Basic Algebra

Livro digital

Título:
Basic Algebra

Autor:
Anthony W. Knapp

Categoria:
Tecnologia > Geral

Doador:
Raffaello D. N.

Sinopse:
A reader who knows the basic moves of algebra but wants the real structure behind them will find this book moving methodically from division algorithms and unique factorization to vector spaces, determinants, and Jordan canonical form. The table of contents shows that the path is not rushed: it begins with integers, polynomials, and matrices, then builds toward groups, rings, fields, and Galois theory. The coverage is broad and tightly connected. Along the way, the book treats inner-product spaces, multilinear algebra, free groups, semisimple modules, localization, Dedekind domains, and the fundamental theorem of Galois theory. The chapter sequence makes clear that this is a unified algebra text, not a loose collection of topics, and that it balances computation with proof. For a serious student, the payoff is a reliable map of modern algebra's core ideas, with enough depth to bridge linear algebra and abstract structure. The book's scope, from elementary number-theoretic preliminaries through advanced module theory and field extensions, makes it especially useful as a long-form course text or reference for readers ready to work carefully.