A Treatise on the Theory of DeterminantsCourier Corporation, 1 de gen. 2003 - 766 pàgines One of the few comprehensive single-volume treatments of determinants, this compilation features nearly all of the known facts about determinants up to the early 1930s. The text explores permutations and combinations; general principles of simple determinants; compound determinants; co-factors; adjugates; rectangular arrays and matrices; linear dependence; more. Includes 485 problems, plus numerous examples. |
Continguts
Section I Permutations | 7 |
Definitions and Notations | 13 |
General Properties | 23 |
Minors and Expansions | 53 |
Compound Determinants | 67 |
Bipartites | 295 |
Aggregates | 313 |
Alternants | 321 |
Determinantal Equations | 603 |
Jacobians | 635 |
Hessians | 654 |
Wronskians | 662 |
Bordered Determinants | 673 |
Chapter XX | 679 |
Chapter XXI | 700 |
Chapter XXII | 734 |
Symmetric Determinants | 364 |
Continuants | 516 |
Orthogonants | 566 |
Chapter XXIII | 742 |
Less common Forms | 757 |
Altres edicions - Mostra-ho tot
A Treatise on the Theory of Determinants: With Graduated Sets of Exercises ... Sir Thomas Muir Visualització completa - 1882 |
A Treatise on the Theory of Determinants: With Graduated Sets of Exercises ... Sir Thomas Muir Visualització completa - 1882 |
Frases i termes més freqüents
a1 b₂ a₁ b₂ c3 a12 ain adjugate array axisymmetric determinant b₁ b₂ b₂ c3 d₁ bipartite c₁ c₂ circulant coaxial minors coefficients cofactor complementary minor conjugate contain d₂ denote determinant of order diagonal elements eliminant equal equations expansion expressible factors follows function h₁ h₂ hence identity Jacobian k₂ kth column linear locant m-line matrix minors of order multiplication theorem multiplying n\ma n₂ nth order number of inversions obtained odd order orthogonant permutations persymmetric Pfaffian primary minors principal diagonal readily seen respectively resulting determinant root of unity roots rows and columns Show Similarly square subtracting suffixes symmetric symmetric function taking theorem values vanish variables Wronskian y₁ zero zero-axial skew determinant αι απ βε βι γι θα Σ Σ Σα аз дак ხვ