Advanced Algebra : Along with a companion volume Basic Algebra
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The work Advanced Algebra : Along with a companion volume Basic Algebra represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Advanced Algebra : Along with a companion volume Basic Algebra
Resource Information
The work Advanced Algebra : Along with a companion volume Basic Algebra represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Advanced Algebra : Along with a companion volume Basic Algebra
 Title remainder
 Along with a companion volume Basic Algebra
 Statement of responsibility
 by Anthony W. Knapp
 Language

 eng
 eng
 Summary
 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 forwardlooking way that takes into account the historical development of the subject. It is suitable as a text for the more advanced parts of a twosemester firstyear graduate sequence in algebra. It requires of the reader only a familiarity with the topics developed in Basic Algebra
 Dewey number
 512.74
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 XuE_clwVb9Y
 Language note
 English
 LC call number
 QA150272
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Cornerstones,
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