Advanced Linear and Matrix Algebra

Advanced Linear and Matrix Algebra by Nathaniel Johnston


ISBN
9783030528171
Published
Binding
Paperback
Pages
494
Dimensions
178 x 254mm

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.

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.
EOFY 2025 Book Frenzy
96.04
RRP: $112.99
15% off RRP


This product is unable to be ordered online. Please check in-store availability.
Instore Price: $112.99
Enter your Postcode or Suburb to view availability and delivery times.

Other Titles by Nathaniel Johnston


You might also like

Simply Maths
19.99
16.99
15% Off
Adam Spencers Maths 101
35.00
16.00
54% Off
Speed Mathematics 3rd Ed
22.95
19.51
15% Off
Humble Pi
24.99
21.24
15% Off

RRP refers to the Recommended Retail Price as set out by the original publisher at time of release.
The RRP set by overseas publishers may vary to those set by local publishers due to exchange rates and shipping costs.
Due to our competitive pricing, we may have not sold all products at their original RRP.