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1.

図書
図書
1. An introduction to wavelets through linear algebra
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
2.

図書
図書
2. Modern aspects of linear algebra
S.K. Godunov ; [translator, Tamara Rozhkovskaya with the participation of Scientific Books (RIMIBE NSU), Novosibirsk, Russia]
出版情報: Providence, R.I. : American Mathematical Society, c1998  xvi, 303 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 175
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3.

図書
図書
3. Linear algebra
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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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
4. A polynomial approach to linear algebra
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
5. Geometry and combinatorics : selected works of J.J. Seidel
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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6.

図書
図書
6. Linear algebra through geometry. 2nd ed (: us ; : gw)
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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7.

図書
図書
7. Matrices and vector spaces
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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8.

図書
図書
8. Module theory : an approach to linear algebra. 2nd ed (pbk.)
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：
9.

図書
図書
9. Abstract linear algebra (: us ; : gw)
Morton L. Curtis ; with revisions by Paul Place
出版情報: New York : Springer-Verlag, c1990  x, 168 p. ; 24 cm
シリーズ名: Universitext
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Algebraic Preliminaries
Vector Spaces and Linear Maps
Matrices and Determinants
Rings and Polynomials
Inner Product Spaces
Normed Algebras
Bibliography
Index
Algebraic Preliminaries
Vector Spaces and Linear Maps
Matrices and Determinants
10.

図書
図書
10. Advanced mathematical methods (: pbk)
Adam Ostaszewski
出版情報: Cambridge ; New York : Cambridge University Press, 1990  xiii, 545 p. ; 23 cm
シリーズ名: LSE mathematical series
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目次情報: 続きを見る
Preface
Linear Algebra / Part I：
Vector spaces (revision) / 1：
Geometry in R / 2：
Matrices / 3：
Projections / 4：
Spectral theory / 5：
The upper triangular form / 6：
The tri-diagonal form / 7：
Inverses / 8：
Convexity / 9：
The separating hyperplane theorem / 10：
Linear inequalities / 11：
Linear programming and game theory / 12：
The simplex method / 13：
Partial derivatives (revision) / 14：
Convex functions / 15：
Non-linear programming / 16：
Advanced Calculus / Part II：
The integration process
Manipulation of integrals
Multiple integrals
Differential and difference equations (revision)
Laplace transforms
Series solutions of differential equations
Calculus of variations
Solutions to Selected Exercises / Part III：
Index
Preface
Linear Algebra / Part I：
Vector spaces (revision) / 1：
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