Fundamentals of Linear Algebra Fundamentals of Linear Algebra
Textbooks in Mathematics

Fundamentals of Linear Algebra

    • $999.00
    • $999.00

Descripción editorial

Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book proves it for any given vector space.

With his experience in algebraic geometry and commutative algebra, the author defines the dimension of a vector space as its Krull dimension. By doing so, most of the facts about bases when the dimension is finite, are trivial consequences of this definition. To name one, the replacement theorem is no longer needed. It becomes obvious that any two bases of a finite dimensional vector space contain the same number of vectors. Moreover, this definition of the dimension works equally well when the geometric objects are nonlinear.

Features: Presents theories and applications in an attempt to raise expectations and outcomes The subject of linear algebra is presented over arbitrary fields Includes many non-trivial examples which address real-world problems

GÉNERO
Ciencia y naturaleza
PUBLICADO
2018
7 de diciembre
IDIOMA
EN
Inglés
EXTENSIÓN
240
Páginas
EDITORIAL
CRC Press
VENDEDOR
Taylor & Francis Group
TAMAÑO
10.7
MB

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