close
1.

図書

図書
Hugh G. Campbell
出版情報: New York : Appleton-Century-Crofts, c1971  xiii, 336, A39 p. ; 24 cm
シリーズ名: The Appleton-Century mathematics series
所蔵情報: loading…
2.

図書

図書
Richard S. Varga
出版情報: Berlin : Springer, c2004  x, 226 p. ; 24 cm
シリーズ名: Springer series in computational mathematics ; 36
所蔵情報: loading…
目次情報: 続きを見る
Preface / I:
Basic Theory / 1:
Geršgorin's Theorem / 1.1:
Extensions of Geršgorin's Theorem via Graph Theory / 1.2:
Analysis Extensions of Geršgorin's Theorem and Fan's Theorem / 1.3:
A Norm Derivation of Geršgorin's Theorem 1.1 / 1.4:
Geršgorin-Type Eigenvalue Inclusion Theorems / 2:
Brauer's Ovals of Cassini / 2.1:
Higher-Order Lemniscates / 2.2:
Comparison of the Brauer Sets and the Brualdi Sets / 2.3:
The Sharpness of Brualdi Lemniscate Sets / 2.4:
An Example / 2.5:
More Eigenvalue Inclusion Results / 3:
The Parodi-Schneider Eigenvalue Inclusion Sets / 3.1:
The Field of Values of a Matrix / 3.2:
Newer Eigenvalue Inclusion Sets / 3.3:
The Pupkov-Solov'ev Eigenvalue Inclusions Set / 3.4:
Minimal Geršgorin Sets and Their Sharpness / 4:
Minimal Geršgorin Sets / 4.1:
Minimal Geršgorin Sets via Permutations / 4.2:
A Comparison of Minimal Geršgorin Sets and Brualdi Sets / 4.3:
G-Functions / 5:
The Sets <$>{\cal F}_{\bf n}<$> and <$>{\cal G}_{\bf n}<$> / 5.1:
Structural Properties of <$>{\cal G}_{\bf n}<$> and <$>{\cal G}_{\bf n}^{\bf c}<$> / 5.2:
Minimal G-Functions / 5.3:
Minimal G-Functions with Small Domains of Dependence / 5.4:
Connections with Brauer Sets and Generalized Brualdi Sets / 5.5:
Geršgorin-Type Theorems for Partitioned Matrices / 6:
Partitioned Matrices and Block Diagonal Dominance / 6.1:
A Different Norm Approach / 6.2:
A Variation on a Theme by Brualdi / 6.3:
G-Functions in the Partitioned Case / 6.4:
Geršgorin's Paper from 1931, and Comments / Appendix A:
Vector Norms and Induced Operator Norms / Appendix B:
The Perron-Frobenius Theory of Nonnegative Matrices / Appendix C:
Matlab 6 Programs / Appendix D:
References
Preface / I:
Basic Theory / 1:
Geršgorin's Theorem / 1.1:
3.

図書

図書
James J. Callahan
出版情報: New York : Springer, c2000  xvi, 451 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
所蔵情報: loading…
目次情報: 続きを見る
Relativity before 1905
Special relativityùkinematics
Special relativityùkinetics
Arbitrary frames
Surfaces and curvatures
Intrinsic geometry
General relativity
Consequences
Relativity before 1905
Special relativityùkinematics
Special relativityùkinetics
4.

図書

図書
Paul C. Shields
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., c1964  xii, 288 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
所蔵情報: loading…
5.

図書

図書
Władysław Ślebodziński
出版情報: Warszawa : Państwowe Wydawnictwo Naukowe, 1954-1963  2 v. ; 25 cm
シリーズ名: Monografie matematyczne ; t. 31, 40
所蔵情報: loading…
6.

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
所蔵情報: loading…
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
7.

図書

図書
by L.E. Dickson
出版情報: Cambridge : University Press, 1914  viii, 73 p. ; 22 cm
シリーズ名: Cambridge tracts in mathematics ; no. 16
所蔵情報: loading…
8.

図書

図書
par J. Larrieu
出版情報: Paris : Dunod, 1965  168, [1] p ; 24 cm
所蔵情報: loading…
9.

図書

図書
Morris W. Hirsch, Stephen Smale, Robert L. Devaney
出版情報: San Diego ; Tokyo : Elsevier Academic Press, c2004  xiv, 417 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 60
所蔵情報: loading…
目次情報: 続きを見る
Preface
First-Order Equations / Chapter 1:
The Simplest Example / 1.1:
The Logistic Population Model / 1.2:
Constant Harvesting and Bifurcations / 1.3:
Periodic Harvesting and Periodic Solutions / 1.4:
Computing the Poincare Map / 1.5:
Exploration: A Two-Parameter Family / 1.6:
Planar Linear Systems / Chapter 2:
Second-Order Differential Equations / 2.1:
Planar Systems / 2.2:
Preliminaries from Algebra / 2.3:
Eigenvalues and Eigenvectors / 2.4:
Solving Linear Systems / 2.6:
The Linearity Principle / 2.7:
Phase Portraits for Planar Systems / Chapter 3:
Real Distinct Eigenvalues / 3.1:
Complex Eigenvalues / 3.2:
Repeated Eigenvalues / 3.3:
Changing Coordinates / 3.4:
Classification of Planar Systems / Chapter 4:
The Trace-Determinant Plane / 4.1:
Dynamical Classification / 4.2:
Exploration: A 3D Parameter Space / 4.3:
Higher Dimensional Linear Algebra / Chapter 5:
Preliminaries from Linear Algebra / 5.1:
Bases and Subspaces / 5.2:
Genericity / 5.5:
Higher Dimensional Linear Systems / Chapter 6:
Distinct Eigenvalues / 6.1:
Harmonic Oscillators / 6.2:
The Exponential of a Matrix / 6.3:
Nonautonomous Linear Systems / 6.5:
Nonlinear Systems / Chapter 7:
Dynamical Systems / 7.1:
The Existence and Uniqueness Theorem / 7.2:
Continuous Dependence of Solutions / 7.3:
The Variational Equation / 7.4:
Exploration: Numerical Methods / 7.5:
Equilibria in Nonlinear Systems / Chapter 8:
Some Illustrative Examples / 8.1:
Nonlinear Sinks and Sources / 8.2:
Saddles / 8.3:
Stability / 8.4:
Bifurcations / 8.5:
Exploration: Complex Vector Fields / 8.6:
Global Nonlinear Techniques / Chapter 9:
Nullclines / 9.1:
Stability of Equilibria / 9.2:
Gradient Systems / 9.3:
Hamiltonian Systems / 9.4:
Exploration: The Pendulum with Constant Forcing / 9.5:
Closed Orbits and Limit Sets / Chapter 10:
Limit Sets / 10.1:
Local Sections and Flow Boxes / 10.2:
The Poincare Map / 10.3:
Monotone Sequences in Planar Dynamical Systems / 10.4:
The Poincare-Bendixson Theorem / 10.5:
Applications of Poincare-Bendixson / 10.6:
Exploration: Chemical Reactions That Oscillate / 10.7:
Applications in Biology / Chapter 11:
Infectious Diseases / 11.1:
Predator/Prey Systems / 11.2:
Competitive Species / 11.3:
Exploration: Competition and Harvesting / 11.4:
Applications in Circuit Theory / Chapter 12:
An RLC Circuit / 12.1:
The Lienard Equation / 12.2:
The van der Pol Equation / 12.3:
A Hopf Bifurcation / 12.4:
Exploration: Neurodynamics / 12.5:
Applications in Mechanics / Chapter 13:
Newton's Second Law / 13.1:
Conservative Systems / 13.2:
Central Force Fields / 13.3:
The Newtonian Central Force System / 13.4:
Kepler's First Law / 13.5:
The Two-Body Problem / 13.6:
Blowing Up the Singularity / 13.7:
Exploration: Other Central Force Problems / 13.8:
Exploration: Classical Limits of Quantum Mechanical Systems / 13.9:
The Lorenz System / Chapter 14:
Introduction to the Lorenz System / 14.1:
Elementary Properties of the Lorenz System / 14.2:
The Lorenz Attractor / 14.3:
A Model for the Lorenz Attractor / 14.4:
The Chaotic Attractor / 14.5:
Exploration: The Rossler Attractor / 14.6:
Discrete Dynamical Systems / Chapter 15:
Introduction to Discrete Dynamical Systems / 15.1:
The Discrete Logistic Model / 15.2:
Chaos / 15.4:
Symbolic Dynamics / 15.5:
The Shift Map / 15.6:
The Cantor Middle-Thirds Set / 15.7:
Exploration: Cubic Chaos / 15.8:
Exploration: The Orbit Diagram / 15.9:
Homoclinic Phenomena / Chapter 16:
The Shil'nikov System / 16.1:
The Horseshoe Map / 16.2:
The Double Scroll Attractor / 16.3:
Homoclinic Bifurcations / 16.4:
Exploration: The Chua Circuit / 16.5:
Existence and Uniqueness Revisited / Chapter 17:
Proof of Existence and Uniqueness / 17.1:
Continuous Dependence on Initial Conditions / 17.3:
Extending Solutions / 17.4:
Nonautonomous Systems / 17.5:
Differentiability of the Flow / 17.6:
Bibliography
Index
Preface
First-Order Equations / Chapter 1:
The Simplest Example / 1.1:
10.

図書

図書
Peter Deuflhard
出版情報: Berlin ; Tokyo : Springer, c2004  xii, 424 p. ; 24 cm
シリーズ名: Springer series in computational mathematics ; 35
所蔵情報: loading…
目次情報: 続きを見る
Outline of Contents
Introduction / 1:
Newton-Raphson Method for Scalar Equations / 1.1:
Newton's Method for General Nonlinear Problems / 1.2:
Classical convergence theorems revisited / 1.2.1:
Affine invariance and Lipschitz conditions / 1.2.2:
The algorithmic paradigm / 1.2.3:
A Roadmap of Newton-type Methods / 1.3:
Adaptive Inner Solvers for Inexact Newton Methods / 1.4:
Residual norm minimization: GMRES / 1.4.1:
Energy norm minimization: PCG / 1.4.2:
Error norm minimization: CGNE / 1.4.3:
Error norm reduction: GBIT / 1.4.4:
Linear multigrid methods / 1.4.5:
Exercises
Algebraic Equations / Part I:
Systems of Equations: Local Newton Methods / 2:
Error Oriented Algorithms / 2.1:
Ordinary Newton method / 2.1.1:
Simplified Newton method / 2.1.2:
Newton-like methods / 2.1.3:
Broyden's 'good' rank-1 updates / 2.1.4:
Inexact Newton-ERR methods / 2.1.5:
Residual Based Algorithms / 2.2:
Broyden's 'bad' rank-1 updates / 2.2.1:
Inexact Newton-RES method / 2.2.4:
Convex Optimization / 2.3:
Inexact Newton-PCG method / 2.3.1:
Systems of Equations: Global Newton Methods / 3:
Globalization Concepts / 3.1:
Componentwise convex mappings / 3.1.1:
Steepest descent methods / 3.1.2:
Trust region concepts / 3.1.3:
Newton path / 3.1.4:
Residual Based Descent / 3.2:
Affine contravariant convergence analysis / 3.2.1:
Adaptive trust region strategies / 3.2.2:
Error Oriented Descent / 3.2.3:
General level functions / 3.3.1:
Natural level function / 3.3.2:
Convex Functional Descent / 3.3.3:
Affine conjugate convergence analysis / 3.4.1:
Least Squares Problems: Gauss-Newton Methods / 3.4.2:
Linear Least Squares Problems / 4.1:
Unconstrained problems / 4.1.1:
Equality constrained problems / 4.1.2:
Local Gauss-Newton methods / 4.2:
Global Gauss-Newton methods / 4.2.2:
Adaptive trust region strategy / 4.2.3:
Local convergence results / 4.3:
Local Gauss-Newton algorithms / 4.3.2:
Global convergence results / 4.3.3:
Adaptive rank strategies / 4.3.4:
Underdetermined Systems of Equations / 4.4:
Local quasi-Gauss-Newton method / 4.4.1:
Global Gauss-Newton method / 4.4.2:
Parameter Dependent Systems: Continuation Methods / 5:
Newton Continuation Methods / 5.1:
Classification of continuation methods / 5.1.1:
Affine covariant feasible stepsizes / 5.1.2:
Adaptive pathfollowing algorithms / 5.1.3:
Gauss-Newton Continuation Method / 5.2:
Discrete tangent continuation beyond turning points / 5.2.1:
Adaptive stepsize control / 5.2.2:
Computation of Simple Bifurcations / 5.3:
Augmented systems for critical points / 5.3.1:
Newton-like algorithm for simple bifurcations / 5.3.2:
Branching-off algorithm / 5.3.3:
Differential Equations / Part II:
Stiff ODE Initial Value Problems / 6:
Affine Similar Linear Contractivity / 6.1:
Nonstiff versus Stiff Initial Value Problems / 6.2:
Picard iteration versus Newton iteration / 6.2.1:
Newton-type uniqueness theorems / 6.2.2:
Uniqueness Theorems for Implicit One-step Methods / 6.3:
Pseudo-transient Continuation for Steady State Problems / 6.4:
Exact pseudo-transient continuation / 6.4.1:
Inexact pseudo-transient continuation / 6.4.2:
ODE Boundary Value Problems / 7:
Multiple Shooting for Timelike BVPs / 7.1:
Cyclic linear systems / 7.1.1:
Realization of Newton methods / 7.1.2:
Realization of continuation methods / 7.1.3:
Parameter Identification in ODEs / 7.2:
Periodic Orbit Computation / 7.3:
Single orbit computation / 7.3.1:
Orbit continuation methods / 7.3.2:
Fourier collocation method / 7.3.3:
Polynomial Collocation for Spacelike BVPs / 7.4:
Discrete versus continuous solutions / 7.4.1:
Quasilinearization as inexact Newton method / 7.4.2:
PDE Boundary Value Problems / 8:
Asymptotic Mesh Independence / 8.1:
Global Discrete Newton Methods / 8.2:
General PDEs / 8.2.1:
Elliptic PDEs / 8.2.2:
Inexact Newton Multilevel FEM for Elliptic PDEs / 8.3:
Local Newton-Galerkin methods / 8.3.1:
Global Newton-Galerkin methods / 8.3.2:
References
Software
Index
Outline of Contents
Introduction / 1:
Newton-Raphson Method for Scalar Equations / 1.1:
11.

図書

図書
Morris W. Hirsch and Stephen Smale
出版情報: New York : Academic Press, c1974  xi, 358 p. ; 23 cm
シリーズ名: Pure and applied mathematics ; v. 60
所蔵情報: loading…
目次情報: 続きを見る
Preface
First Examples
Newton's Equation and Kepler's Law
Linear Systems with Constant Coeffecients and Real Eigenvalues
Linear Systems with Constant Coefficients and Complex Eigenvalues
Linear Systems and Exponentials of Operators
Linear Systems and Canonical Forms of Operators
Contractions and Generic Properties of Operators
Fundamental Theory
Stability of Equilibria
Differential Equations for Electrical Circuits
The Poincare-Bendixson Theorem
Ecology
Periodic Attractors
Classical Mechanics
Nonautonomous Equations and Differentiability of Flows
Perturbation Theory and Structural Stability
Elementary Facts
Polynomials
On Canonical Forms
The Inverse Function Theorem
References
Answers to Selected Problems
Index
Preface
First Examples
Newton's Equation and Kepler's Law
12.

図書

図書
by Nicolaas H. Kuiper
出版情報: Amsterdam : North-Holland, 1962  viii, 284 p. ; 23 cm
所蔵情報: loading…
13.

図書

図書
Alexander Graham
出版情報: Chichester, West Sussex, England : E. Horwood , New York, NY, USA : Halsted Press [distributor], 1987  264 p. ; 25 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
所蔵情報: loading…
14.

図書

図書
Larry Smith
出版情報: New York : Springer-Verlag, c1978  vii, 280 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
所蔵情報: loading…
15.

図書

図書
David M. Bloom
出版情報: Cambridge : Cambridge University Press, 1979  xiii, 625 p. ; 23 cm
所蔵情報: loading…
16.

図書

図書
Alexander Abian
出版情報: New York : Pergamon Press, c1971  vii, 166 p. ; 24 cm
所蔵情報: loading…
17.

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
所蔵情報: loading…
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
18.

図書

図書
Warren Brisley
出版情報: Sydney ; New York : J. Wiley & Sons Australasia, [1973]  vi, 189 p ; 25 cm
所蔵情報: loading…
目次情報: 続きを見る
Inspiration
Sisters in Charge
"The Child That Be Talkin'."
I Can Tell You the Exact Moment
Coming of Age
A Hard Road Up
Leap to the Top
"Mama Never Said There'd Be Days Like This."
We've Come This Far by Faith
Sister Power
Coming Full Circle: Messages to Our Sisters
Selected Bibliography
Index
Inspiration
Sisters in Charge
"The Child That Be Talkin'."
19.

図書

図書
von Otto-Heinrich Keller
出版情報: Berlin : VEB Deutscher Verlag der Wissenschaften, 1963  xii, 456 p. ; 24 cm
シリーズ名: Hochschulbücher für Mathematik ; Bd. 26
所蔵情報: loading…
20.

図書

図書
[by] Ross A. Beaumont
出版情報: New York : Harcourt, Brace & World, [c1965]  xi, 216 p. ; 23 cm
シリーズ名: Harbrace College mathematics series
所蔵情報: loading…
21.

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
所蔵情報: loading…
22.

図書

図書
Nef, Walter, 1919-
出版情報: Basel ; Stuttgart : Birkhäuser, 1966  276 p. ; 25 cm
シリーズ名: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften ; Mathematische Reihe ; Bd. 31
所蔵情報: loading…
23.

図書

図書
Smirnov, V. I. (Vladimir Ivanovich), 1887-1974 ; Silverman, Richard A.
出版情報: New York : McGraw-Hill, 1961  x, 464 p. ; 24 cm
所蔵情報: loading…
24.

図書

図書
Evar D. Nering
出版情報: New York : J. Wiley, [1963]  289 p. ; 24 cm
所蔵情報: loading…
25.

図書

図書
[by] F. A. Ficken
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1964  1v. ; 22 cm
所蔵情報: loading…
26.

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
所蔵情報: loading…
目次情報: 続きを見る
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
27.

図書

図書
Ben Noble
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1969  xvi, 523 p. ; 25 cm
所蔵情報: loading…
28.

図書

図書
by L.E. Dickson
出版情報: New York : Hafner Pub. Co., [1960?]  viii, 73 p. ; 22 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; no. 16
所蔵情報: loading…
29.

図書

図書
Daniel Pedoe
出版情報: New York : Wiley, [1963]  xi, 224 p ; 24 cm
所蔵情報: loading…
30.

図書

図書
[by] Paul J. Knopp
出版情報: Santa Barbara, Calif. : Hamilton Pub. Co, 1974  xvi, 435 p ; 23 cm
所蔵情報: loading…
31.

図書

図書
Irving Reiner
出版情報: New York : Holt, Rinehart and Winston, c1971  v, 154 p ; 23 cm
所蔵情報: loading…
32.

図書

図書
by W.H. Greub
出版情報: Berlin : Springer, 1963  x, 338 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 97
所蔵情報: loading…
33.

図書

図書
by L. Fox
出版情報: Oxford : Clarendon Press, 1964  xi, 328 p. ; 24 cm
シリーズ名: Monographs on numerical analysis
所蔵情報: loading…
34.

図書

図書
Werner Greub
出版情報: New York : Springer-Verlag, c1975  xvi, 451 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; v. 23
所蔵情報: loading…
35.

図書

図書
[by] Charles W. Curtis
出版情報: Boston : Allyn and Bacon, [1974]  ix, 337 p ; 24 cm
所蔵情報: loading…
36.

図書

図書
K.W. Gruenberg, A.J. Weir
出版情報: New York : Springer-Verlag, 1977  x, 198 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 49
所蔵情報: loading…
37.

図書

図書
Kenneth Hoffman, Ray Kunze
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1971  viii, 407 p. ; 25 cm
所蔵情報: loading…
目次情報: 続きを見る
Linear Equations / 1:
Vector Spaces / 2:
Linear Transformations / 3:
Polynomials / 4:
Determinants / 5:
Elementary canonical Forms / 6:
Rational and Jordan Forms / 7:
Inner Product Spaces / 8:
Operators on Inner Product Spaces / 9:
Bilinear Forms / 10:
Appendix
Linear Equations / 1:
Vector Spaces / 2:
Linear Transformations / 3:
38.

図書

図書
[by] Heinrich W. Brinkmann [and] Eugene A. Klotz
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, [1971]  xvi, 535 p ; 25 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
所蔵情報: loading…
39.

図書

図書
[by] J. Larrieu ; translated from the French by Marina Smith-Kok
出版情報: New York : Gordon and Breach, [1972]  273 p. ; 24 cm
所蔵情報: loading…
40.

図書

図書
by Sze-Tzen Hu
出版情報: Chicago : Markham Pub. Co, c1971  xiii, 374 p. ; 24 cm
シリーズ名: Markham mathematics series
所蔵情報: loading…
41.

図書

図書
Jean Dieudonné
出版情報: Paris : Hermann, c1969  207 p. ; 23 cm
所蔵情報: loading…
42.

図書

図書
[by] Allan Gewirtz, Harry Sitomer [and] Albert W. Tucker
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, [1974]  xi, 493 p ; 23 cm
所蔵情報: loading…
43.

図書

図書
by R.J. Goult
出版情報: Chichester, Eng. : Ellis Horwood , New York : Halsted Press, 1978  196 p. ; 24 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
所蔵情報: loading…
44.

図書

図書
Gilbert Strang
出版情報: New York : Academic Press, c1976  xi, 374 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Matrices and Gaussian Elimination / Chapter 1:
Introduction / 1.1:
The Geometry of Linear Equations / 1.2:
An Example of Gaussian Elimination / 1.3:
Matrix Notation and Matrix Multiplication / 1.4:
Triangular Factors and Row Exchanges / 1.5:
Inverses and Transposes / 1.6:
Special Matrices and Applications / 1.7:
Review Exercises: Chapter 1
Vector Spaces / Chapter 2:
Vector Spaces and Subspaces / 2.1:
Solving Ax = 0 and Ax = b / 2.2:
Linear Independence, Basis, and Dimension / 2.3:
The Four Fundamental Subspaces / 2.4:
Graphs and Networks / 2.5:
Linear Transformations / 2.6:
Review Exercises: Chapter 2
Orthogonality / Chapter 3:
Orthogonal Vectors and Subspaces / 3.1:
Cosines and Projections onto Lines / 3.2:
Projections and Least Squares / 3.3:
Orthogonal Bases and Gram-Schmidt / 3.4:
The Fast Fourier Transform / 3.5:
Review Exercises: Chapter 3
Determinants / Chapter 4:
Properties of the Determinant / 4.1:
Formulas for the Determinant / 4.3:
Applications of Determinants / 4.4:
Review Exercises: Chapter 4
Eigenvalues and Eigenvectors / Chapter 5:
Diagonalization of a Matrix / 5.1:
Difference Equations and Powers A[superscript k] / 5.3:
Differential Equations and e[superscript At] / 5.4:
Complex Matrices / 5.5:
Similarity Transformations / 5.6:
Review Exercises: Chapter 5
Positive Definite Matrices / Chapter 6:
Minima, Maxima, and Saddle Points / 6.1:
Tests for Positive Definiteness / 6.2:
Singular Value Decomposition / 6.3:
Minimum Principles / 6.4:
The Finite Element Method / 6.5:
Computations with Matrices / Chapter 7:
Matrix Norm and Condition Number / 7.1:
Computation of Eigenvalues / 7.3:
Iterative Methods for Ax = b / 7.4:
Linear Programming and Game Theory / Chapter 8:
Linear Inequalities / 8.1:
The Simplex Method / 8.2:
The Dual Problem / 8.3:
Network Models / 8.4:
Game Theory / 8.5:
Intersection, Sum, and Product of Spaces / Appendix A:
The Jordan Form / Appendix B:
Solutions to Selected Exercises
Matrix Factorizations
Matrices and Gaussian Elimination / Chapter 1:
Introduction / 1.1:
The Geometry of Linear Equations / 1.2:
45.

図書

図書
M. Zamansky
出版情報: London : D. Van Nostrand, c1969  xii, 466 p. ; 24 cm
シリーズ名: The New university mathematics series
所蔵情報: loading…
46.

図書

図書
David M. Burton
出版情報: Reading, Mass. : Addison-Wesley, c1972  vi, 538 p. ; 25 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
所蔵情報: loading…
47.

図書

図書
Ichiro Satake ; translated by Sebastian Koh, Tadatoshi Akiba, Shin-ichiro Ihara
出版情報: New York : M. Dekker, c1975  xi, 375 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 29
所蔵情報: loading…
48.

図書

図書
[by] George D. Mostow [and] Joseph H. Sampson
出版情報: New York : McGraw-Hill, [1969]  x, 296 p ; 23 cm
シリーズ名: International series in pure and applied mathematics
所蔵情報: loading…
49.

図書

図書
Ian R. Porteous
出版情報: London ; New York : Van Nostrand Reinhold, 1969  vii, 457 p. ; 24 cm
シリーズ名: The New university mathematics series
所蔵情報: loading…
50.

図書

図書
Władysław Ślebodziński ; Rev. translation from the French, [translated by Abraham Goetz]
出版情報: Warszawa : [Polish Scientific Publishers], 1970  427 p.br 25 cm
シリーズ名: Monografie matematyczne ; t. 52
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼