ler totalmente Advanced Linear Algebra (Textbooks in Mathematics) (English Edition)

Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics.

The author begins with chapters introducing basic notation for vector spaces, permutations, polynomials, and other algebraic structures. The following chapters are designed to be mostly independent of each other so that readers with different interests can jump directly to the topic they want. This is an unusual organization compared to many abstract algebra textbooks, which require readers to follow the order of chapters.

Each chapter consists of a mathematical vignette devoted to the development of one specific topic. Some chapters look at introductory material from a sophisticated or abstract viewpoint, while others provide elementary expositions of more theoretical concepts. Several chapters offer unusual perspectives or novel treatments of standard results.

A wide array of topics is included, ranging from concrete matrix theory (basic matrix computations, determinants, normal matrices, canonical forms, matrix factorizations, and numerical algorithms) to more abstract linear algebra (modules, Hilbert spaces, dual vector spaces, bilinear forms, principal ideal domains, universal mapping properties, and multilinear algebra).

The book provides a bridge from elementary computational linear algebra to more advanced, abstract aspects of linear algebra needed in many areas of pure and applied mathematics.

Procurando Advanced Linear Algebra (Textbooks in Mathematics) (English Edition)? Aqui você encontra tudo sobre este livro de Nicholas A. Loehr, publicado por Chapman and Hall/CRC em 21 de junho de 2024. Nesta página estão a descrição da obra, os detalhes da edição (634 páginas) e os formatos disponíveis para baixar: pdf, epub, txt, djvu. Se você gosta de Livros Internacionais, Ciências Tecnológicas, Matemática, Matemática Pura, Álgebra, Linear, explore também outros títulos da mesma categoria no Encontrando os melhores livros. Veja ainda as outras obras de Nicholas A. Loehr em nosso catálogo.