Theory of Determinants in the Historical Order of Development by Thomas Muir
Book Contents :-
1. Determinants in General
2. Determinants and Linear Equations
3. Axisymmetric Determinants
4. Symmetric Determinants That Are Not Axisymmetric
5. Alternants
6. Compound Determinants
7. Recurrents
8. Wronskians
9. Jacobians
10. Skew Determinants and Pfaffians
11. Orthogonants
12. Persymmetric Determinants
13. Bigradients
14. Hessians
15. Circulants
16. Continuants
17. Multilineants
18. Cubic and n-Dimensional Determinants
19. Bordered Determinants
20. Determinants Whose Elements Are Combinatory Numbers
21. Zero-Axial Determinants
22. The Less Common Special Forms
About this book :-
"Theory of Determinants in the Historical Order of Development" by Thomas Muir is a landmark mathematical work that traces the evolution of determinant theory from its earliest beginnings to advanced results. Instead of teaching formulas step by step, Muir presents determinants as a developing body of ideas, helping readers understand how the subject grew over time. The book is valued for its "historical depth", "scholarly accuracy", and "theoretical insight".
The text follows a chronological structure, examining contributions from many mathematicians and explaining how new methods and concepts emerged. Muir carefully connects discoveries, showing how each result influenced later work. This approach allows readers to see determinants not as isolated formulas, but as part of a broader mathematical tradition. The book is especially useful for advanced readers interested in "determinant theory", "classical algebra", and the foundations of "linear algebra".
Beyond its academic content, the book is a major contribution to mathematical history. It preserves original ideas, notation, and proofs that shaped the field. Today, it remains an essential reference for scholars studying "mathematical history", "research development", and the intellectual progress of determinant theory.
Book Detail :-
Title:
Theory of Determinants in the Historical Order of Development by Thomas Muir
Publisher:
Dover Publications
Year:
1920
Pages:
1078
Type:
PDF
Language:
English
ISBN-10 #:
0332703169
ISBN-13 #:
978-0332703169
License:
Public Domain Work
Amazon:
Amazon
About Author :-
The author
Thomas Muir
was a Scottish mathematician renowned for his lifelong work on determinant theory. He dedicated his career to researching, teaching, and documenting the subject, earning recognition for "scholarly depth", "historical accuracy", and "theoretical rigor". His work supports "determinant theory", "classical algebra", and the "history of mathematics", preserving the development of key ideas across generations.
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