Comprehensive Linear Algebra 2 by Broida & Williamson
Comprehensive Linear Algebra 2 - Table of Contents
9. Linear Forms
10. Linear Operators
11. Multilinear Mappings and Tensors
12. Hilbert Spaces
What You Will Learn in Comprehensive Linear Algebra 2
"A Comprehensive Introduction to Linear Algebra (Volume 2: Polynomials and Canonical Forms)" by "Joel Broida" and "S. G. Williamson" continues the development of linear algebra beyond basic concepts. This volume is written for students who already understand vectors and matrices and are ready to explore the deeper structure of linear transformations. The authors maintain a clear and logical style, making abstract ideas easier to follow.
Volume 2 focuses on "polynomials of linear operators", showing how algebraic tools help analyze linear systems. Key topics include "eigenvalues", "eigenvectors", minimal and characteristic polynomials, and the theory behind matrix representations. The book carefully explains why these ideas matter, not just how to compute them. Special attention is given to understanding structure rather than memorizing procedures.
A major highlight of this volume is its detailed treatment of "canonical forms", including rational and Jordan canonical forms. These concepts help classify linear transformations and simplify complex problems. Designed for upper-level undergraduates and motivated self-learners, Volume 2 prepares readers for advanced courses in algebra and applied mathematics. It is a rigorous yet readable guide to the theoretical heart of "linear algebra".
Book Details & Specifications
Title:
Comprehensive Linear Algebra 2 by Broida & Williamson
Publisher:
Addison-Wesley
Year:
2012
Pages:
217
Type:
PDF
Language:
English
ISBN-10 #:
0201500655
ISBN-13 #:
978-0201500653
License:
CC0 1.0
Amazon:
Amazon
About the Author: Joel Gilbert Broida, Samuel Gill Williamson
The author
Joel Gilbert Broida, Samuel Gill Williamson
is a mathematician recognized for his clear and structured approach to teaching "Linear Algebra". His work emphasizes logical explanations and strong theoretical foundations, helping students understand complex topics such as "Polynomials" and matrix structures with confidence and clarity. "S. Gill Williamson" is a Professor Emeritus at the University of California, San Diego, with extensive experience in mathematics and computer science. His academic work covers "Canonical Forms", "Matrices", and abstract algebra. Together, the authors combine rigor with readability, making advanced linear algebra accessible to undergraduate students.
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