Abstract Algebra and Solution by Radicals

Abstract Algebra and Solution by Radicals Author John Edward Maxfield
ISBN-10 9780486477237
Year 2010-03-01
Pages 209
Language en
Publisher Courier Corporation
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The American Mathematical Monthly recommended this advanced undergraduate-level text for teacher education. It starts with groups, rings, fields, and polynomials and advances to Galois theory, radicals and roots of unity, and solution by radicals. Numerous examples, illustrations, commentaries, and exercises enhance the text, along with 13 appendices. 1971 edition.

Foundations of Galois Theory

Foundations of Galois Theory Author M.M. Postnikov
ISBN-10 9781483156477
Year 2014-07-10
Pages 122
Language en
Publisher Elsevier
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Foundations of Galois Theory is an introduction to group theory, field theory, and the basic concepts of abstract algebra. The text is divided into two parts. Part I presents the elements of Galois Theory, in which chapters are devoted to the presentation of the elements of field theory, facts from the theory of groups, and the applications of Galois Theory. Part II focuses on the development of general Galois Theory and its use in the solution of equations by radicals. Equations that are solvable by radicals; the construction of equations solvable by radicals; and the unsolvability by radicals of the general equation of degree n ? 5 are discussed as well. Mathematicians, physicists, researchers, and students of mathematics will find this book highly useful.

Elements of Abstract Algebra

Elements of Abstract Algebra Author Allan Clark
ISBN-10 9780486140353
Year 2012-07-06
Pages 224
Language en
Publisher Courier Corporation
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Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.

A Book of Abstract Algebra

A Book of Abstract Algebra Author Charles C Pinter
ISBN-10 9780486134796
Year 2012-05-11
Pages 400
Language en
Publisher Courier Corporation
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Accessible but rigorous, this outstanding text encompasses all of elementary abstract algebra's standard topics. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. 1990 edition.

A Concrete Approach To Abstract Algebra Student Solutions Manual e only

A Concrete Approach To Abstract Algebra Student Solutions Manual  e only Author Jeffrey Bergen
ISBN-10 0123846811
Year 2010-04-15
Pages 300
Language en
Publisher Academic Press
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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.

Fields and Galois Theory

Fields and Galois Theory Author John M. Howie
ISBN-10 9781846281815
Year 2007-09-05
Pages 226
Language en
Publisher Springer Science & Business Media
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A modern and student-friendly introduction to this popular subject: it takes a more "natural" approach and develops the theory at a gentle pace with an emphasis on clear explanations Features plenty of worked examples and exercises, complete with full solutions, to encourage independent study Previous books by Howie in the SUMS series have attracted excellent reviews

An Introduction to Differential Geometry

An Introduction to Differential Geometry Author T. J. Willmore
ISBN-10 9780486282107
Year 2013-05-13
Pages 336
Language en
Publisher Courier Corporation
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A solid introduction to the methods of differential geometry and tensor calculus, this volume is suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering. Rather than a comprehensive account, it offers an introduction to the essential ideas and methods of differential geometry. Part 1 begins by employing vector methods to explore the classical theory of curves and surfaces. An introduction to the differential geometry of surfaces in the large provides students with ideas and techniques involved in global research. Part 2 introduces the concept of a tensor, first in algebra, then in calculus. It covers the basic theory of the absolute calculus and the fundamentals of Riemannian geometry. Worked examples and exercises appear throughout the text.

Atomic Physics 8th Edition

Atomic Physics  8th Edition Author Max Born
ISBN-10 9780486318585
Year 2013-04-22
Pages 544
Language en
Publisher Courier Corporation
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Nobel Laureate's lucid treatment of kinetic theory of gases, elementary particles, nuclear atom, wave-corpuscles, atomic structure and spectral lines, much more. Over 40 appendices, bibliography.

Abstract Algebra

Abstract Algebra Author John A. Beachy
ISBN-10 9781478607991
Year 2006-01-05
Pages 484
Language en
Publisher Waveland Press
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Highly regarded by instructors in past editions for its sequencing of topics as well as its concrete approach, slightly slower beginning pace, and extensive set of exercises, the latest edition of Abstract Algebra extends the thrust of the widely used earlier editions as it introduces modern abstract concepts only after a careful study of important examples. Beachy and Blairs clear narrative presentation responds to the needs of inexperienced students who stumble over proof writing, who understand definitions and theorems but cannot do the problems, and who want more examples that tie into their previous experience. The authors introduce chapters by indicating why the material is important and, at the same time, relating the new material to things from the students background and linking the subject matter of the chapter to the broader picture. Instructors will find the latest edition pitched at a suitable level of difficulty and will appreciate its gradual increase in the level of sophistication as the student progresses through the book. Rather than inserting superficial applications at the expense of important mathematical concepts, the Beachy and Blair solid, well-organized treatment motivates the subject with concrete problems from areas that students have previously encountered, namely, the integers and polynomials over the real numbers. Supplementary material for instructors and students available on the books Web site: www.math.niu.edu/~beachy/abstract_algebra/

Elements of Number Theory

Elements of Number Theory Author John Stillwell
ISBN-10 0387955879
Year 2002-12-13
Pages 256
Language en
Publisher Springer Science & Business Media
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Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.

Abstract Algebra

Abstract Algebra Author Celine Carstensen
ISBN-10 9783110250091
Year 2011-02-28
Pages 377
Language en
Publisher Walter de Gruyter
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A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations; also contains topics that cannot be found elsewhere, and also offers a chapter on cryptography. End of chapter problems help readers with accessing the subjects. This work is co-published with the Heldermann Verlag, and within Heldermann's Sigma Series in Mathematics.

Introduction to Abstract Algebra

Introduction to Abstract Algebra Author Benjamin Fine
ISBN-10 9781421411767
Year 2014-05-29
Pages 584
Language en
Publisher JHU Press
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Presents a systematic approach to one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, this title begins with familiar topics such as rings, numbers, and groups before introducing more difficult concepts.

Introduction to Linear Algebra

Introduction to Linear Algebra Author Marvin Marcus
ISBN-10 0486656950
Year 1965
Pages 261
Language en
Publisher Courier Corporation
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Rigorous, self-contained introduction at undergraduate level covers vector spaces and linear transformations, linear equations and determinants, characteristic roots. Includes 16 sets of true-false quizzes and exercises — with worked-out solutions — a complete theory of permutations and much more.

Abstract Algebra

Abstract Algebra Author Jonathan K. Hodge
ISBN-10 9781466567061
Year 2013-12-21
Pages 595
Language en
Publisher CRC Press
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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 in both rings-first and groups-first abstract algebra courses. Numerous activities, examples, and exercises illustrate the definitions, theorems, and concepts. Through this engaging learning process, students discover new ideas and develop the necessary communication skills and rigor to understand and apply concepts from abstract algebra. In addition to the activities and exercises, each chapter includes a short discussion of the connections among topics in ring theory and group theory. These discussions help students see the relationships between the two main types of algebraic objects studied throughout the text. Encouraging students to do mathematics and be more than passive learners, this text shows students that the way mathematics is developed is often different than how it is presented; that definitions, theorems, and proofs do not simply appear fully formed in the minds of mathematicians; that mathematical ideas are highly interconnected; and that even in a field like abstract algebra, there is a considerable amount of intuition to be found.

An Investigation of the Laws of Thought

An Investigation of the Laws of Thought Author George Boole
ISBN-10 9780486157504
Year 2012-07-26
Pages 424
Language en
Publisher Courier Corporation
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"A classic of pure mathematics and symbolic logic." — Scientific American. A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.