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140122 ||| eng |
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|a 9783642992346
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|a MacDuffee, Cyrus Colton
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| 245 |
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|a The Theory of Matrices
|h Elektronische Ressource
|c by Cyrus Colton MacDuffee
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| 250 |
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|a 1st ed. 1933
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1933, 1933
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| 300 |
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|a V, 111 p
|b online resource
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|a I. Matrices, Arrays and Determinants -- 1. Linear algebra -- 2. Representation by ordered sets -- 3. Total matric algebra -- 4. Diagonal and scalar matrices -- 5. Transpose. Symmetric and skew matrices -- 6. Determinants -- 7. Properties of determinants -- 8. Rank and nullity -- 9. Identities among minors -- 10. Reducibility -- 11. Arrays and determinants of higher dimension -- 12. Matrices in non-commutative systems -- II. The characteristic equation -- 13. The minimum equation -- 14. The characteristic equation -- 15. Determination of the minimum equation -- 16. Characteristic roots -- 17. Conjugate sets -- 18. Limits for the characteristic roots -- 19. Characteristic roots of unitary matrices -- III. Associated Integral Matrices -- 20. Matrices with elements in a principal ideal ring -- 21. Construction of unimodular matrices -- 22. Associated matrices -- 23. Greatest common divisors -- 24. Linear form moduls -- 25. Ideals -- IV. Equivalence -- 26. Equivalent matrices --
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|a 27. Invariant factors and elementary divisors -- 28. Factorization of a matrix -- 29. Polynomial domains -- 30. Equivalent pairs of matrices -- 31. Automorphic transformations -- V. Congruence -- 32. Matrices with elements in a principal ideal ring -- 33. Matrices with rational integral elements -- 34. Matrices with elements in a field -- 35. Matrices in an algebraically closed field -- 36. Hermitian matrices -- 37. Automorphs -- VI. Similarity -- 38. Similar matrices -- 39. Matrices with elements in a field -- 40. Weyr’s characteristic -- 41. Unitary and orthogonal equivalence -- 42. The structure of unitary and orthogonal matrices -- VII. Composition of matrices -- 43. Direct sum and direct product -- 44. Product-matrices and power-matrices -- 45. Adjugates -- VIII. Matric equations -- 46. The general linear equation -- 47. Scalar equations -- 48.The unilateral equation -- IX. Functions of Matrices -- 49. Power series in matrices -- 50. Functions of matrices --
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|a 51. Matrices whose elements are functions of complex variables -- 52. Derivatives and integrals of matrices -- X. Matrices of infinite order -- 53. Infinite determinants -- 54. Infinite matrices -- 55. A matric algebra of infinite order -- 56. Bounded matrices -- 57. Matrices with a non-denumerable number of rows and colums
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| 653 |
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|a Algebra
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| 041 |
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|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Ergebnisse der Mathematik und Ihrer Grenzgebiete. 1. Folge
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| 028 |
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|a 10.1007/978-3-642-99234-6
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| 856 |
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|u https://doi.org/10.1007/978-3-642-99234-6?nosfx=y
|x Verlag
|3 Volltext
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|a 512
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