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Praise for the first edition"This book is clearly written and presents a large number of examples illustrating the theory . . . there is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable if not essential addition to undergraduate mathematics and computer science libraries." -CHOICE As a cornerstone of mathematical science, the importance of modern algebra and discrete structures to many areas of science and technology is apparent and growing-with extensive use in computing science, physics, chemistry, and data communications as well as in areas of mathematics such as combinatorics. Blending the theoretical with the practical in the instruction of modern algebra, Modern Algebra with Applications, Second Edition provides interesting and important applications of this subject-effectively holding your interest and creating a more seamless method of instruction. Incorporating the applications of modern algebra throughout its authoritative treatment of the subject, this book covers the full complement of group, ring, and field theory typically contained in a standard modern algebra course. Numerous examples are included in each chapter, and answers to odd-numbered exercises are appended in the back of the text. Chapter topics include: Boolean AlgebrasPolynomial and Euclidean RingsGroupsQuotient RingsQuotient GroupsField ExtensionsSymmetry Groups in Three DimensionsLatin SquaresPolya--Burnside Method of EnumerationGeometrical ConstructionsMonoids and MachinesError-Correcting CodesRings and Fields In addition to improvements in exposition, this fully updated Second Edition also contains new material on order of an element and cyclic groups, more details about the lattice of divisors of an integer, and new historical notes. Filled with in-depth insights and over 600 exercises of varying difficulty, Modern Algebra with Applications, Second Edition can help anyone appreciate and understand this subject.
| Price | Condition | Delivery | Seller | Action |
| $145.00 | Digital |
| WonderClub |
James Arrington El
reviewed Modern algebra with applications on March 28, 2021
Modern algebra with applications
This slim volume brings together three lectures given by Brown on the subject of the "Christianisation" of the later Roman Empire. Brown looks at the symbolic systems in use by the Roman elites, conceptions of authority, and the roles of Christian holy men, and challenges the neat and accepted historical narrative of Christianity triumphing over and absorbing a moribund paganism. Rather, he shows a late antique world in which Christians and pagans negotiated a compromise between the new faith and long-standing ways of seeing the world, and often possessed multiple, overlapping world views. That compromise, moreover, was often not worked out merely in terms of religious syncretism, but in terms of power'the Christian holy man derived his power not because he appropriated pagan religious forms, but because of how he presented himself as a parallel of Roman secular authority'the administrator, the paterfamilias.
Brown also cautions against using the rhetoric of philosophers and theologians as a means of assessing the relative power, or lack thereof, of the two major religious groupings. He points out that such groups were elites, often deliberately withdrawn from the concerns of the secular mundus and thus cannot be taken as representative of how the majority of people conceived of their faith.
As erudite and as beautifully written as always, Authority and the Sacred is perhaps not one of Brown's most groundbreaking of books, but it is still well worth the read if one has even the most passing of interests in the subject.
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