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1.

図書

図書
Per-Olov Löwdin and Quantum Theory Project, University of Florida
出版情報: New York : John Wiley & Sons, c1998  xi, 458 p. ; 25 cm
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2.

図書

図書
Michael W. Frazier
出版情報: New York ; Tokyo : Springer, c1999  xvi, 501 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
Preface
Acknowledgments
Prologue: Compression of the FBI Fingerprint Files
Background: Complex Numbers and Linear Algebra / 1:
Real Numbers and Complex Numbers / 1.1:
Complex Series, Euler's Formula, and the Roots of Unity / 1.2:
Vector Spaces and Bases / 1.3:
Linear Transformations, Matrices, and Change of Basis / 1.4:
Diagonalization of Linear Transformations and Matrices / 1.5:
Inner Products, Orthonormal Bases, and Unitary Matrices / 1.6:
The Discrete Fourier Transform / 2:
Basic Properties of the Discrete Fourier Transform / 2.1:
Translation-Invariant Linear Transformations / 2.2:
The Fast Fourier Transform / 2.3:
Wavelets on $bZ_N$ / 3:
Construction of Wavelets on $bZ_N$: The First Stage / 3.1:
Construction of Wavelets on $bZ_N$: The Iteration Step / 3.2:
Examples and Applications / 3.3:
Wavelets on $bZ$ / 4:
$ ell ^2(bZ)$ / 4.1:
Complete Orthonormal Sets in Hilbert Spaces / 4.2:
$L^2([- pi , pi ))$ and Fourier Series / 4.3:
The Fourier Transform and Convolution on $ ell ^2(bZ)$ / 4.4:
First-Stage Wavelets on $bZ$ / 4.5:
The Iteration Step for Wavelets on $bZ$ / 4.6:
Implementation and Examples / 4.7:
Wavelets on $bR$ / 5:
$L^2(bR)$ and Approximate Identities / 5.1:
The Fourier Transform on $bR$ / 5.2:
Multiresolution Analysis and Wavelets / 5.3:
Construction of Multiresolution Analyses / 5.4:
Wavelets with Compact Support and Their Computation / 5.5:
Wavelets and Differential Equations / 6:
The Condition Number of a Matrix / 6.1:
Finite Difference Methods for Differential Equations / 6.2:
Wavelet-Galerkin Methods for Differential Equations / 6.3:
Bibliography
Index
Preface
Acknowledgments
Prologue: Compression of the FBI Fingerprint Files
3.

図書

図書
Peter D. Lax
出版情報: New York : John Wiley, c1997  xiv, 250 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Fundamentals
Duality
Linear Mappings
Matrices
Determinant and Trace
Spectral Theory
Euclidean Structure
Spectral Theory of Selfadjoint Mappings
Calculus of Vector and Matrix Valued Functions
Matrix Inequalities
Kinematics and Dynamics
Convexity
The Duality Theorem
Normed Linear Spaces
Linear Mappings Between Normed Spaces
Positive Matrices
How to Solve Systems of Linear Equations
Appendices
Bibliography
Index
List of Series Titles
Fundamentals
Duality
Linear Mappings
4.

図書

図書
Paul A. Fuhrmann
出版情報: New York ; Tokyo : Springer, c1996  xiii, 360 p. ; 24 cm
シリーズ名: Universitext
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5.

図書

図書
V.V. Prasolov ; [translated by D.A. Leites from an original Russian manuscript ; translation edited by Simeon Ivanov]
出版情報: Providence, R.I. : American Mathematical Society, c1994  xviii, 225 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 134
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Main notations and conventions
Determinants Linear spaces
Canonical forms of matrices and linear operators
Matrices of special form Multilinear algebra
Matrix inequalities
Matrices in algebra and calculus
Appendix
Bibliography
Subject Index
Main notations and conventions
Determinants Linear spaces
Canonical forms of matrices and linear operators
6.

図書

図書
William C. Brown
出版情報: New York : M. Dekker, c1991  viii, 309 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 145
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7.

図書

図書
edited by D.G. Corneil and R. Mathon
出版情報: Boston ; Tokyo : Academic Press, c1991  xix, 410 p. ; 24 cm
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8.

図書

図書
Thomas Banchoff, John Wermer
出版情報: New York ; Tokyo : Springer-Verlag, c1992  xii, 305 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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9.

図書

図書
Philip E. Gill, Walter Murray, Margaret H. Wright
出版情報: Redwood City, Calif. : Addison-Wesley Pub. Co., Advanced Book Program, c1991  xvii, 426 p. ; 24 cm
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10.

図書

図書
T.S. Blyth
出版情報: Oxford [England] : Clarendon Press , New York : Oxford University Press, 1990  vi, 360 p. ; 24 cm
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Modules, Vector Spaces and Algebras / 1:
Submodules; Intersections and Sums / 2:
Morphisms; Exact Sequences / 3:
Quotient Modules; Basic Isomorphism Theorems / 4:
Chain Conditions; Jordan-Holder Towers / 5:
Products and Coproducts / 6:
Free Modules; Bases / 7:
Groups of Morphisms; Projective Modules / 8:
Duality; Transposition / 9:
Matrices; Linear Equations / 10:
Inner Product Spaces / 11:
Injective Modules / 12:
Simple and Semisimple Modules / 13:
The Jacobson Radical / 14:
Tensor Products; Flat Modules; Regular Rings / 15:
Tensor Products; Tensor Algebras / 16:
Exterior Algebras, Determinants / 17:
Modules Over A Principal Ideal Domain; Finitely Generated Abelian Groups / 18:
Vector Space Decomposition Theorems; Canonical Forms Under Similarity / 19:
Diagonalisation; Normal Transformations / 20:
Modules, Vector Spaces and Algebras / 1:
Submodules; Intersections and Sums / 2:
Morphisms; Exact Sequences / 3:
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