Theory of Determinants & Their Applications by Robert Scott
Theory of Determinants & Their Applications - Table of Contents
- 1. Introduction
- 2. Definitions and Notation Alternate Numbers
- 3. General Properties of Determinants
- 4. On the Minors and on the Expansion of a Determinant
- 5. Composition of Arrays, Multiplication of Determinants
- 6. Determinants of Compound Systems
- 7. Arithmetical Properties of Determinants. Elementary Factors
- 8. Determinants of Special Forms
- 9. Cubic Determinants, and Determinants with Multiple Suffixes
- 10. Determinants of Infinite Order
What You Will Learn in Theory of Determinants & Their Applications
The Theory of Determinants and Their Applications by Robert Forsyth Scott (revised by G. B. Mathews) is a celebrated mathematical classic exploring the fundamental properties and computational methods of determinantal algebra. Serving as an essential reference, this volume provides a robust framework for determinant theory problem solving practice.
The book systematically covers fundamental properties of determinants, expansion theorems, symmetric and skew-symmetric determinants, Jacobi's identity, linear equations, and geometric applications to bilinear and quadratic forms. By combining structural elegance with rigorous proofs, Scott enables readers to execute essential determinant evaluations and matrix transformations with complete logical accuracy.
Widely admired in classical algebra literature for its depth, historic clarity, and comprehensive exercise sets, this treatise remains a vital resource for mathematicians and researchers. Scott’s systematic methodology arms learners with the foundational tools necessary for mastering modern linear algebra principles.
Book Details & Specifications
Title:
Theory of Determinants & Their Applications by Robert Scott
Publisher:
Cambridge University Press
Year:
1904
Pages:
308
Type:
PDF
Language:
English
ISBN-10 #:
1020694661
ISBN-13 #:
978-1020694660
License:
Public Domain Work
Amazon:
Amazon
About the Author: Sir Robert Forsyth Scott
The author Sir Robert Forsyth Scott
(1849–1933) was a distinguished British mathematician, barrister, and Master of St John's College, Cambridge, who contributed significantly to classical algebra and determinants.
Co-revised by G. B. Mathews, Professor of Mathematics at University College of North Wales, their collaborative work produced timeless determinant theory and linear algebra study guides.
Read or Downloadable Theory of Determinants & Their Applications
Free Matrix Algebra Books PDF - Linear & Matrix Methods