Determinants and Their Applications in Mathematical Physics

A.13 Muir and Metzler, A Treatise on the Theory of Determinants 341

A.13 Muir and Metzler, A Treatise on the Theory

of Determinants

A Table of Contents

1. Permutations and combinations


2. Definitions and notations


3. General properties


4. Minors and expansions


5. Multiplication


6. Compound determinants


7. Rectangular arrays


8. Elimination


9. Bipartites


10. Aggregates


11. Alternants


12. Symmetric determinants:

i. centrosymmetric and skew-centrosymmetric

ii. axisymmetric, zero-axial skew, skew, persymmetric, circulants,

and block circulants

iii.Aggregates

13. Continuants


14. Orthogonants


15. Determinantal equations


16. Jacobians


17. Hessians


18. Wronskians


19. Bordered determinants


20. Determinants whose elements are combinatory numbers


21. Recurrents


22. Invariant factors


23. Multilineants


24. Determinants of higher class


25. Less common forms