000			01607nam a22002417a 4500
008			240708b |||||||| |||| 00| 0 eng d
020			_a9780817645229 (PB)
041			_aeng
080			_a512 _bKNA
100			_aKnapp, Anthony W.
245			_aAdvanced Algebra _b: Along with a companion volume Basic Algebra
260			_aNew York _bBirkhäuser _c2007
300			_axxiv, 730p.
490			_aCornerstones
504			_aIncludes Index
505			_a 1. TRANSITION TO MODERN NUMBER THEORY 2. WEDDERBURN-ARTIN RING THEORY 3. BRAUER GROUP 4. HOMOLOGICAL ALGEBRA 5. REINTERPRETATION WITH ADELES AND IDELES 6. INFINITE FIELD EXTENSIONS 7. BACKGROUND FOR ALGEBRAIC GEOMETRY 8. THE NUMBER THEORY OF ALGEBRAIC CURVES 9. METHODS OF ALGEBRAIC GEOMETRY
520			_aBasic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and non commutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
650			_aTheory of Numbers
650			_aNumber Theory
650			_aAlgebraic Geometry
690			_aMathematics
942			_cBK
999			_c60508 _d60508