
Author 
John Edward Maxfield 
ISBN10 
9780486477237 
Year 
20100301 
Pages 
209 
Language 
en 
Publisher 
Courier Corporation 
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The American Mathematical Monthly recommended this advanced undergraduatelevel 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.

Author 
M.M. Postnikov 
ISBN10 
9781483156477 
Year 
20140710 
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.

Author 
Allan Clark 
ISBN10 
9780486140353 
Year 
20120706 
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.

Author 
Charles C Pinter 
ISBN10 
9780486134796 
Year 
20120511 
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 easytoread treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. 1990 edition.

Author 
Jeffrey Bergen 
ISBN10 
0123846811 
Year 
20100415 
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.

Author 
John M. Howie 
ISBN10 
9781846281815 
Year 
20070905 
Pages 
226 
Language 
en 
Publisher 
Springer Science & Business Media 
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A modern and studentfriendly 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

Author 
T. J. Willmore 
ISBN10 
9780486282107 
Year 
20130513 
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.

Author 
Max Born 
ISBN10 
9780486318585 
Year 
20130422 
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, wavecorpuscles, atomic structure and spectral lines, much more. Over 40 appendices, bibliography.

Author 
John A. Beachy 
ISBN10 
9781478607991 
Year 
20060105 
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, wellorganized 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/

Author 
John Stillwell 
ISBN10 
0387955879 
Year 
20021213 
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 onesemester 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.

Author 
Celine Carstensen 
ISBN10 
9783110250091 
Year 
20110228 
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 copublished with the Heldermann Verlag, and within Heldermann's Sigma Series in Mathematics.

Author 
Benjamin Fine 
ISBN10 
9781421411767 
Year 
20140529 
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.

Author 
Marvin Marcus 
ISBN10 
0486656950 
Year 
1965 
Pages 
261 
Language 
en 
Publisher 
Courier Corporation 
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Rigorous, selfcontained introduction at undergraduate level covers vector spaces and linear transformations, linear equations and determinants, characteristic roots. Includes 16 sets of truefalse quizzes and exercises — with workedout solutions — a complete theory of permutations and much more.

Author 
Jonathan K. Hodge 
ISBN10 
9781466567061 
Year 
20131221 
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 InquiryBased 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 ringsfirst and groupsfirst 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.

Author 
George Boole 
ISBN10 
9780486157504 
Year 
20120726 
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.