Items related to Advanced Algebra (Cornerstones)
Synopsis
Basic 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 noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Together the two books give the reader a global view of algebra, its role in mathematics as a whole and are suitable as texts in a two-semester advanced undergraduate or first-year graduate sequence in algebra.
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From the Back Cover
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole.
Key topics and features of Advanced Algebra:
*Topics build upon the linear algebra, group theory, factorization of ideals, structure of fields, Galois theory, and elementary theory of modules as developed in Basic Algebra
*Chapters treat various topics in commutative and noncommutative algebra, providing introductions to the theory of associative algebras, homological algebra, algebraic number theory, and algebraic geometry
*Sections in two chapters relate the theory to the subject of Gröbner bases, the foundation for handling systems of polynomial equations in computer applications
*Text emphasizes connections between algebra and other branches of mathematics, particularly topology and complex analysis
*Book carries on two prominent themes recurring in Basic Algebra: the analogy between integers and polynomials in one variable over a field, and the relationship between number theory and geometry
*Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems
*The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; it includes blocks of problems that illuminate aspects of the text and introduce additional topics
Advanced Algebra presents its subject matter in a forward-looking way that takes into account the historical development of the subject. It is suitable as a text for the more advanced parts of a two-semester first-year graduate sequence in algebra. It requires of the reader only a familiarity with the topics developed in Basic Algebra.
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Advanced Algebra. (= Cornerstones).
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Boston, Mass. ; Basel ; Berlin : Birkhäuser c 2007., 2007
ISBN 10: 0817645225
ISBN 13: 9780817645229
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Advanced Algebra: Along with a Companion Volume 'Basic Algebra' (Cornerstones)
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Boston. Birkhäuser., 2007
ISBN 10: 0817645225
ISBN 13: 9780817645229
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Advanced Algebra
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Advanced Algebra
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Advanced Algebra
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Advanced Algebra
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Focuses on algebraic number theory and algebraic geometry, and the distinctions and influences of each topic on the otherPresents material vital to the knowledge of the professional mathematicianComprehensive text ideal for the classroom or. Seller Inventory # 447088418
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Advanced Algebra
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Birkhäuser, Birkhäuser Nov 2007, 2007
ISBN 10: 0817645225
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Basic 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 noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Together the two books give the reader a global view of algebra, its role in mathematics as a whole and are suitable as texts in a two-semester advanced undergraduate or first-year graduate sequence in algebra. 756 pp. Englisch. Seller Inventory # 9780817645229
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Advanced Algebra
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Advanced Algebra
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Birkhäuser, Birkhäuser Nov 2007, 2007
ISBN 10: 0817645225
ISBN 13: 9780817645229
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. The focus is on algebraic number theory and algebraic geometry, and the distinctions and influences of each topic on the other. Material vital to the knowledge of the professional mathematician is presented. Advanced Algebra presents its subject matter in a forward-looking way that takes into account the historical development of the subject. Together the two books give the reader a global view of algebra and its role in mathematics as a whole. They are suitable as texts in a two-semester advanced undergraduate or first-year graduate sequence in algebra.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 756 pp. Englisch. Seller Inventory # 9780817645229
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Advanced Algebra
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