Matrices and Determinoids 3 by Cuthbert Edmund Cullis
Matrices and Determinoids 3 - Table of Contents
20. The Irresoluble and Irreducible Factors of Rational Integral Functions
21. Resultants and Eliminants of Rational Integral Functions and Equations
22. Symmetric Functions of the Elements of Similar Sequences
23. The Potent Divisors of a Rational Integral Functional Matrix
24. Equipotent Tranformations of Rational Integral Functional Matrices
25. Rational Integral Functions of a Square Matrix
26. Equimutant Tranformations of a Square Matrix Whose Elemnets are Constatns
27. Commutants
What You Will Learn in Matrices and Determinoids 3
"Matrices and Determinoids, Volume 3" by "Cuthbert Edmund Cullis" is the final volume of a classic mathematical series devoted to the theoretical foundations of matrix theory. Building on the earlier volumes, this book completes Cullis’s systematic study of "matrices" and his original concept of "determinoids", which extend classical determinants to more general cases. The work reflects an early 20th-century approach, emphasizing rigor, structure, and logical development rather than practical computation.
This volume focuses on advanced properties and identities of determinoids and their relationship to matrix rank, linear dependence, and systems of linear equations. Cullis carefully develops proofs and algebraic arguments that help unify determinant theory with broader matrix concepts. Readers gain insight into how these ideas were understood and formalized before the modern abstract language of "linear algebra" became standard.
Historically, the book is important for showing the evolution of "generalized determinants" and their role in understanding matrix structure. While it is not written for beginners, it remains valuable for advanced students, researchers, and those interested in the history of "algebraic theory". Cullis’s work continues to be appreciated for its depth, originality, and contribution to the classical foundations of "matrix theory".
Book Details & Specifications
Title:
Matrices and Determinoids 3 by Cuthbert Edmund Cullis
Publisher:
Cambridge University Press
Year:
1925
Pages:
706
Type:
PDF
Language:
English
ISBN-10 #:
1107414261
ISBN-13 #:
978-1107414266
License:
Public Domain Work
Amazon:
Amazon
About the Author: Cuthbert Edmund Cullis
The author
Cuthbert Edmund Cullis
(1875–1951) was a British mathematician known for his deep work in "matrix theory" and for introducing "determinoids", a generalization of classical determinants. Educated at Cambridge, he later became a professor at the University of Calcutta, contributing significantly to advanced mathematical education.
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