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Advanced Linear Algebra by David Surowski




Advanced Linear Algebra - Table of Contents

  • 1. Basics
  • 2. Eigenvalues and Eigenvectors
  • 3. The Spectral Theorem
  • 4. Tensor Products
  • 5. Fourier Analysis and Quadratic Reciprocity

What You Will Learn in Advanced Linear Algebra

Advanced Linear Algebra by David Surowski is a rigorous graduate-level textbook designed to deepen conceptual understanding beyond elementary matrix operations. Serving as an authoritative reference, this volume provides a robust framework for advanced linear algebra problem solving practice.

The book systematically covers vector spaces, modules, linear transformations, dual spaces, inner product spaces, spectral theory, Jordan canonical forms, and multilinear algebra including tensor products. By combining geometric intuition with formal structural algebra, Surowski enables advanced students to execute essential vector space decompositions and tensor calculations with complete logical precision.

Treasured in advanced university courses for its mathematical elegance, detailed proofs, and challenging exercise sets, this textbook serves as a complete learning guide. Surowski’s structured teaching approach arms learners with indispensable tools required for mastering modern linear algebra principles.

Book Details & Specifications

Title: Advanced Linear Algebra by David Surowski
Publisher: Kansas State University
Year: 2002
Pages: 157
Type: PDF
Language: English
ISBN-10 #: 1482248840
ISBN-13 #: 978-1482248845
License: University Educational Resource
Amazon: Amazon

About the Author: David B. Surowski

The author David B. Surowski was a Professor of Mathematics at Kansas State University, recognized for his expertise in group theory, representation theory, and advanced linear algebra.

Throughout his academic career, Professor Surowski authored clear and rigorous graduate-level instructional texts, equipping students worldwide with essential abstract algebra and matrix theory study guides.


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