Advanced Linear and Matrix Algebra

Name: Advanced Linear and Matrix Algebra
Brand: Springer Nature Switzerland AG
SKU: 9783030528171
Price: 49.44 EUR
Availability: InStock

Autor: Nathaniel Johnston

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer Nature Switzerland AG

Dostupnosť: Skladom u dodávateľa v malom množstve

Odosielame za 13-18 dní

49.44 €

This textbook emphasizes the interplay between algebra and geometry to motivate the study of advance...

Informácie o knihe

Autor

Nathaniel Johnston

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2022

Stránok

494

EAN

9783030528171

Enbook ID

39202942

Vydavateľ

Springer Nature Switzerland AG

Hmotnosť

954

Rozmery

252 x 177 x 35

Kompletný popis

This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. Building on a first course in linear algebra, this book offers readers a deeper understanding of abstract structures, matrix decompositions, multilinearity, and tensors. Concepts draw on concrete examples throughout, offering accessible pathways to advanced techniques.Beginning with a study of vector spaces that includes coordinates, isomorphisms, orthogonality, and projections, the book goes on to focus on matrix decompositions. Numerous decompositions are explored, including the Shur, spectral, singular value, and Jordan decompositions. In each case, the author ties the new technique back to familiar ones, to create a coherent set of tools. Tensors and multilinearity complete the book, with a study of the Kronecker product, multilinear transformations, and tensor products. Throughout, "Extra Topic" sections augment the core content with a wide range of ideas and applications, from the QR and Cholesky decompositions, to matrix-valued linear maps and semidefinite programming. Exercises of all levels accompany each section.

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Advanced Linear and Matrix Algebra

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