1.
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by William A. Coppel
2.
ＥＢ
by William A. Coppel
3.
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edited by Daniel Alpay, Israel Gohberg
4.
ＥＢ
by M. Fiedler, J. Nedoma, J. Ramík, J. Rohn, K. Zimmermann
5.
ＥＢ
by Sha Huang, Yu Ying Qiao, Guo Chun Wen
出版情報:
Boston, MA : Springer Science+Business Media, Inc., 2006
シリーズ名:
Advances in Complex Analysis and Its Applications ; 5
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/b105856
所蔵情報:
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6.
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by J. David Logan
7.
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by Anthony W. Knapp
8.
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by Maria Moszyńska
9.
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by Alexandre V. Borovik, Anna Borovik
10.
ＥＢ
by R. B. Bapat
11.
ＥＢ
by Lorenzo Robbiano
12.
ＥＢ
by Nadir Jeevanjee
13.
ＥＢ
by Lorenzo Robbiano
14.
ＥＢ
by Fuzhen Zhang
15.
ＥＢ
by Géza Schay
16.
ＥＢ
by Peter Petersen
17.
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by Harm Bart, André C. M. Ran, Israel Gohberg, Marinus A. Kaashoek
出版情報:
Basel : Birkhäuser Verlag AG, 2008
シリーズ名:
Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 178
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-7643-8268-1
所蔵情報:
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18.
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edited by Joseph A. Ball, Yuli Eidelman, J. William Helton, Vadim Olshevsky, James Rovnyak
19.
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by David Elliott
20.
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by Raimondas Čiegis, David Henty, Bo Kågström, Julius Žilinskas ; edited by Panos M. Pardalos, Ding-Zhu Du
21.
ＥＢ
by Richard S. Varga
22.
ＥＢ
by Corrado De Concini, Claudio Procesi
23.
ＥＢ
by Guang-Ren Duan
24.
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edited by Misha E. Kilmer, Dianne P. O'Leary
25.
ＥＢ
by Denis Serre
26.
ＥＢ
by Harm Bart, Marinus A. Kaashoek, André C. M. Ran
27.
ＥＢ
by Jonathan S. Golan
28.
ＥＢ
edited by Anthony Joseph, Anna Melnikov, Ivan Penkov
29.
ＥＢ
by Gyula Csató, Bernard Dacorogna, Olivier Kneuss
出版情報:
Boston : Springer Science+Business Media, LLC, 2012
シリーズ名:
Progress in Nonlinear Differential Equations and Their Applications ; 83
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-0-8176-8313-9
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30.
ＥＢ
by Paul A. Fuhrmann
31.
ＥＢ
by Garret Sobczyk
目次情報:
続きを見る
1 Modular Number Systems
2 Complex and Hyperbolic Numbers
3 Geometric Algebra
4 Vector Spaces and Matrices
5 Outer Product and Determinants
6 Systems of Linear Equations
7 Linear Transformations on R^n
8 Structure of a Linear Operator
9 Linear and Bilinear Forms
10 Hermitian Inner Product Spaces
11 Geometry of Moving Planes
12 Representations of the Symmetric Group
13 Calculus on m-Surfaces
14 Differential Geometry of Curves
15 Differential Geometry of k-Surfaces
16 Mappings Between Surfaces
17 Non-Euclidean and Projective Geometries
18 Lie Groups and Lie Algebras
References
Symbols
1 Modular Number Systems
2 Complex and Hyperbolic Numbers
3 Geometric Algebra
32.
ＥＢ
by Daniel J. Galiffa
目次情報:
1. The Sheffer A-Type 0 Orthogonal Polynomial Sequences and Related Results
2. Some Applications of the Sheffer A-Type 0 Orthogonal Polynomial Sequences
3. A Method for Analyzing a Special Case of the Sheffer B-Type 1 Polynomial Sequences
1. The Sheffer A-Type 0 Orthogonal Polynomial Sequences and Related Results
2. Some Applications of the Sheffer A-Type 0 Orthogonal Polynomial Sequences
3. A Method for Analyzing a Special Case of the Sheffer B-Type 1 Polynomial Sequences
33.
ＥＢ
edited by Eckhard Hitzer, Stephen J. Sangwine
目次情報:
続きを見る
Preface.- History of Quaternion and Clifford-Fourier Transforms and Wavelets
Part I: Quaternions.- 1 Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis.- 2 The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations.- 3 Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals.- 4 Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions.- 5 Bochner’s Theorems in the Framework of Quaternion Analysis.- 6 Bochner-Minlos Theorem and Quaternion Fourier Transform
Part II: Clifford Algebra.- 7 Square Roots of -1 in Real Clifford Algebras.- 8 A General Geometric Fourier Transform.- 9 Clifford-Fourier Transform and Spinor Representation of Images
10 Analytic Video (2D+t) Signals Using Clifford-Fourier Transforms in Multiquaternion Grassmann-Hamilton-Clifford Algebras
11 Generalized Analytic Signals in Image Processing: Comparison, Theory and Applications
12 Color Extension of Monogenic Wavelets with Geometric Algebra: Application to Color Image Denoising
13 Seeing the Invisible and Maxwell’s Equations
14 A Generalized Windowed Fourier Transform in Real Clifford Algebra Cl_{0,n}
15 The Balian-Low theorem for the Windowed Clifford-Fourier Transform
16 Sparse Representation of Signals in Hardy Space. - Index
Preface.- History of Quaternion and Clifford-Fourier Transforms and Wavelets
Part I: Quaternions.- 1 Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis.- 2 The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations.- 3 Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals.- 4 Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions.- 5 Bochner’s Theorems in the Framework of Quaternion Analysis.- 6 Bochner-Minlos Theorem and Quaternion Fourier Transform
Part II: Clifford Algebra.- 7 Square Roots of -1 in Real Clifford Algebras.- 8 A General Geometric Fourier Transform.- 9 Clifford-Fourier Transform and Spinor Representation of Images
34.
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by Igor R. Shafarevich, Alexey O. Remizov
目次情報:
続きを見る
Preface
Preliminaries
1. Linear Equations
2. Matrices and Determinants
3. Vector Spaces
4. Linear Transformations of a Vector Space to Itself
5. Jordan Normal Form
6. Quadratic and Bilinear Forms
7. Euclidean Spaces
8. Affine Spaces
9. Projective Spaces
10. The Exterior Product and Exterior Algebras
11. Quadrics
12. Hyperbolic Geometry
13. Groups, Rings, and Modules
14. Elements of Representation Theory
Historical Note
References
Index
Preface
Preliminaries
1. Linear Equations
35.
ＥＢ
by Simo Puntanen, George P. H. Styan, Jarkko Isotalo
目次情報:
続きを見る
The Model Matrix
Fitted Values and Residuals
Regression Coefficients
Alternative Estimators
Decompositions of Sums of Squares
Partial Correlations
Distributions
Testing Hypotheses
Diagnostics
BLUE: Some Helpful Identities
Estimability
Best Linear Unbiased Estimator
The Watson Efficiency
Linear Sufficiency and Admissibility
Best Linear Unbiased Predictor
Mixed Model
Multivariate Linear Model
Inverse of a Partitioned Matrix
Generalized Inverses
Projectors
Eigenvalues
Discriminant Analysis
Factor Analysis
Canonical Correlations
Matrix Decompositions
Principal Component Analysis
Löwner Ordering
Rank Rules
Inequalities
Kronecker Product
Matrix Derivatives
The Model Matrix
Fitted Values and Residuals
Regression Coefficients
36.
ＥＢ
by Erling Størmer
目次情報:
続きを見る
Introduction
1 Generalities for positive maps
2 Jordan algebras and projection maps
3 Extremal positive maps
4 Choi matrices and dual functionals
5 Mapping cones
6 Dual cones
7 States and positive maps
8 Norms of positive maps
Appendix: A.1 Topologies on B(H)
A.2 Tensor products
A.3 An extension theorem
Bibliography
Index
Introduction
1 Generalities for positive maps
2 Jordan algebras and projection maps
37.
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by Richard William Farebrother
目次情報:
続きを見る
Introduction
Point Fitting Problems in One- and Two-dimensions
The Hyperplane Fitting Problem in Two or More Dimensions
Linear Programming Computations
Statistical Theory
The Least Median of Squared Residuals Procedure
Mechanical Representations
References
Index of Names.
Introduction
Point Fitting Problems in One- and Two-dimensions
The Hyperplane Fitting Problem in Two or More Dimensions
38.
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edited by Ravindra B. Bapat, Steve J. Kirkland, K. Manjunatha Prasad, Simo Puntanen
目次情報:
続きを見る
Skew Spectrum of the Cartesian Product of an Oriented Graph with an Oriented Hypercube
Notes on Explicit Block Diagonalization
The Third Immanant of q-Laplacian Matrices of Trees and Laplacians of Regular Graphs
Matrix Product of Graphs
Determinant of the Laplacian Matrix of Weighted Directed Graphs
From Multivariate Skewed Distributions to Copulas
Revisiting the BLUE in a Linear Model via Proper Eigenvectors
Inference in Error Orthogonal Models
On the Entries of Orthogonal Projection Matrices
Moore-Penrose Inverse of Perturbed Operators on Hilbert Spaces
The Reverse Order Law in Indefinite Inner Product Spaces
Generalized Inverses and Approximation Numbers
On the Level-2 Condition Number for Moore-Penrose Inverse in Hilbert Space
Products and Sums of Idempotent Matrices over Principal Ideal Domain
Perfect Semiring of Nonnegative Matrices
Regular Matrices over an Incline
Matrix Partial Orders associated with Space Preorder
An Illustrated Introduction to Some Old Magic Squares from India
Appendix: Report on CMTGIM 2012, Manipal
Index
Skew Spectrum of the Cartesian Product of an Oriented Graph with an Oriented Hypercube
Notes on Explicit Block Diagonalization
The Third Immanant of q-Laplacian Matrices of Trees and Laplacians of Regular Graphs
39.
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by Igor Kriz, Aleš Pultr
目次情報:
続きを見る
Preface
Introduction
Part 1. A Rigorous Approach to Advanced Calculus
1. Preliminaries
2. Metric and Topological Spaces I
3. Multivariable Differential Calculus
4. Integration I: Multivariable Riemann Integral and Basic Ideas toward the Lebesgue Integral
5. Integration II: Measurable Functions, Measure and the Techniques of Lebesgue Integration
6. Systems of Ordinary Differential Equations
7. System of Linear Differential Equations
8. Line Integrals and Green's Theorem
Part 2. Analysis and Geometry
9. An Introduction to Complex Analysis
10. Metric and Topological Spaces II
11. Multilinear Algebra
12. Smooth Manifolds, Differential Forms and Stokes' Theorem
13. Calculus of Variations and the Geodesic Equation
14. Tensor Calculus and Riemannian Geometry
15. Hilbert Spaces I: Definitions and Basic Properties
16. Hilbert Spaces II: Examples and Applications
Appendix A. Linear Algebra I: Vector Spaces
Appendix B. Linear Algebra II: More about Matrices
Bibliography
Index of Symbols
Index.
Preface
Introduction
Part 1. A Rigorous Approach to Advanced Calculus
40.
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by Fumio Hiai, Dénes Petz
目次情報:
続きを見る
Fundamentals of operators and matrices
Mappings and algebras
Functional calculus and derivation
Matrix monotone functions and convexity
Matrix means and inequalities
Majorization and singular values
Some applications
Fundamentals of operators and matrices
Mappings and algebras
Functional calculus and derivation
41.
ＥＢ
by M. Mursaleen
目次情報:
続きを見る
Toeplitz Matrices
Lambert Summability and the Prime Number Theorem
Summability Tests for Singular Points
Lototski Summability and Analytic Continuation
Summability Methods for Random Variables
Almost Summability
Almost Summability of Taylor Series
Matrix Summability of Fourier and Walsh-Fourier Series
Almost Convergence in Approximation Process
Statistical Summability
Statistical Approximation
Applications to fixed point theorems
Bibliography
Index
Toeplitz Matrices
Lambert Summability and the Prime Number Theorem
Summability Tests for Singular Points
42.
ＥＢ
by Ping-Qi PAN
目次情報:
続きを見る
Introduction
Geometry of the Feasible Region
Simplex Method
Duality principle and dual simplex method
Implementation of the Simplex Method
Sensitivity Analysis and Parametric LP
Variants of the Simplex Method
Decomposition Method
Interior Point Method
Integer Linear Programming (ILP)
Pivot Rule
Dual Pivot Rule
Simplex Phase-I Method
Dual Simplex Phase-l Method
Reduced Simplex Method
Improved Reduced Simplex Method
D-Reduced Simplex Method
Criss-Cross Simplex Method
Generalizing Reduced Simplex Method
Deficient-Basis Method
Dual Deficient-Basis Method
Face Method
Dual Face Method
Pivotal interior-point Method
Special Topics
Appendix
References
Introduction
Geometry of the Feasible Region
Simplex Method
43.
ＥＢ
by David R. Finston, Patrick J. Morandi
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2014
シリーズ名:
Springer Undergraduate Texts in Mathematics and Technology ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-319-04498-9
所蔵情報:
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目次情報:
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Identification Numbers and Modular Arithmetic
Error Correcting Codes
Rings and Fields
Linear Algebra and Linear Codes
Quotient Rings and Field Extensions
Ruler and Compass Constructions
Cyclic Codes
Groups and Cryptography
The Structure of Groups
Symmetry
Identification Numbers and Modular Arithmetic
Error Correcting Codes
Rings and Fields
44.
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by Titu Andreescu
目次情報:
続きを見る
Preface
Linear Phenomena and Euclidean Spaces of Small Dimension
Concrete Vector Spaces
Vector Spaces and Subspaces
Linear Transformations
More Matrix Algebra and Determinants
General Theory of Linear Equations
Eigenvectors
Orthogonality
Forms
Vector Spaces over Finite Fields
Appendix A: Complex Numbers
Appendix B: Polynomials over Complex Numbers
References
Index.
Preface
Linear Phenomena and Euclidean Spaces of Small Dimension
Concrete Vector Spaces
45.
ＥＢ
by Michael I. Gil'
目次情報:
続きを見る
Preliminaries
Eigenvalues and Functions of Matrices
Difference Equations with Continuous Time
Linear Differential Delay Equations
Linear Autonomous NDEs
Linear Time-variant NDEs
Nonlinear Vector NDEs
Absolute Stability of Scalar NDEs
Bounds for Characteristic Values of NDEs
Preliminaries
Eigenvalues and Functions of Matrices
Difference Equations with Continuous Time
46.
ＥＢ
edited by Larisa Beilina
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 120
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-319-12499-5
所蔵情報:
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目次情報:
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M.Yu. Kokurin and A. Bakushinsky, Interatively regularized Gauss-Newton methods under random noise
L. Beilina, N.T. Thanh, M.V. Klibanov, and J.B. Malmberg, Methods of quantitative reconstruction of shapes and refractive indices from experimental data
J.B. Malmberg, A posteriori error estimate in the Lagrangian setting for an inverse problem based on a new formulation of Maxwell's system
E. Karchevskii, A. Spiridonov, and L. Beilina, Determination of permittivity from propagation constant measurements in optical fibers
L. Angermann, Yu.V. Shestopalov, and V.V. Yatsyk, Eigenmodes of linearised problems of scattering and generation of oscillations on cubically polarisable layers
S. Soltani, R. Andersson, and B. Andersson, Time resolution in transient kinetics
L. Beilina and A. Eriksson, Reconstruction of dielectric constants in a cylindrical waveguide
L. Beilina and I. Gainova, Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy
L. Beilina and E. Karchevskii, The layer-stripping algorithm for reconstruction of dielectrics in an optical fiber
L. Beilina, M. Cristofol, and K. Niinimaki, Simultaneous reconstruction of Maxwell's coefficients from backscattering data
M.Yu. Kokurin and A. Bakushinsky, Interatively regularized Gauss-Newton methods under random noise
L. Beilina, N.T. Thanh, M.V. Klibanov, and J.B. Malmberg, Methods of quantitative reconstruction of shapes and refractive indices from experimental data
J.B. Malmberg, A posteriori error estimate in the Lagrangian setting for an inverse problem based on a new formulation of Maxwell's system
47.
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by Jörg Liesen, Volker Mehrmann
目次情報:
続きを見る
Linear Algebra in every day life
Basic mathematical concepts
Algebraic structures
Matrices
The echelon form and the rank of matrices
Linear systems of equations
Determinants of matrices
The characteristic polynomial and eigenvalues of matrices
Vector spaces
Linear maps
Linear forms and bilinear forms
Euclidean and unitary vector spaces
Adjoints of linear maps
Eigenvalues of endomorphisms
Polynomials and the Fundamental Theorem of Algebra
Cyclic subspaces, duality and the Jordan canonical form
Matrix functions and systems of differential equations
Special classes of endomorphisms
The singular value decomposition
The Kronecker product and linear matrix equations
Linear Algebra in every day life
Basic mathematical concepts
Algebraic structures
48.
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edited by Matthias Langer, Annemarie Luger, Harald Woracek
49.
ＥＢ
by Marko Lindner
50.
ＥＢ
by W. D. Wallis
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