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Finite-dimensional vector spaces/ (Record no. 151718)

MARC details
000 -LEADER
fixed length control field	00346nam a2200133Ia 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9780387900933
040 ## - CATALOGING SOURCE
Transcribing agency	CUS
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	512.52
Item number	HAL/F
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name	Halmons, Paul R
245 #0 - TITLE STATEMENT
Title	Finite-dimensional vector spaces/
Statement of responsibility, etc.	Paul R. Halmos
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc.	New York:
Name of publisher, distributor, etc.	Springer,
Date of publication, distribution, etc.	1993.
300 ## - PHYSICAL DESCRIPTION
Extent	vii, 200 p. ;
Dimensions	24 cm.
440 ## - SERIES
Title	(University series in undergraduate mathematics)
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note	I. Spaces.- <br/>1. Fields.- <br/>2. Vector spaces.- <br/>3. Examples.- <br/>4. Comments.- <br/>5. Linear dependence.- <br/>6. Linear combinations.- <br/>7. Bases.- <br/>8. Dimension.- <br/>9. Isomorphism.- <br/>10. Subspaces.- <br/>11. Calculus of subspaces.- <br/>12. Dimension of a subspace.- <br/>13. Dual spaces.- <br/>14. Brackets.- <br/>15. Dual bases.- <br/>16. Reflexivity.- <br/>17. Annihilators.- <br/>18. Direct sums.- <br/>19. Dimension of a direct sum.- <br/>20. Dual of a direct sum.- <br/>21. Quotient spaces.- <br/>22. Dimension of a quotient space.- <br/>23. Bilinear forms.- <br/>24. Tensor products.- <br/>25. Product bases.- <br/>26. Permutations.- <br/>27. Cycles.- <br/>28. Parity.- <br/>29. Multilinear forms.- <br/>30. Alternating forms.- <br/>31. Alternating forms of maximal degree.- <br/><br/>II. Transformations.- <br/>32. Linear transformations.- <br/>33. Transformations as vectors.- <br/>34. Products.- <br/>35. Polynomials.- <br/>36. Inverses.- <br/>37. Matrices.- <br/>38. Matrices of transformations.- <br/>39. Invariance.- <br/>40. Reducibility.- <br/>41. Projections.- <br/>42. Combinations of projections.- <br/>43. Projections and invariance.- <br/>44. Adjoints.- <br/>45. Adjoints of projections.- <br/>46. Change of basis.- <br/>47. Similarity.- <br/>48. Quotient transformations.- <br/>49. Range and null-space.- <br/>50. Rank and nullity.- <br/>51. Transformations of rank one.- <br/>52. Tensor products of transformations.- <br/>53. Determinants.- <br/>54. Proper values.- <br/>55. Multiplicity.- <br/>56. Triangular form.- <br/>57. Nilpotence.- <br/>58. Jordan form.- <br/><br/>III. Orthogonality.- <br/>59. Inner products.- <br/>60. Complex inner products.- <br/>61. Inner product spaces.- <br/>62. Orthogonality.- <br/>63. Completeness.- <br/>64. Schwarz's inequality.- <br/>65. Complete orthonormal sets.- <br/>66. Projection theorem.- <br/>67. Linear functionals.- <br/>68. Parentheses versus brackets.- <br/>69. Natural isomorphisms.- <br/>70. Self-adjoint transformations.- <br/>71. Polarization.- <br/>72. Positive transformations.- <br/>73. Isometries.- <br/>74. Change of orthonormal basis.- <br/>75. Perpendicular projections.- <br/>76. Combinations of perpendicular projections.- <br/>77. Complexification.- <br/>78. Characterization of spectra.- <br/>79. Spectral theorem.- <br/>80. Normal transformations.- <br/>81. Orthogonal transformations.- <br/>82. Functions of transformations.- <br/>83. Polar decomposition.- <br/>84. Commutativity.- <br/>85. Self-adjoint transformations of rank one.- <br/><br/>IV. Analysis.- <br/>86. Convergence of vectors.- <br/>87. Norm.- <br/>88. Expressions for the norm.- <br/>89. Bounds of a self-adjoint transformation.- <br/>90. Minimax principle.- <br/>91. Convergence of linear transformations.- <br/>92. Ergodic theorem.- <br/>93. Power series.- <br/>Appendix. <br/>Hilbert Space.- <br/>Recommended Reading.- <br/>Index of Terms.- <br/>Index of Symbols
650 ## - SUBJECT
Keyword	Transformations (Mathematics)
650 ## - SUBJECT
Keyword	Vector spaces
650 ## - SUBJECT
Keyword	Logic, Symbolic and mathematical
650 ## - SUBJECT
Keyword	Mathematical models
650 ## - SUBJECT
Keyword	Generalized spaces
650 ## - SUBJECT
Keyword	Vector analysis
650 ## - SUBJECT
Keyword	Algebras, Linear
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type	General Books

Holdings
Withdrawn status	Lost status	Damaged status	Not for loan	Home library	Current library	Shelving location	Date acquired	Full call number	Accession number	Date last seen	Date last checked out	Koha item type
				Central Library, Sikkim University	Central Library, Sikkim University	General Book Section	28/08/2016	512.52 HAL/F	P06404	04/09/2019	04/09/2019	General Books