Finite - Dimensional Vector Spaces. - gebrauchtes Buch

EAN (ISBN-13): 9780387900933
ISBN (ISBN-10): 0387900934
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2007
Herausgeber: Springer Verlag
212 Seiten
Gewicht: 0,485 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-06-06T00:50:24+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-27T09:44:05+01:00 (Berlin)
ISBN/EAN: 9780387900933

ISBN - alternative Schreibweisen:
0-387-90093-4, 978-0-387-90093-3
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: halmos, paul, von neumann
Titel des Buches: texts, vector spaces finite dimension, finite mathematics, finite dimensional vector spaces, space mathematics, undergraduate text

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Daten vom Verlag:

Autor/in: P.R. Halmos
Titel: Undergraduate Texts in Mathematics; Finite-Dimensional Vector Spaces
Verlag: Springer; Springer US
202 Seiten
Erscheinungsjahr: 1974-01-01
New York; NY; US
Sprache: Englisch
48,10 € (DE)
49,45 € (AT)
69,13 CHF (CH)
Available
VIII, 202 p.

BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Endlichdimensionaler Vektorraum; Finite; Morphism; Parity; Permutation; Transformation; Vector; calculus; function; mathematics; theorem; Algebra; BC

I. Spaces.- 1. Fields.- 2. Vector spaces.- 3. Examples.- 4. Comments.- 5. Linear dependence.- 6. Linear combinations.- 7. Bases.- 8. Dimension.- 9. Isomorphism.- 10. Subspaces.- 11. Calculus of subspaces.- 12. Dimension of a subspace.- 13. Dual spaces.- 14. Brackets.- 15. Dual bases.- 16. Reflexivity.- 17. Annihilators.- 18. Direct sums.- 19. Dimension of a direct sum.- 20. Dual of a direct sum.- 21. Quotient spaces.- 22. Dimension of a quotient space.- 23. Bilinear forms.- 24. Tensor products.- 25. Product bases.- 26. Permutations.- 27. Cycles.- 28. Parity.- 29. Multilinear forms.- 30. Alternating forms.- 31. Alternating forms of maximal degree.- II. Transformations.- 32. Linear transformations.- 33. Transformations as vectors.- 34. Products.- 35. Polynomials.- 36. Inverses.- 37. Matrices.- 38. Matrices of transformations.- 39. Invariance.- 40. Reducibility.- 41. Projections.- 42. Combinations of pro¬jections.- 43. Projections and invariance.- 44. Adjoints.- 45. Adjoints of projections.- 46. Change of basis.- 47. Similarity.- 48. Quotient transformations.- 49. Range and null-space.- 50. Rank and nullity.- 51. Transformations of rank one.- 52. Tensor products of transformations.- 53. Determinants.- 54. Proper values.- 55. Multiplicity.- 56. Triangular form.- 57. Nilpotence.- 58. Jordan form.- III. Orthogonality.- 59. Inner products.- 60. Complex inner products.- 61. Inner product spaces.- 62. Orthogonality.- 63. Completeness.- 64. Schwarz’s inequality.- 65. Complete orthonormal sets.- 66. Projection theorem.- 67. Linear functionals.- 68. Parentheses versus brackets.- 69. Natural isomorphisms.- 70. Self-adjoint transformations.- 71. Polarization.- 72. Positive transformations.- 73. Isometries.- 74. Change of orthonormal basis.- 75. Perpendicular projections.- 76. Combinations of perpendicular projections.- 77. Complexification.- 78. Characterization of spectra.- 79. Spectral theorem.- 80. Normal transformations.- 81. Orthogonal transformations.- 82. Functions of transformations.- 83. Polar decomposition.- 84. Commutativity.- 85. Self-adjoint transformations of rank one.- IV. Analysis.- 86. Convergence of vectors.- 87. Norm.- 88. Expressions for the norm.- 89. Bounds of a self-adjoint transformation.- 90. Minimax principle.- 91. Convergence of linear transformations.- 92. Ergodic theorem.- 93. Power series.- Appendix. Hilbert Space.- Recommended Reading.- Index of Terms.- Index of Symbols.