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Finite Dimensional Vector Spaces by Halmos 1974 OLD VINTAGE MATHS MATHEMATICS
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Finite Dimensional Vector Spaces by Halmos 1974 OLD VINTAGE MATHS MATHEMATICS
US $17.25US $17.25
Oct 09, 06:05Oct 09, 06:05

Finite Dimensional Vector Spaces by Halmos 1974 OLD VINTAGE MATHS MATHEMATICS

US $17.25
ApproximatelyS$ 22.32
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Condition:
Very Good
Signed by previous owner, else all pages clean & unmarked. Please see photos for complete condition ... Read moreabout condition
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    eBay item number:388976471980
    Last updated on Oct 05, 2025 22:47:22 SGTView all revisionsView all revisions

    Item specifics

    Condition
    Very Good
    A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See all condition definitionsopens in a new window or tab
    Seller Notes
    “Signed by previous owner, else all pages clean & unmarked. Please see photos for complete condition ...
    Unit Type
    Unit
    Personalized
    No
    Country/Region of Manufacture
    United States
    Unit Quantity
    1
    ISBN
    9780387900933
    Category

    About this product

    Product Identifiers

    Publisher
    Springer New York
    ISBN-10
    0387900934
    ISBN-13
    9780387900933
    eBay Product ID (ePID)
    155769

    Product Key Features

    Number of Pages
    VIII, 202 Pages
    Publication Name
    Finite-Dimensional Vector Spaces
    Language
    English
    Subject
    Transformations, Algebra / General, Vector Analysis
    Publication Year
    1974
    Features
    Reprint
    Type
    Textbook
    Author
    P. R. Halmos
    Subject Area
    Mathematics
    Series
    Undergraduate Texts in Mathematics Ser.
    Format
    Hardcover

    Dimensions

    Item Height
    0.3 in
    Item Weight
    37 Oz
    Item Length
    9.3 in
    Item Width
    6.1 in

    Additional Product Features

    Edition Number
    2
    Intended Audience
    Scholarly & Professional
    LCCN
    74-010688
    Reviews
    "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity.  The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher".   Zentralblatt fuer Mathematik, "This is a classic but still useful introduction to modern linear algebra. It is primarily about linear transformations ... . It's also extremely well-written and logical, with short and elegant proofs. ... The exercises are very good, and are a mixture of proof questions and concrete examples. The book ends with a few applications to analysis ... and a brief summary of what is needed to extend this theory to Hilbert spaces." (Allen Stenger, MAA Reviews, maa.org, May, 2016) "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher." Zentralblatt für Mathematik, "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher." Zentralblatt für Mathematik
    Number of Volumes
    1 vol.
    Illustrated
    Yes
    Edition Description
    Reprint
    Table Of Content
    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.
    Synopsis
    "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher". Zentralblatt fuer Mathematik, "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all, this is an excellent work, of equally high value for both student and teacher." Zentralblatt f r Mathematik, "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all, this is an excellent work, of equally high value for both student and teacher." Zentralblatt für Mathematik, "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher." Zentralblatt für Mathematik
    LC Classification Number
    QA150-272

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    Dinah Moe's is a small operation run by an algorithm-less human with an obsession for books. I specialize mainly in academic titles and rare, out-of-print books. I have a masters in biophysics, so if ...
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    • b***o (72)- Feedback left by buyer.
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      Transaction to delivery was quick. I was worried about the box being wet (it was raining when delivered) but the item was packed well and prevented the book from being wet. The item itself was as described. Overall a pleasant transaction. Will do business again :)
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      Excellent USA seller with superb packaging and quick undamage delivery in the UK by Royal Mail. Book in effectively "as new" condition and better than described, also excellent value-for-money for a scarce book, especially in this condition! A 'top-drawer' seller and highly recommended. Many thanks indeed! PS for the benefit of Ebay's 'Nanny' tick boxes: Top quality and Appearance.
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      Outstandingly fine experience in this purchase from Dinah Moe's Bookshop! The century-plus book was so carefully packaged, arrived well before I was expecting it and was in phenomenally great condition. I truly appreciated the kindness in the communication and in the timely responses. As anticipated the content of the book proved to be very helpful for my research too. Thank you so very much for your help! It was worth it, despite the terrible Global Shipping Program.
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