Download First course in abstract algebra: with applications eBook in PDF

(By Joseph J. Rotman)



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Format: PDF

Language: English

Publisher: Prentice Hall



This text introduces readers to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each. � Number Theory: Induction; Binomial Coefficients; Greatest Common Divisors; The Fundamental Theorem of Arithmetic Congruences; Dates and Days. Groups I: Some Set Theory; Permutations; Groups; Subgroups and Lagrange's Theorem; Homomorphisms; Quotient Groups; Group Actions; Counting with Groups. Commutative Rings I: First Properties; Fields; Polynomials; Homomorphisms; Greatest Common Divisors; Unique Factorization; Irreducibility; Quotient Rings and Finite Fields; Officers, Magic, Fertilizer, and Horizons. Linear Algebra: Vector Spaces; Euclidean Constructions; Linear Transformations; Determinants; Codes; Canonical Forms. Fields: Classical Formulas; Insolvability of the General Quintic; Epilog. Groups II: Finite Abelian Groups; The Sylow Theorems; Ornamental Symmetry. Commutative Rings III: Prime Ideals and Maximal Ideals; Unique Factorization; Noetherian Rings; Varieties; Grobner Bases. � For all readers interested in abstract algebra. From the Publisher Written as only Professor Rotman can pull off: spectacularly clear yet rigorous without condescension. This introduction to abstract algebra is designed to make the study of all required topics and the reading and writing of proofs both accessible and enjoyable for students encountering the subject for the first time. --This text refers to an out of print or unavailable edition of this title.



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Download First course in abstract algebra: with applications ebook
Download First course in abstract algebra: with applications ebook pdf
Download First course in abstract algebra: with applications ebook djvu
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First course in abstract algebra: with applications ebook
First course in abstract algebra: with applications ebook pdf
First course in abstract algebra: with applications ebook djvu
First course in abstract algebra: with applications ebook chm
Joseph J. Rotman ebooks