |
| Release | : 1997-07-18 |
| Genre | : Mathematics |
| ISBN | : 9780387982595 |
This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.
