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020 _a9781118497760
_q(electronic bk.)
020 _z9781118459829
035 _a(MiAaPQ)EBC1834778
035 _a(Au-PeEL)EBL1834778
035 _a(CaPaEBR)ebr10976521
035 _a(OCoLC)895431394
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQA172 -- .D59 2015eb
082 0 _a511.3/3
100 1 _aDixon, Martyn R.
245 1 3 _aAn Introduction to Essential Algebraic Structures.
250 _a1st ed.
264 1 _aSomerset :
_bJohn Wiley & Sons, Incorporated,
_c2014.
264 4 _c©2015.
300 _a1 online resource (243 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _aIntro -- An Introduction to Essential Algebraic Structures -- Copyright -- Contents -- Preface -- Chapter 1 Sets -- 1.1 Operations on Sets -- Exercise Set 1.1 -- 1.2 Set Mappings -- Exercise Set 1.2 -- 1.3 Products of Mappings and Permutations -- Exercise Set 1.3 -- 1.4 Operations on Matrices -- Exercise Set 1.4 -- 1.5 Binary Algebraic Operations and Equivalence Relations -- Exercise Set 1.5 -- Chapter 2 Numbers -- 2.1 Some Properties of Integers: Mathematical Induction -- Exercise Set 2.1 -- 2.2 Divisibility -- Exercise Set 2.2 -- 2.3 Prime Factorization: The Fundamental Theorem of Arithmetic -- Exercise Set 2.3 -- 2.4 Rational Numbers, Irrational Numbers, and Real Numbers -- Exercise Set 2.4 -- Chapter 3 Groups -- 3.1 Groups and Subgroups -- Exercise Set 3.1 -- 3.2 Cosets and Normal Subgroups -- Exercise Set 3.2 -- 3.3 Factor Groups and Homomorphisms -- Exercise Set 3.3 -- Chapter 4 Rings -- 4.1 Rings, Subrings, Associative Rings -- Exercise Set 4.1 -- 4.2 Rings of Polynomials -- Exercise Set 4.2 -- 4.3 Ideals and Quotient Rings -- Exercise Set 4.3 -- 4.4 Homomorphisms of Rings -- Exercise Set 4.4 -- Chapter 5 Fields -- 5.1 Fields: Basic Properties and Examples -- Exercise Set 5.1 -- 5.2 Some Field Extensions -- Exercise Set 5.2 -- 5.3 Fields of Algebraic Numbers -- Exercise Set 5.3 -- Hints and Answers to Selected Exercises -- Chapter 1 -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Index -- End User License Agreement.
520 _aA reader-friendly introduction to modern algebra with important examples from various areas of mathematics Featuring a clear and concise approach, An Introduction to Essential Algebraic Structures presents an integrated approach to basic concepts of modern algebra and highlights topics that play a central role in various branches of mathematics. The authors discuss key topics of abstract and modern algebra including sets, number systems, groups, rings, and fields. The book begins with an exposition of the elements of set theory and moves on to cover the main ideas and branches of abstract algebra. In addition, the book includes: Numerous examples throughout to deepen readers' knowledge of the presented material An exercise set after each chapter section in an effort to build a deeper understanding of the subject and improve knowledge retention Hints and answers to select exercises at the end of the book A supplementary website with an Instructors Solutions manual An Introduction to Essential Algebraic Structures is an excellent textbook for introductory courses in abstract algebra as well as an ideal reference for anyone who would like to be more familiar with the basic topics of abstract algebra.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aOrdered algebraic structures.
655 4 _aElectronic books.
700 1 _aKurdachenko, Leonid A.
700 1 _aSubbotin, Igor Ya.
776 0 8 _iPrint version:
_aDixon, Martyn R.
_tAn Introduction to Essential Algebraic Structures
_dSomerset : John Wiley & Sons, Incorporated,c2014
_z9781118459829
797 2 _aProQuest (Firm)
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=1834778
_zClick to View
999 _c42685
_d42685