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" Linear algebra through geometry / "
Thomas Banchoff, John Wermer
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BL
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| Record Number
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666491
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dltt
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| Main Entry
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Banchoff, Thomas
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| Title & Author
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Linear algebra through geometry /\ Thomas Banchoff, John Wermer
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| Edition Statement
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2nd ed
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| Publication Statement
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New York :: Springer-Verlag,, c1992
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| Series Statement
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Undergraduate texts in mathematics
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| Page. NO
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xii, 305 p. :: ill. ;; 24 cm
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| ISBN
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0387975861
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: 9780387975863
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: 9781461287520
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: 1461287529
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: 3540975861
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: 9783540975861
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| Notes
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Includes index
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| Contents
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1.0 Vectors in the line -- 2.0 The geometry of vectors in the plane -- 2.1 Transformations of the plane -- 2.2 Linear transformations and matrices -- 2.3 Sums and products of linear transformations -- 2.4 Inverses and systems of equations -- 2.5 Determinants -- 2.6 Eigenvalues -- 2.7 Classification of conic sections -- 3.0 Vector geometry in 3-space -- 3.1 Transformations of 3-space -- 3.2 Linear transformations and matrices -- 3.3 Sums and products of linear transformations -- 3.4 Inverses and systems of equations -- 3.5 Determinants -- 3.6 Eigenvalues -- 3.7 Symmetric matrices -- 3.8 Classification of quadric surfaces -- 4.0 Vector geometry in n-space, n>=4 -- 4.1 Transformations of n-space, n>=4 -- 4.2 Linear transformations and matrices -- 4.3 Homogeneous systems of equations in n-space -- 4.4 Inhomogeneous systems of equations in n-space -- 5.0 Vector spaces -- 5.1 Bases and dimensions -- 5.2 Existence and uniqueness of solutions -- 5.3 The matrix relative to a given basis -- 6.0 Vector spaces with an inner product -- 6.1 Orthonormal bases -- 6.2 Orthogonal decomposition of a vector space -- 7.0 Symmetric matrices in n dimensions -- 7.1 Quadratic forms in n variables -- 8.0 Differential systems -- 8.1 Least squares approximation -- 8.2 Curvature of function graphs
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| Subject
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Algebras, Linear
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| Dewey Classification
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512/.5
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| LC Classification
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QA184.B36 1991
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| Added Entry
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Wermer, John
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