46
Your Cart
46
Your Cart

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.

X

New item(s) have been added to your cart.

Frequently bought with The Art of Computer Programming, Volumes 1-4A


Concrete Mathematics: A Foundation for Computer Science Original price was: $59.99.Current price is: $19.99.
View more
View more
Mathematical Logic and Computation Original price was: $79.99.Current price is: $19.99.
View more
View more
Essential Math for AI: Next-Level Mathematics for Efficient and Successful AI Systems Original price was: $79.99.Current price is: $19.99.
View more
Practical Statistics for Data Scientists: 50+ Essential Concepts Using R and Python Original price was: $49.99.Current price is: $19.99.
View more
Programming for Problem-Solving with C: Formulating Algorithms for Complex Problems Original price was: $79.99.Current price is: $19.99.
View more
View more
Cart