Brief, clear, and well written, this introduction to abstract algebra bridges the gap between the solid ground of traditional algebra and the abstract territory of modern algebra. The only prerequisite is high school-level algebra.
Author W. W. Sawyer begins with a very basic viewpoint of abstract algebra, using simple arithmetic and elementary algebra. He then proceeds to arithmetic and polynomials, slowly progressing to more complex matters: finite arithmetic, an analogy between integers and polynomials, an application of the analogy, extending fields, and linear dependence and vector spaces. Additional topics include algebraic calculations with vectors, vectors over a field, and fields regarded as vector spaces. The final chapter proves that angles cannot be trisected by Euclidean means, using a proof that shows how modern algebraic concepts can be used to solve an ancient problem. Exercises appear throughout the book, with complete solutions at the end.
Procurando A Concrete Approach to Abstract Algebra? Aqui você encontra tudo sobre este livro de W W Sawyer, publicado por Dover Publications. Nesta página estão a descrição da obra, os detalhes da edição (240 páginas) e os formatos disponíveis para baixar: pdf, ibook, epub, kindle. Se você gosta de Livros Internacionais, Ciências Tecnológicas, Matemática, Matemática Pura, Álgebra, Abstrata, explore também outros títulos da mesma categoria no Porto do livro Português. Veja ainda as outras obras de W W Sawyer em nosso catálogo.
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