Description: Advanced Linear and Matrix Algebra, Hardcover by Johnston, Nathaniel, ISBN 3030528146, ISBN-13 9783030528140, Like New Used, Free P&P in the UK
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 th. 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, th 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 th, 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.Advanced Linear and Matrix Algebra offers students of mathematics, data analysis, and beyond the essential tools and concepts needed for further study. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. A first course in proof-based linear algebra is assumed. An ideal preparation can be found in the author’s companion volume, Introduction to Linear and Matrix Algebra.
Price: 43.35 GBP
Location: Castle Donington
End Time: 2024-11-27T11:42:50.000Z
Shipping Cost: 20.02 GBP
Product Images
Item Specifics
Return postage will be paid by: Buyer
Returns Accepted: Returns Accepted
After receiving the item, your buyer should cancel the purchase within: 30 days
Book Title: Advanced Linear and Matrix Algebra
Item Height: 254 mm
Item Width: 178 mm
Author: Nathaniel Johnston
Publication Name: Advanced Linear and Matrix Algebra
Format: Hardcover
Language: English
Publisher: Springer Nature Switzerland A&G
Subject: Mathematics
Publication Year: 2021
Type: Textbook
Item Weight: 1250 g
Number of Pages: 494 Pages
