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BT 34.016 536.562 Td /F1 15.0 Tf [(Abstract Algebra David S Dummit)] TJ ET
BT 34.016 508.023 Td /F1 7.5 Tf [(Recognizing the showing off ways to get this ebook )] TJ ET
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BT 34.016 444.078 Td /F1 7.5 Tf [(You have to favor to in this heavens)] TJ ET
BT 34.016 410.921 Td /F1 7.5 Tf [(Exploratory Galois Theory)] TJ ET
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34.016 409.683 m 120.708 409.683 l S
BT 120.708 410.921 Td /F1 7.5 Tf [( John Swallow 2004-10-11 Combining a concrete perspective with an )] TJ ET
BT 34.016 401.763 Td /F1 7.5 Tf [(exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely )] TJ ET
BT 34.016 392.606 Td /F1 7.5 Tf [(undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex )] TJ ET
BT 34.016 383.448 Td /F1 7.5 Tf [(approximations and assumes of its readers only a first course in abstract algebra. For readers with Maple )] TJ ET
BT 34.016 374.291 Td /F1 7.5 Tf [(or Mathematica, the text introduces tools for hands-on experimentation with finite extensions of the )] TJ ET
BT 34.016 365.133 Td /F1 7.5 Tf [(rational numbers, enabling a familiarity never before available to students of the subject. The text is )] TJ ET
BT 34.016 355.976 Td /F1 7.5 Tf [(appropriate for traditional lecture courses, for seminars, or for self-paced independent study by )] TJ ET
BT 34.016 346.818 Td /F1 7.5 Tf [(undergraduates and graduate students.)] TJ ET
BT 34.016 337.661 Td /F1 7.5 Tf [(Gorenstein Homological Algebra)] TJ ET
BT 141.971 337.661 Td /F1 7.5 Tf [( Alina Iacob 2018-08-06 Gorenstein homological algebra is an important )] TJ ET
BT 34.016 328.503 Td /F1 7.5 Tf [(area of mathematics, with applications in commutative and noncommutative algebra, model category )] TJ ET
BT 34.016 319.346 Td /F1 7.5 Tf [(theory, representation theory, and algebraic geometry. While in classical homological algebra the )] TJ ET
BT 34.016 310.188 Td /F1 7.5 Tf [(existence of the projective, injective, and flat resolutions over arbitrary rings are well known, things are a )] TJ ET
BT 34.016 301.031 Td /F1 7.5 Tf [(little different when it comes to Gorenstein homological algebra. The main open problems in this area )] TJ ET
BT 34.016 291.873 Td /F1 7.5 Tf [(deal with the existence of the Gorenstein injective, Gorenstein projective, and Gorenstein flat resolutions. )] TJ ET
BT 34.016 282.716 Td /F1 7.5 Tf [(Gorenstein Homological Algebra is especially suitable for graduate students interested in homological )] TJ ET
BT 34.016 273.558 Td /F1 7.5 Tf [(algebra and its applications.)] TJ ET
BT 34.016 264.401 Td /F1 7.5 Tf [(Noncommutative Birational Geometry, Representations and Combinatorics)] TJ ET
BT 282.018 264.401 Td /F1 7.5 Tf [( Arkady. Berenstein 2013-05-)] TJ ET
BT 34.016 255.243 Td /F1 7.5 Tf [(01 "This volume contains the proceedings of the AMS Special Session on Noncommutative Birational )] TJ ET
BT 34.016 246.086 Td /F1 7.5 Tf [(Geometry, Representations and Cluster Algebras, held from January 6-7, 2012, in Boston, MA. The )] TJ ET
BT 34.016 236.928 Td /F1 7.5 Tf [(papers deal with various aspects of noncommutative birational geometry and related topics, focusing )] TJ ET
BT 34.016 227.771 Td /F1 7.5 Tf [(mainly on structure and representations of quantum groups and algebras, braided algebras, rational )] TJ ET
BT 34.016 218.613 Td /F1 7.5 Tf [(series in free groups, Poisson brackets on free algebras, and related problems in combinatorics. This )] TJ ET
BT 34.016 209.456 Td /F1 7.5 Tf [(volume is useful for researchers and graduate students in mathematics and mathematical physics who )] TJ ET
BT 34.016 200.298 Td /F1 7.5 Tf [(want to be introduced to different areas of current research in the new area of noncommutative algebra )] TJ ET
BT 34.016 191.141 Td /F1 7.5 Tf [(and geometry."--Publisher's website.)] TJ ET
BT 34.016 181.983 Td /F1 7.5 Tf [(Riemann Surfaces and Algebraic Curves)] TJ ET
BT 169.481 181.983 Td /F1 7.5 Tf [( Renzo Cavalieri 2016-09-26 Hurwitz theory, the study of )] TJ ET
BT 34.016 172.826 Td /F1 7.5 Tf [(analytic functions among Riemann surfaces, is a classical field and active research area in algebraic )] TJ ET
BT 34.016 163.668 Td /F1 7.5 Tf [(geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful )] TJ ET
BT 34.016 154.511 Td /F1 7.5 Tf [(example of the interconnectedness of mathematics. This book introduces students to this increasingly )] TJ ET
BT 34.016 145.353 Td /F1 7.5 Tf [(important field, covering key topics such as manifolds, monodromy representations and the Hurwitz )] TJ ET
BT 34.016 136.196 Td /F1 7.5 Tf [(potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to )] TJ ET
BT 34.016 127.038 Td /F1 7.5 Tf [(provide motivation for the reader. Also included are short essays by guest writers on how they use )] TJ ET
BT 34.016 117.881 Td /F1 7.5 Tf [(Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether )] TJ ET
BT 34.016 108.723 Td /F1 7.5 Tf [(used in a course or as a self-contained reference for graduate students, this book will provide an exciting )] TJ ET
BT 34.016 99.566 Td /F1 7.5 Tf [(glimpse at mathematics beyond the standard university classes.)] TJ ET
BT 34.016 90.408 Td /F1 7.5 Tf [(An Invitation to General Algebra and Universal Constructions)] TJ ET
BT 236.186 90.408 Td /F1 7.5 Tf [( George M. Bergman 2015-02-05 Rich in )] TJ ET
BT 34.016 81.251 Td /F1 7.5 Tf [(examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of )] TJ ET
BT 34.016 72.093 Td /F1 7.5 Tf [(categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-)] TJ ET
BT 34.016 62.936 Td /F1 7.5 Tf [(so-familiar constructions in algebra \(plus two from topology for perspective\), the reader is guided to an )] TJ ET
BT 34.016 53.778 Td /F1 7.5 Tf [(understanding and appreciation of the general concepts and tools unifying these constructions. Topics )] TJ ET
BT 34.016 44.621 Td /F1 7.5 Tf [(include: set theory, lattices, category theory, the formulation of universal constructions in category-)] TJ ET
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BT 34.016 553.938 Td /F1 7.5 Tf [(theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to )] TJ ET
BT 34.016 544.781 Td /F1 7.5 Tf [(the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit )] TJ ET
BT 34.016 535.623 Td /F1 7.5 Tf [(applications of the general theory to diverse areas of algebra, and in some cases point to outstanding )] TJ ET
BT 34.016 526.466 Td /F1 7.5 Tf [(open questions. Graduate students and researchers wishing to gain fluency in important mathematical )] TJ ET
BT 34.016 517.308 Td /F1 7.5 Tf [(constructions will welcome this carefully motivated book.)] TJ ET
BT 34.016 508.151 Td /F1 7.5 Tf [(Analytic Hyperbolic Geometry and Albert Einstein's Special Theory of Relativity)] TJ ET
BT 295.953 508.151 Td /F1 7.5 Tf [( Abraham A. Ungar 2008 )] TJ ET
BT 34.016 498.993 Td /F1 7.5 Tf [(This book presents a powerful way to study Einstein's special theory of relativity and its underlying )] TJ ET
BT 34.016 489.836 Td /F1 7.5 Tf [(hyperbolic geometry in which analogies with classical results form the right tool. It introduces the notion )] TJ ET
BT 34.016 480.678 Td /F1 7.5 Tf [(of vectors into analytic hyperbolic geometry, where they are called gyrovectors. Newtonian velocity )] TJ ET
BT 34.016 471.521 Td /F1 7.5 Tf [(addition is the common vector addition, which is both commutative and associative. The resulting vector )] TJ ET
BT 34.016 462.363 Td /F1 7.5 Tf [(spaces, in turn, form the algebraic setting for the standard model of Euclidean geometry. In full analogy, )] TJ ET
BT 34.016 453.206 Td /F1 7.5 Tf [(Einsteinian velocity addition is a gyrovector addition, which is both gyrocommutative and gyroassociative. )] TJ ET
BT 34.016 444.048 Td /F1 7.5 Tf [(The resulting gyrovector spaces, in turn, form the algebraic setting for the Beltrami–Klein ball model of )] TJ ET
BT 34.016 434.891 Td /F1 7.5 Tf [(the hyperbolic geometry of Bolyai and Lobachevsky. Similarly, M?bius addition gives rise to gyrovector )] TJ ET
BT 34.016 425.733 Td /F1 7.5 Tf [(spaces that form the algebraic setting for the Poincar? ball model of hyperbolic geometry. In full analogy )] TJ ET
BT 34.016 416.576 Td /F1 7.5 Tf [(with classical results, the book presents a novel relativistic interpretation of stellar aberration in terms of )] TJ ET
BT 34.016 407.418 Td /F1 7.5 Tf [(relativistic gyrotrigonometry and gyrovector addition. Furthermore, the book presents, for the first time, )] TJ ET
BT 34.016 398.261 Td /F1 7.5 Tf [(the relativistic center of mass of an isolated system of noninteracting particles that coincided at some )] TJ ET
BT 34.016 389.103 Td /F1 7.5 Tf [(initial time t = 0. The novel relativistic resultant mass of the system, concentrated at the relativistic center )] TJ ET
BT 34.016 379.946 Td /F1 7.5 Tf [(of mass, dictates the validity of the dark matter and the dark energy that were introduced by cosmologists )] TJ ET
BT 34.016 370.788 Td /F1 7.5 Tf [(as ad hoc postulates to explain cosmological observations about missing gravitational force and late-time )] TJ ET
BT 34.016 361.631 Td /F1 7.5 Tf [(cosmic accelerated expansion. The discovery of the relativistic center of mass in this book thus )] TJ ET
BT 34.016 352.473 Td /F1 7.5 Tf [(demonstrates once again the usefulness of the study of Einstein's special theory of relativity in terms of )] TJ ET
BT 34.016 343.316 Td /F1 7.5 Tf [(its underlying analytic hyperbolic geometry.)] TJ ET
BT 34.016 334.158 Td /F1 7.5 Tf [(The British National Bibliography)] TJ ET
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34.016 332.921 m 142.803 332.921 l S
BT 142.803 334.158 Td /F1 7.5 Tf [( Arthur James Wells 2004 )] TJ ET
BT 34.016 325.001 Td /F1 7.5 Tf [(Modular Invariant Theory)] TJ ET
BT 117.378 325.001 Td /F1 7.5 Tf [( H.E.A. Eddy Campbell 2011-01-12 This book covers the modular invariant )] TJ ET
BT 34.016 315.843 Td /F1 7.5 Tf [(theory of finite groups, the case when the characteristic of the field divides the order of the group, a )] TJ ET
BT 34.016 306.686 Td /F1 7.5 Tf [(theory that is more complicated than the study of the classical non-modular case. Largely self-contained, )] TJ ET
BT 34.016 297.528 Td /F1 7.5 Tf [(the book develops the theory from its origins up to modern results. It explores many examples, illustrating )] TJ ET
BT 34.016 288.371 Td /F1 7.5 Tf [(the theory and its contrast with the better understood non-modular setting. It details techniques for the )] TJ ET
BT 34.016 279.213 Td /F1 7.5 Tf [(computation of invariants for many modular representations of finite groups, especially the case of the )] TJ ET
BT 34.016 270.056 Td /F1 7.5 Tf [(cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the )] TJ ET
BT 34.016 260.898 Td /F1 7.5 Tf [(elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is )] TJ ET
BT 34.016 251.741 Td /F1 7.5 Tf [(aimed at both graduate students and researchers—an introduction to many important topics in modern )] TJ ET
BT 34.016 242.583 Td /F1 7.5 Tf [(algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic )] TJ ET
BT 34.016 233.426 Td /F1 7.5 Tf [(geometry for the latter.)] TJ ET
BT 34.016 224.268 Td /F1 7.5 Tf [(Encyclopedia of Mathematics Education)] TJ ET
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34.016 223.031 m 166.991 223.031 l S
BT 166.991 224.268 Td /F1 7.5 Tf [( Louise Grinstein 2001-03-15 First published in 2001. Routledge )] TJ ET
BT 34.016 215.111 Td /F1 7.5 Tf [(is an imprint of Taylor & Francis, an informa company.)] TJ ET
BT 34.016 205.953 Td /F1 7.5 Tf [(Abstract Algebra)] TJ ET
BT 89.456 205.953 Td /F1 7.5 Tf [( David S. Dummit 2004 Covering such material as tensor products, commutative rings, )] TJ ET
BT 34.016 196.796 Td /F1 7.5 Tf [(algebraic number theory and introductory algebraic geometry, this work includes exercises ranging in )] TJ ET
BT 34.016 187.638 Td /F1 7.5 Tf [(scope from routine to fairly sophisticated, including exploration of important theoretical or computational )] TJ ET
BT 34.016 178.481 Td /F1 7.5 Tf [(techniques.)] TJ ET
BT 34.016 169.323 Td /F1 7.5 Tf [(Mathematical Software - ICMS 2006)] TJ ET
BT 154.473 169.323 Td /F1 7.5 Tf [( Andres Iglesias 2006-08-24 This book constitutes the refereed )] TJ ET
BT 34.016 160.166 Td /F1 7.5 Tf [(proceedings of the Second International Congress on Mathematical Software, ICMS 2006. The book )] TJ ET
BT 34.016 151.008 Td /F1 7.5 Tf [(presents 45 revised full papers, carefully reviewed and selected for presentation. The papers are )] TJ ET
BT 34.016 141.851 Td /F1 7.5 Tf [(organized in topical sections on new developments in computer algebra packages, interfacing computer )] TJ ET
BT 34.016 132.693 Td /F1 7.5 Tf [(algebra in mathematical visualization, software for algebraic geometry and related topics, number-)] TJ ET
BT 34.016 123.536 Td /F1 7.5 Tf [(theoretical software, methods in computational number theory, free software for computer algebra, and )] TJ ET
BT 34.016 114.378 Td /F1 7.5 Tf [(general issues.)] TJ ET
BT 34.016 105.221 Td /F1 7.5 Tf [(Number Theory Revealed: A Masterclass)] TJ ET
BT 171.138 105.221 Td /F1 7.5 Tf [( Andrew Granville 2020-09-23 Number Theory Revealed: A )] TJ ET
BT 34.016 96.063 Td /F1 7.5 Tf [(Masterclass acquaints enthusiastic students with the “Queen of Mathematics”. The text offers a fresh )] TJ ET
BT 34.016 86.906 Td /F1 7.5 Tf [(take on congruences, power residues, quadratic residues, primes, and Diophantine equations and )] TJ ET
BT 34.016 77.748 Td /F1 7.5 Tf [(presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to )] TJ ET
BT 34.016 68.591 Td /F1 7.5 Tf [(beautiful enlightening questions like the structure of Pascal's triangle mod $p$ and modern twists on )] TJ ET
BT 34.016 59.433 Td /F1 7.5 Tf [(traditional questions like the values represented by binary quadratic forms, the anatomy of integers, and )] TJ ET
BT 34.016 50.276 Td /F1 7.5 Tf [(elliptic curves. This Masterclass edition contains many additional chapters and appendices not found in )] TJ ET
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BT 34.016 553.938 Td /F1 7.5 Tf [(Number Theory Revealed: An Introduction, highlighting beautiful developments and inspiring other )] TJ ET
BT 34.016 544.781 Td /F1 7.5 Tf [(subjects in mathematics \(like algebra\). This allows instructors to tailor a course suited to their own \(and )] TJ ET
BT 34.016 535.623 Td /F1 7.5 Tf [(their students'\) interests. There are new yet accessible topics like the curvature of circles in a tiling of a )] TJ ET
BT 34.016 526.466 Td /F1 7.5 Tf [(circle by circles, the latest discoveries on gaps between primes, a new proof of Mordell's Theorem for )] TJ ET
BT 34.016 517.308 Td /F1 7.5 Tf [(congruent elliptic curves, and a discussion of the $abc$-conjecture including its proof for polynomials. )] TJ ET
BT 34.016 508.151 Td /F1 7.5 Tf [(About the Author: Andrew Granville is the Canada Research Chair in Number Theory at the University of )] TJ ET
BT 34.016 498.993 Td /F1 7.5 Tf [(Montreal and professor of mathematics at University College London. He has won several international )] TJ ET
BT 34.016 489.836 Td /F1 7.5 Tf [(writing prizes for exposition in mathematics, including the 2008 Chauvenet Prize and the 2019 Halmos-)] TJ ET
BT 34.016 480.678 Td /F1 7.5 Tf [(Ford Prize, and is the author of Prime Suspects \(Princeton University Press, 2019\), a beautifully )] TJ ET
BT 34.016 471.521 Td /F1 7.5 Tf [(illustrated graphic novel murder mystery that explores surprising connections between the anatomies of )] TJ ET
BT 34.016 462.363 Td /F1 7.5 Tf [(integers and of permutations.)] TJ ET
BT 34.016 453.206 Td /F1 7.5 Tf [(Algebra And Trigonometry)] TJ ET
BT 121.548 453.206 Td /F1 7.5 Tf [( Ushri Datta 2006-06-01 )] TJ ET
BT 34.016 444.048 Td /F1 7.5 Tf [(Separable Algebras)] TJ ET
BT 99.881 444.048 Td /F1 7.5 Tf [( Timothy J. Ford 2017-09-26 This book presents a comprehensive introduction to the )] TJ ET
BT 34.016 434.891 Td /F1 7.5 Tf [(theory of separable algebras over commutative rings. After a thorough introduction to the general theory, )] TJ ET
BT 34.016 425.733 Td /F1 7.5 Tf [(the fundamental roles played by separable algebras are explored. For example, Azumaya algebras, the )] TJ ET
BT 34.016 416.576 Td /F1 7.5 Tf [(henselization of local rings, and Galois theory are rigorously introduced and treated. Interwoven )] TJ ET
BT 34.016 407.418 Td /F1 7.5 Tf [(throughout these applications is the important notion of étale algebras. Essential connections are drawn )] TJ ET
BT 34.016 398.261 Td /F1 7.5 Tf [(between the theory of separable algebras and Morita theory, the theory of faithfully flat descent, )] TJ ET
BT 34.016 389.103 Td /F1 7.5 Tf [(cohomology, derivations, differentials, reflexive lattices, maximal orders, and class groups. The text is )] TJ ET
BT 34.016 379.946 Td /F1 7.5 Tf [(accessible to graduate students who have finished a first course in algebra, and it includes necessary )] TJ ET
BT 34.016 370.788 Td /F1 7.5 Tf [(foundational material, useful exercises, and many nontrivial examples.)] TJ ET
BT 34.016 361.631 Td /F1 7.5 Tf [(Introduction to Riemannian Manifolds)] TJ ET
BT 157.818 361.631 Td /F1 7.5 Tf [( John M. Lee 2019-01-02 This text focuses on developing an )] TJ ET
BT 34.016 352.473 Td /F1 7.5 Tf [(intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates )] TJ ET
BT 34.016 343.316 Td /F1 7.5 Tf [(all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers )] TJ ET
BT 34.016 334.158 Td /F1 7.5 Tf [(proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet )] TJ ET
BT 34.016 325.001 Td /F1 7.5 Tf [(Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-)] TJ ET
BT 34.016 315.843 Td /F1 7.5 Tf [(Hicks Theorem.)] TJ ET
BT 34.016 306.686 Td /F1 7.5 Tf [(A Second Course in Linear Algebra)] TJ ET
BT 151.571 306.686 Td /F1 7.5 Tf [( Stephan Ramon Garcia 2017-05-11 A second course in linear )] TJ ET
BT 34.016 297.528 Td /F1 7.5 Tf [(algebra for undergraduates in mathematics, computer science, physics, statistics, and the biological )] TJ ET
BT 34.016 288.371 Td /F1 7.5 Tf [(sciences.)] TJ ET
BT 34.016 279.213 Td /F1 7.5 Tf [(Elements of Quasigroup Theory and Applications)] TJ ET
BT 197.006 279.213 Td /F1 7.5 Tf [( Victor Shcherbacov 2017-05-12 This book provides an )] TJ ET
BT 34.016 270.056 Td /F1 7.5 Tf [(introduction to quasigroup theory along with new structural results on some of the quasigroup classes. )] TJ ET
BT 34.016 260.898 Td /F1 7.5 Tf [(Many results are presented with some of them from mathematicians of the former USSR. These included )] TJ ET
BT 34.016 251.741 Td /F1 7.5 Tf [(results have not been published before in the western mathematical literature. In addition, many of the )] TJ ET
BT 34.016 242.583 Td /F1 7.5 Tf [(achievements obtained with regard to applications of quasigroups in coding theory and cryptology are )] TJ ET
BT 34.016 233.426 Td /F1 7.5 Tf [(described.)] TJ ET
BT 34.016 224.268 Td /F1 7.5 Tf [(MATHEMATICAL COMBINATORICS, Vol. 3 / 2018)] TJ ET
BT 204.476 224.268 Td /F1 7.5 Tf [( Linfan Mao The Mathematical Combinatorics )] TJ ET
BT 34.016 215.111 Td /F1 7.5 Tf [(\(International Book Series\) is a fully refereed international book series with ISBN number on each issue, )] TJ ET
BT 34.016 205.953 Td /F1 7.5 Tf [(sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising )] TJ ET
BT 34.016 196.796 Td /F1 7.5 Tf [(110-160 pages approx. per volume, which publishes original research papers and survey articles in all )] TJ ET
BT 34.016 187.638 Td /F1 7.5 Tf [(aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-)] TJ ET
BT 34.016 178.481 Td /F1 7.5 Tf [(euclidean geometry and topology and their applications to other sciences.)] TJ ET
BT 34.016 169.323 Td /F1 7.5 Tf [(Cryptography)] TJ ET
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34.016 168.086 m 79.031 168.086 l S
BT 79.031 169.323 Td /F1 7.5 Tf [( Simon Rubinstein-Salzedo 2018-09-27 This text introduces cryptography, from its earliest )] TJ ET
BT 34.016 160.166 Td /F1 7.5 Tf [(roots to cryptosystems used today for secure online communication. Beginning with classical ciphers and )] TJ ET
BT 34.016 151.008 Td /F1 7.5 Tf [(their cryptanalysis, this book proceeds to focus on modern public key cryptosystems such as Diffie-)] TJ ET
BT 34.016 141.851 Td /F1 7.5 Tf [(Hellman, ElGamal, RSA, and elliptic curve cryptography with an analysis of vulnerabilities of these )] TJ ET
BT 34.016 132.693 Td /F1 7.5 Tf [(systems and underlying mathematical issues such as factorization algorithms. Specialized topics such as )] TJ ET
BT 34.016 123.536 Td /F1 7.5 Tf [(zero knowledge proofs, cryptographic voting, coding theory, and new research are covered in the final )] TJ ET
BT 34.016 114.378 Td /F1 7.5 Tf [(section of this book. Aimed at undergraduate students, this book contains a large selection of problems, )] TJ ET
BT 34.016 105.221 Td /F1 7.5 Tf [(ranging from straightforward to difficult, and can be used as a textbook for classes as well as self-study. )] TJ ET
BT 34.016 96.063 Td /F1 7.5 Tf [(Requiring only a solid grounding in basic mathematics, this book will also appeal to advanced high school )] TJ ET
BT 34.016 86.906 Td /F1 7.5 Tf [(students and amateur mathematicians interested in this fascinating and topical subject.)] TJ ET
BT 34.016 77.748 Td /F1 7.5 Tf [(Beyond the Quadratic Formula)] TJ ET
0.15 w 0 J [ ] 0 d
34.016 76.511 m 136.143 76.511 l S
BT 136.143 77.748 Td /F1 7.5 Tf [( Ron Irving 2020-01-29 The quadratic formula for the solution of quadratic )] TJ ET
BT 34.016 68.591 Td /F1 7.5 Tf [(equations was discovered independently by scholars in many ancient cultures and is familiar to )] TJ ET
BT 34.016 59.433 Td /F1 7.5 Tf [(everyone. Less well known are formulas for solutions of cubic and quartic equations whose discovery )] TJ ET
BT 34.016 50.276 Td /F1 7.5 Tf [(was the high point of 16th century mathematics. Their study forms the heart of this book, as part of the )] TJ ET
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BT 34.016 553.938 Td /F1 7.5 Tf [(broader theme that a polynomial's coefficients can be used to obtain detailed information on its roots. )] TJ ET
BT 34.016 544.781 Td /F1 7.5 Tf [(The book is designed for self-study, with many results presented as exercises and some supplemented )] TJ ET
BT 34.016 535.623 Td /F1 7.5 Tf [(by outlines for solution. The intended audience includes in-service and prospective secondary )] TJ ET
BT 34.016 526.466 Td /F1 7.5 Tf [(mathematics teachers, high school students eager to go beyond the standard curriculum, )] TJ ET
BT 34.016 517.308 Td /F1 7.5 Tf [(undergraduates who desire an in-depth look at a topic they may have unwittingly skipped over, and the )] TJ ET
BT 34.016 508.151 Td /F1 7.5 Tf [(mathematically curious who wish to do some work to unlock the mysteries of this beautiful subject.)] TJ ET
BT 34.016 498.993 Td /F1 7.5 Tf [(ABSTRACT ALGEBRA, 3RD EDITION)] TJ ET
BT 163.211 498.993 Td /F1 7.5 Tf [( David Steven Dummit 2004 Market_Desc: Mathematics students )] TJ ET
BT 34.016 489.836 Td /F1 7.5 Tf [(at both the advanced undergraduate and graduate levels. Special Features: Over 1500 exercises, many )] TJ ET
BT 34.016 480.678 Td /F1 7.5 Tf [(with multiple parts, ranging in scope from routine to fairly sophisticated, and ranging in purpose from )] TJ ET
BT 34.016 471.521 Td /F1 7.5 Tf [(basic application of text material to exploration of important theoretical or computational techniques. · The )] TJ ET
BT 34.016 462.363 Td /F1 7.5 Tf [(emphasis throughout has been to motivate the introduction and development of important algebraic )] TJ ET
BT 34.016 453.206 Td /F1 7.5 Tf [(concepts using as many examples as possible. · Contains many topics not usually found in a basic )] TJ ET
BT 34.016 444.048 Td /F1 7.5 Tf [(algebra book such as rings of algebraic integers, semidirect products and the theory of extensions, )] TJ ET
BT 34.016 434.891 Td /F1 7.5 Tf [(criteria for Principal Ideal Domains, criteria for solvability of a quintic, and Dedekind Domains. About The )] TJ ET
BT 34.016 425.733 Td /F1 7.5 Tf [(Book: Widely acclaimed algebra text. This book is designed to give the reader insight into the power and )] TJ ET
BT 34.016 416.576 Td /F1 7.5 Tf [(beauty that accrues from a rich interplay between different areas of mathematics. The book carefully )] TJ ET
BT 34.016 407.418 Td /F1 7.5 Tf [(develops the theory of different algebraic structures, beginning from basic definitions to some in-depth )] TJ ET
BT 34.016 398.261 Td /F1 7.5 Tf [(results, using numerous examples and exercises to aid the reader's understanding. In this way, readers )] TJ ET
BT 34.016 389.103 Td /F1 7.5 Tf [(gain an appreciation for how mathematical structures and their interplay lead to powerful results and )] TJ ET
BT 34.016 379.946 Td /F1 7.5 Tf [(insights in a number of different settings.)] TJ ET
BT 34.016 370.788 Td /F1 7.5 Tf [(The Life of Primes in 37 Episodes)] TJ ET
BT 146.148 370.788 Td /F1 7.5 Tf [( Jean-Marie De Koninck 2021-05-19 This book is about the life of )] TJ ET
BT 34.016 361.631 Td /F1 7.5 Tf [(primes. Indeed, once they are defined, primes take on a life of their own and the mysteries surrounding )] TJ ET
BT 34.016 352.473 Td /F1 7.5 Tf [(them begin multiplying, just like living cells reproduce themselves, and there seems to be no end to it. )] TJ ET
BT 34.016 343.316 Td /F1 7.5 Tf [(This monograph takes the reader on a journey through time, providing an accessible overview of the )] TJ ET
BT 34.016 334.158 Td /F1 7.5 Tf [(numerous prime number theory problems that mathematicians have been working on since Euclid. )] TJ ET
BT 34.016 325.001 Td /F1 7.5 Tf [(Topics are presented in chronological order as episodes. These include results on the distribution of )] TJ ET
BT 34.016 315.843 Td /F1 7.5 Tf [(primes, from the most elementary to the proof of the famous prime number theorem. The book also )] TJ ET
BT 34.016 306.686 Td /F1 7.5 Tf [(covers various primality tests and factorisation algorithms. It is then shown how our inability to factor )] TJ ET
BT 34.016 297.528 Td /F1 7.5 Tf [(large integers has allowed mathematicians to create today's most secure encryption method. Computer )] TJ ET
BT 34.016 288.371 Td /F1 7.5 Tf [(science buffs may be tempted to tackle some of the many open problems appearing in the episodes. )] TJ ET
BT 34.016 279.213 Td /F1 7.5 Tf [(Throughout the presentation, the human side of mathematics is displayed through short biographies that )] TJ ET
BT 34.016 270.056 Td /F1 7.5 Tf [(give a glimpse of the lives of the people who contributed to the life of primes. Each of the 37 episodes )] TJ ET
BT 34.016 260.898 Td /F1 7.5 Tf [(concludes with a series of problems \(many with solutions\) that will assist the reader in gaining a better )] TJ ET
BT 34.016 251.741 Td /F1 7.5 Tf [(understanding of the theory.)] TJ ET
BT 34.016 242.583 Td /F1 7.5 Tf [(Abstract Algebra)] TJ ET
BT 89.456 242.583 Td /F1 7.5 Tf [( Theodore Shifrin 1996 Appropriate for a 1 or 2 term course in Abstract Algebra at the )] TJ ET
BT 34.016 233.426 Td /F1 7.5 Tf [(Junior level. This book explores the essential theories and techniques of modern algebra, including its )] TJ ET
BT 34.016 224.268 Td /F1 7.5 Tf [(problem-solving skills, basic proof techniques, many unusual applications, and the interplay between )] TJ ET
BT 34.016 215.111 Td /F1 7.5 Tf [(algebra and geometry. It takes a concrete, example-oriented approach to the subject matter.)] TJ ET
BT 34.016 205.953 Td /F1 7.5 Tf [(Elements of Modern Algebra)] TJ ET
BT 129.056 205.953 Td /F1 7.5 Tf [( Linda Gilbert 2014-01-01 ELEMENTS OF MODERN ALGEBRA, Eighth )] TJ ET
BT 34.016 196.796 Td /F1 7.5 Tf [(Edition, with its user-friendly format, provides you with the tools you need to succeed in abstract algebra )] TJ ET
BT 34.016 187.638 Td /F1 7.5 Tf [(and develop mathematical maturity as a bridge to higher-level mathematics courses. Strategy boxes give )] TJ ET
BT 34.016 178.481 Td /F1 7.5 Tf [(you guidance and explanations about techniques and enable you to become more proficient at )] TJ ET
BT 34.016 169.323 Td /F1 7.5 Tf [(constructing proofs. A summary of key words and phrases at the end of each chapter help you master )] TJ ET
BT 34.016 160.166 Td /F1 7.5 Tf [(the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help )] TJ ET
BT 34.016 151.008 Td /F1 7.5 Tf [(you develop your problem-solving skills. Important Notice: Media content referenced within the product )] TJ ET
BT 34.016 141.851 Td /F1 7.5 Tf [(description or the product text may not be available in the ebook version.)] TJ ET
BT 34.016 132.693 Td /F1 7.5 Tf [(A Guide to Groups, Rings, and Fields)] TJ ET
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34.016 131.456 m 158.238 131.456 l S
BT 158.238 132.693 Td /F1 7.5 Tf [( Fernando Q. Gouvêa 2012-12-31 Insightful overview of many kinds )] TJ ET
BT 34.016 123.536 Td /F1 7.5 Tf [(of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.)] TJ ET
BT 34.016 114.378 Td /F1 7.5 Tf [(Recent Developments in Representation Theory)] TJ ET
BT 194.081 114.378 Td /F1 7.5 Tf [( Alex Martsinkovsky 2016-08-26 This volume contains )] TJ ET
BT 34.016 105.221 Td /F1 7.5 Tf [(selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International )] TJ ET
BT 34.016 96.063 Td /F1 7.5 Tf [(Conference, held May 1–6, 2014, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Several )] TJ ET
BT 34.016 86.906 Td /F1 7.5 Tf [(significant developments of the last decade in representation theory of finite-dimensional algebras are )] TJ ET
BT 34.016 77.748 Td /F1 7.5 Tf [(related to combinatorics. Three of the five lectures in this volume deal, respectively, with the Catalan )] TJ ET
BT 34.016 68.591 Td /F1 7.5 Tf [(combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules. )] TJ ET
BT 34.016 59.433 Td /F1 7.5 Tf [(The remaining papers present history and recent advances in the study of left orders in left Artinian rings )] TJ ET
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BT 34.016 553.938 Td /F1 7.5 Tf [(and a survey on invariant theory of Artin-Schelter regular algebras.)] TJ ET
BT 34.016 544.781 Td /F1 7.5 Tf [(Algebra in Action: A Course in Groups, Rings, and Fields)] TJ ET
BT 222.843 544.781 Td /F1 7.5 Tf [( Shahriar Shahriar 2017-08-16 This text—based )] TJ ET
BT 34.016 535.623 Td /F1 7.5 Tf [(on the author's popular courses at Pomona College—provides a readable, student-friendly, and )] TJ ET
BT 34.016 526.466 Td /F1 7.5 Tf [(somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior )] TJ ET
BT 34.016 517.308 Td /F1 7.5 Tf [(undergraduates who are seeing the material for the first time. In addition to the usual definitions and )] TJ ET
BT 34.016 508.151 Td /F1 7.5 Tf [(theorems, there is ample discussion to help students build intuition and learn how to think about the )] TJ ET
BT 34.016 498.993 Td /F1 7.5 Tf [(abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, )] TJ ET
BT 34.016 489.836 Td /F1 7.5 Tf [(and, to facilitate active learning and self-study, hints and short answers for many of the problems are )] TJ ET
BT 34.016 480.678 Td /F1 7.5 Tf [(provided. There are full solutions to over 100 problems in order to augment the text and to model the )] TJ ET
BT 34.016 471.521 Td /F1 7.5 Tf [(writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof )] TJ ET
BT 34.016 462.363 Td /F1 7.5 Tf [(techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying )] TJ ET
BT 34.016 453.206 Td /F1 7.5 Tf [(theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine )] TJ ET
BT 34.016 444.048 Td /F1 7.5 Tf [(equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each )] TJ ET
BT 34.016 434.891 Td /F1 7.5 Tf [(area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the )] TJ ET
BT 34.016 425.733 Td /F1 7.5 Tf [(reader that the subject is full of unexpected results.)] TJ ET
BT 34.016 416.576 Td /F1 7.5 Tf [(Quiver Representations)] TJ ET
BT 112.796 416.576 Td /F1 7.5 Tf [( Ralf Schiffler 2014-09-04 This book is intended to serve as a textbook for a )] TJ ET
BT 34.016 407.418 Td /F1 7.5 Tf [(course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In )] TJ ET
BT 34.016 398.261 Td /F1 7.5 Tf [(Part I, the theory is studied in an elementary way using quivers and their representations. This is a very )] TJ ET
BT 34.016 389.103 Td /F1 7.5 Tf [(hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the )] TJ ET
BT 34.016 379.946 Td /F1 7.5 Tf [(representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text )] TJ ET
BT 34.016 370.788 Td /F1 7.5 Tf [(introduces these quivers as early as possible. Part II then uses the language of algebras and modules to )] TJ ET
BT 34.016 361.631 Td /F1 7.5 Tf [(build on the material developed before. The equivalence of the two approaches is proved in the text. The )] TJ ET
BT 34.016 352.473 Td /F1 7.5 Tf [(last chapter gives a proof of Gabriel’s Theorem. The language of category theory is developed along the )] TJ ET
BT 34.016 343.316 Td /F1 7.5 Tf [(way as needed.)] TJ ET
BT 34.016 334.158 Td /F1 7.5 Tf [(Advanced Linear Algebra)] TJ ET
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34.016 332.921 m 118.226 332.921 l S
BT 118.226 334.158 Td /F1 7.5 Tf [( Nicholas Loehr 2014-04-10 Designed for advanced undergraduate and )] TJ ET
BT 34.016 325.001 Td /F1 7.5 Tf [(beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical )] TJ ET
BT 34.016 315.843 Td /F1 7.5 Tf [(aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced )] TJ ET
BT 34.016 306.686 Td /F1 7.5 Tf [(topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, )] TJ ET
BT 34.016 297.528 Td /F1 7.5 Tf [(analysis, combinatorics, numerical computation, and many other areas of mathematics. The book’s 20 )] TJ ET
BT 34.016 288.371 Td /F1 7.5 Tf [(chapters are grouped into six main areas: algebraic structures, matrices, structured matrices, geometric )] TJ ET
BT 34.016 279.213 Td /F1 7.5 Tf [(aspects of linear algebra, modules, and multilinear algebra. The level of abstraction gradually increases )] TJ ET
BT 34.016 270.056 Td /F1 7.5 Tf [(as students proceed through the text, moving from matrices to vector spaces to modules. Each chapter )] TJ ET
BT 34.016 260.898 Td /F1 7.5 Tf [(consists of a mathematical vignette devoted to the development of one specific topic. Some chapters )] TJ ET
BT 34.016 251.741 Td /F1 7.5 Tf [(look at introductory material from a sophisticated or abstract viewpoint while others provide elementary )] TJ ET
BT 34.016 242.583 Td /F1 7.5 Tf [(expositions of more theoretical concepts. Several chapters offer unusual perspectives or novel )] TJ ET
BT 34.016 233.426 Td /F1 7.5 Tf [(treatments of standard results. Unlike similar advanced mathematical texts, this one minimizes the )] TJ ET
BT 34.016 224.268 Td /F1 7.5 Tf [(dependence of each chapter on material found in previous chapters so that students may immediately )] TJ ET
BT 34.016 215.111 Td /F1 7.5 Tf [(turn to the relevant chapter without first wading through pages of earlier material to access the necessary )] TJ ET
BT 34.016 205.953 Td /F1 7.5 Tf [(algebraic background and theorems. Chapter summaries contain a structured list of the principal )] TJ ET
BT 34.016 196.796 Td /F1 7.5 Tf [(definitions and results. End-of-chapter exercises aid students in digesting the material. Students are )] TJ ET
BT 34.016 187.638 Td /F1 7.5 Tf [(encouraged to use a computer algebra system to help solve computationally intensive exercises.)] TJ ET
BT 34.016 178.481 Td /F1 7.5 Tf [(Abstract Algebra with Applications)] TJ ET
BT 147.393 178.481 Td /F1 7.5 Tf [( Audrey Terras 2018-12-20 This text offers a friendly and concise )] TJ ET
BT 34.016 169.323 Td /F1 7.5 Tf [(introduction to abstract algebra, emphasizing its uses in the modern world.)] TJ ET
BT 34.016 160.166 Td /F1 7.5 Tf [(Ring And Field Theory)] TJ ET
BT 108.626 160.166 Td /F1 7.5 Tf [( Kaiming Zhao 2022-04-14 This book is intended as a textbook for a one-term )] TJ ET
BT 34.016 151.008 Td /F1 7.5 Tf [(senior undergraduate \(or graduate\) course in Ring and Field Theory, or Galois theory. The book is ready )] TJ ET
BT 34.016 141.851 Td /F1 7.5 Tf [(for an instructor to pick up to teach without making any preparations.The book is written in a way that is )] TJ ET
BT 34.016 132.693 Td /F1 7.5 Tf [(easy to understand, simple and concise with simple historic remarks to show the beauty of algebraic )] TJ ET
BT 34.016 123.536 Td /F1 7.5 Tf [(results and algebraic methods. The book contains 240 carefully selected exercise questions of varying )] TJ ET
BT 34.016 114.378 Td /F1 7.5 Tf [(difficulty which will allow students to practice their own computational and proof-writing skills. Sample )] TJ ET
BT 34.016 105.221 Td /F1 7.5 Tf [(solutions to some exercise questions are provided, from which students can learn to approach and write )] TJ ET
BT 34.016 96.063 Td /F1 7.5 Tf [(their own solutions and proofs. Besides standard ones, some of the exercises are new and very )] TJ ET
BT 34.016 86.906 Td /F1 7.5 Tf [(interesting. The book contains several simple-to-use irreducibility criteria for rational polynomials which )] TJ ET
BT 34.016 77.748 Td /F1 7.5 Tf [(are not in any such textbook.This book can also serve as a reference for professional mathematicians. In )] TJ ET
BT 34.016 68.591 Td /F1 7.5 Tf [(particular, it will be a nice book for PhD students to prepare their qualification exams.)] TJ ET
BT 34.016 59.433 Td /F1 7.5 Tf [(Symmetry in Graphs)] TJ ET
BT 102.363 59.433 Td /F1 7.5 Tf [( Ted Dobson 2022-05-12 This is the first full-length book on the major theme of )] TJ ET
BT 34.016 50.276 Td /F1 7.5 Tf [(symmetry in graphs. Forming part of algebraic graph theory, this fast-growing field is concerned with the )] TJ ET
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BT 34.016 553.938 Td /F1 7.5 Tf [(study of highly symmetric graphs, particularly vertex-transitive graphs, and other combinatorial structures, )] TJ ET
BT 34.016 544.781 Td /F1 7.5 Tf [(primarily by group-theoretic techniques. In practice the street goes both ways and these investigations )] TJ ET
BT 34.016 535.623 Td /F1 7.5 Tf [(shed new light on permutation groups and related algebraic structures. The book assumes a first course )] TJ ET
BT 34.016 526.466 Td /F1 7.5 Tf [(in graph theory and group theory but no specialized knowledge of the theory of permutation groups or )] TJ ET
BT 34.016 517.308 Td /F1 7.5 Tf [(vertex-transitive graphs. It begins with the basic material before introducing the field's major problems )] TJ ET
BT 34.016 508.151 Td /F1 7.5 Tf [(and most active research themes in order to motivate the detailed discussion of individual topics that )] TJ ET
BT 34.016 498.993 Td /F1 7.5 Tf [(follows. Featuring many examples and over 450 exercises, it is an essential introduction to the field for )] TJ ET
BT 34.016 489.836 Td /F1 7.5 Tf [(graduate students and a valuable addition to any algebraic graph theorist's bookshelf.)] TJ ET
BT 34.016 480.678 Td /F1 7.5 Tf [(Problems in Abstract Algebra)] TJ ET
BT 131.133 480.678 Td /F1 7.5 Tf [( A. R. Wadsworth 2017-05-10 This is a book of problems in abstract algebra )] TJ ET
BT 34.016 471.521 Td /F1 7.5 Tf [(for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or )] TJ ET
BT 34.016 462.363 Td /F1 7.5 Tf [(for self-study. The book provides more variety and more challenging problems than are found in most )] TJ ET
BT 34.016 453.206 Td /F1 7.5 Tf [(algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling )] TJ ET
BT 34.016 444.048 Td /F1 7.5 Tf [(problems that take some thought and effort to solve. The book contains problems on groups \(including )] TJ ET
BT 34.016 434.891 Td /F1 7.5 Tf [(the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure )] TJ ET
BT 34.016 425.733 Td /F1 7.5 Tf [(and duality for finite abelian groups\); rings \(including basic ideal theory and factorization in integral )] TJ ET
BT 34.016 416.576 Td /F1 7.5 Tf [(domains and Gauss's Theorem\); linear algebra \(emphasizing linear transformations, including canonical )] TJ ET
BT 34.016 407.418 Td /F1 7.5 Tf [(forms\); and fields \(including Galois theory\). Hints to many problems are also included.)] TJ ET
BT 34.016 398.261 Td /F1 7.5 Tf [(Ring Theory and Its Applications)] TJ ET
BT 141.978 398.261 Td /F1 7.5 Tf [( Dinh Van Huynh 2014-02-21 This volume contains the proceedings of )] TJ ET
BT 34.016 389.103 Td /F1 7.5 Tf [(the Ring Theory Session in honor of T. Y. Lam's 70th birthday, at the 31st Ohio State-Denison )] TJ ET
BT 34.016 379.946 Td /F1 7.5 Tf [(Mathematics Conference, held from May 25-27, 2012, at The Ohio State University, Columbus, Ohio. )] TJ ET
BT 34.016 370.788 Td /F1 7.5 Tf [(Included are expository articles and research papers covering topics such as cyclically presented )] TJ ET
BT 34.016 361.631 Td /F1 7.5 Tf [(modules, Eggert's conjecture, the Mittag-Leffler conditions, clean rings, McCoy rings, QF rings, projective )] TJ ET
BT 34.016 352.473 Td /F1 7.5 Tf [(and injective modules, Baer modules, and Leavitt path algebras. Graduate students and researchers in )] TJ ET
BT 34.016 343.316 Td /F1 7.5 Tf [(many areas of algebra will find this volume valuable as the papers point out many directions for future )] TJ ET
BT 34.016 334.158 Td /F1 7.5 Tf [(work; in particular, several articles contain explicit lists of open questions.)] TJ ET
BT 34.016 325.001 Td /F1 7.5 Tf [(Discrete Mathematics Research Progress)] TJ ET
BT 172.383 325.001 Td /F1 7.5 Tf [( Kenneth Brian Moore 2008 Discrete mathematics, also called )] TJ ET
BT 34.016 315.843 Td /F1 7.5 Tf [(finite mathematics or Decision Maths, is the study of mathematical structures that are fundamentally )] TJ ET
BT 34.016 306.686 Td /F1 7.5 Tf [(discrete, in the sense of not supporting or requiring the notion of continuity. Most, if not all, of the objects )] TJ ET
BT 34.016 297.528 Td /F1 7.5 Tf [(studied in finite mathematics are countable sets, such as integers, finite graphs, and formal languages. )] TJ ET
BT 34.016 288.371 Td /F1 7.5 Tf [(Discrete mathematics has become popular in recent decades because of its applications to computer )] TJ ET
BT 34.016 279.213 Td /F1 7.5 Tf [(science. Concepts and notations from discrete mathematics are useful to study or describe objects or )] TJ ET
BT 34.016 270.056 Td /F1 7.5 Tf [(problems in computer algorithms and programming languages. In some mathematics curricula, finite )] TJ ET
BT 34.016 260.898 Td /F1 7.5 Tf [(mathematics courses cover discrete mathematical concepts for business, while discrete mathematics )] TJ ET
BT 34.016 251.741 Td /F1 7.5 Tf [(courses emphasise concepts for computer science majors.)] TJ ET
BT 34.016 242.583 Td /F1 7.5 Tf [(Abstract Algebra, 2Nd Ed)] TJ ET
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BT 118.638 242.583 Td /F1 7.5 Tf [( David S. Dummit 2008-07-28 · Group Theory · Ring Theory · Modules and )] TJ ET
BT 34.016 233.426 Td /F1 7.5 Tf [(Vector Spaces · Field Theory and Galois Theory · An Introduction to Commutative Rings, Algebraic )] TJ ET
BT 34.016 224.268 Td /F1 7.5 Tf [(Geometry, and Homological Algebra· Introduction to the Representation Theory of Finite Groups)] TJ ET
BT 34.016 215.111 Td /F1 7.5 Tf [(Groups, Matrices, and Vector Spaces)] TJ ET
BT 158.651 215.111 Td /F1 7.5 Tf [( James B. Carrell 2017-09-02 This unique text provides a geometric )] TJ ET
BT 34.016 205.953 Td /F1 7.5 Tf [(approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects )] TJ ET
BT 34.016 196.796 Td /F1 7.5 Tf [(interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give )] TJ ET
BT 34.016 187.638 Td /F1 7.5 Tf [(students a strong foundation in both geometry and algebra. Starting with preliminaries \(relations, )] TJ ET
BT 34.016 178.481 Td /F1 7.5 Tf [(elementary combinatorics, and induction\), the book then proceeds to the core topics: the elements of the )] TJ ET
BT 34.016 169.323 Td /F1 7.5 Tf [(theory of groups and fields \(Lagrange's Theorem, cosets, the complex numbers and the prime fields\), )] TJ ET
BT 34.016 160.166 Td /F1 7.5 Tf [(matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and )] TJ ET
BT 34.016 151.008 Td /F1 7.5 Tf [(diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final )] TJ ET
BT 34.016 141.851 Td /F1 7.5 Tf [(two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and )] TJ ET
BT 34.016 132.693 Td /F1 7.5 Tf [(an introduction to linear algebraic groups, which enriches the notion of a matrix group. Applications )] TJ ET
BT 34.016 123.536 Td /F1 7.5 Tf [(involving symm etry groups, determinants, linear coding theory and cryptography are interwoven )] TJ ET
BT 34.016 114.378 Td /F1 7.5 Tf [(throughout. Each section ends with ample practice problems assisting the reader to better understand )] TJ ET
BT 34.016 105.221 Td /F1 7.5 Tf [(the material. Some of the applications are illustrated in the chapter appendices. The author's unique )] TJ ET
BT 34.016 96.063 Td /F1 7.5 Tf [(melding of topics evolved from a two semester course that he taught at the University of British Columbia )] TJ ET
BT 34.016 86.906 Td /F1 7.5 Tf [(consisting of an undergraduate honors course on abstract linear algebra and a similar course on the )] TJ ET
BT 34.016 77.748 Td /F1 7.5 Tf [(theory of groups. The combined content from both makes this rare text ideal for a year-long course, )] TJ ET
BT 34.016 68.591 Td /F1 7.5 Tf [(covering more material than most linear algebra texts. It is also optimal for independent study and as a )] TJ ET
BT 34.016 59.433 Td /F1 7.5 Tf [(supplementary text for various professional applications. Advanced undergraduate or graduate students )] TJ ET
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BT 34.016 553.938 Td /F1 7.5 Tf [(in mathematics, physics, computer science and engineering will find this book both useful and enjoyable.)] TJ ET
BT 34.016 544.781 Td /F1 7.5 Tf [(Number Theory Revealed: An Introduction)] TJ ET
BT 174.491 544.781 Td /F1 7.5 Tf [( Andrew Granville 2019-11-12 Number Theory Revealed: An )] TJ ET
BT 34.016 535.623 Td /F1 7.5 Tf [(Introduction acquaints undergraduates with the “Queen of Mathematics”. The text offers a fresh take on )] TJ ET
BT 34.016 526.466 Td /F1 7.5 Tf [(congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot )] TJ ET
BT 34.016 517.308 Td /F1 7.5 Tf [(topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful )] TJ ET
BT 34.016 508.151 Td /F1 7.5 Tf [(enlightening questions like the structure of Pascal's triangle mod p p and modern twists on traditional )] TJ ET
BT 34.016 498.993 Td /F1 7.5 Tf [(questions like the values represented by binary quadratic forms and large solutions of equations. Each )] TJ ET
BT 34.016 489.836 Td /F1 7.5 Tf [(chapter includes an “elective appendix” with additional reading, projects, and references. An expanded )] TJ ET
BT 34.016 480.678 Td /F1 7.5 Tf [(edition, Number Theory Revealed: A Masterclass, offers a more comprehensive approach to these core )] TJ ET
BT 34.016 471.521 Td /F1 7.5 Tf [(topics and adds additional material in further chapters and appendices, allowing instructors to create an )] TJ ET
BT 34.016 462.363 Td /F1 7.5 Tf [(individualized course tailored to their own \(and their students'\) interests.)] TJ ET
BT 34.016 453.206 Td /F1 7.5 Tf [(Outlines and Highlights for Abstract Algebra by David S Dummit)] TJ ET
BT 245.756 453.206 Td /F1 7.5 Tf [( Cram101 Textbook Reviews 2010-12-01 )] TJ ET
BT 34.016 444.048 Td /F1 7.5 Tf [(Never HIGHLIGHT a Book Again! Virtually all of the testable terms, concepts, persons, places, and )] TJ ET
BT 34.016 434.891 Td /F1 7.5 Tf [(events from the textbook are included. Cram101 Just the FACTS101 studyguides give all of the outlines, )] TJ ET
BT 34.016 425.733 Td /F1 7.5 Tf [(highlights, notes, and quizzes for your textbook with optional online comprehensive practice tests. Only )] TJ ET
BT 34.016 416.576 Td /F1 7.5 Tf [(Cram101 is Textbook Specific. Accompanys: 9780471433347 .)] TJ ET
BT 34.016 407.418 Td /F1 7.5 Tf [(Win-- Women in Numbers)] TJ ET
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BT 120.273 407.418 Td /F1 7.5 Tf [( Alina Carmen Cojocaru 2011-01-01 This volume is a collection of papers on )] TJ ET
BT 34.016 398.261 Td /F1 7.5 Tf [(number theory which evolved out of the workshop WIN - Women in Numbers, held November 2nd-7th, )] TJ ET
BT 34.016 389.103 Td /F1 7.5 Tf [(2008, in Alberta, Canada. The book includes articles showcasing outcomes from collaborative research )] TJ ET
BT 34.016 379.946 Td /F1 7.5 Tf [(initiated during the workshop.)] TJ ET
BT 36.266 346.666 Td /F1 8.0 Tf [(abstract-algebra-david-s-dummit)] TJ ET
BT 217.848 351.757 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 282.760 351.550 Td /F1 8.0 Tf [(joboti.nl)] TJ ET
BT 310.328 351.757 Td /F1 8.0 Tf [( on October 2, 2022 )] TJ ET
BT 353.024 341.989 Td /F1 8.0 Tf [(by guest)] TJ ET
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