Matrices and Determinoids 2 by Cuthbert Cullis
Matrices and Determinoids 2 - Table of Contents
12. Compound Matrices
13. Relations Between the Elements and Minor Determinants of a Matrix
14. Some Properties of Square Matrices
15. Rank Conditions and Solutions of Matrix Equations
16. Equigradent Transformations of Matrices
17. Some Matrix Equations of the Second Degree
18. The Extravagances of Matrices and Spacelets in Homogeneous Space
19. The Paratomy and Orthotomy of Matrices and Spacelets in Homogeneous Space
What You Will Learn in Matrices and Determinoids 2
"Matrices and Determinoids, Volume II" by "Cuthbert Edmund Cullis" is the second part of his important "three-volume series" on matrix theory. This volume builds directly on the foundations laid in Volume I and moves deeper into the theoretical development of "determinoids", Cullis’s generalization of determinants. The book reflects the classical style of early 20th-century algebra, focusing on structure, definitions, and proofs rather than practical computation.
In this volume, Cullis expands the theory of "matrices" and determinoids by studying more complex constructions and algebraic relationships. He examines compound and derived forms, transformation properties, and identities involving products of matrices. Special attention is given to how determinoids behave under different matrix operations, offering a broader and more flexible framework than traditional determinant theory. The exposition is detailed and systematic, intended for readers with a strong background in algebra.
Overall, Volume II strengthens the conceptual framework of "linear algebra" developed in the series. It plays a key role in connecting foundational ideas with more advanced structures that appear later in the third volume. Today, the book is valued mainly for its "historical significance" and its contribution to the early theoretical development of "matrix theory" and "determinant generalization", making it especially useful for advanced readers and historians of mathematics.
Book Details & Specifications
Title:
Matrices and Determinoids 2 by Cuthbert Cullis
Publisher:
Cambridge University Press
Year:
1913
Pages:
588
Type:
PDF
Language:
English
ISBN-10 #:
1019750979
ISBN-13 #:
978-1019750971
License:
Public Domain Work
Amazon:
Amazon
About the Author: Cuthbert Edmund Cullis
The author
Cuthbert Edmund Cullis
(1875–1954) was a British mathematician known for his work in "matrix theory", "determinoids", and early "linear algebra". Educated at Cambridge University, he later became a professor at the University of Calcutta, where he developed much of his influential research in algebra.
Read or Downloadable Matrices and Determinoids 2
Free Matrix Algebra Books PDF | Download Matrix Theory Notes