1.

David C. Lay

 Linear Equations in Linear Algebra / 1： Introductory Example: Linear Models in Economics and Engineering Systems of Linear Equations / 1.1： Row Reduction and Echelon Forms / 1.2： Vector Equations / 1.3： The Matrix Equation Ax = b / 1.4： Solution Sets of Linear Systems / 1.5： Applications of Linear Systems / 1.6： Linear Independence / 1.7： Introduction to Linear Transformations / 1.8： The Matrix of a Linear Transformation / 1.9： Linear Models in Business, Science, and Engineering / 1.10： Supplementary Exercises Matrix Algebra / 2： Introductory Example: Computer Models in Aircraft Design Matrix Operations / 2.1： The Inverse of a Matrix / 2.2： Characterizations of Invertible Matrices / 2.3： Partitioned Matrices / 2.4： Matrix Factorizations / 2.5： The Leontief Input=Output Model / 2.6： Applications to Computer Graphics / 2.7： Subspaces of Rn / 2.8： Dimension and Rank / 2.9： Determinants / 3： Introductory Example: Determinants in Analytic Geometry Introduction to Determinants / 3.1： Properties of Determinants / 3.2： Cramer's Rule, Volume, and Linear Transformations / 3.3： Vector Spaces / 4： Introductory Example: Space Flight and Control Systems Vector Spaces and Subspaces / 4.1： Null Spaces, Column Spaces, and Linear Transformations / 4.2： Linearly Independent Sets Bases / 4.3： Coordinate Systems / 4.4： The Dimension of a Vector Space / 4.5： Rank / 4.6： Change of Basis / 4.7： Applications to Difference Equations / 4.8： Applications to Markov Chains / 4.9： Eigenvalues and Eigenvectors / 5： Introductory Example: Dynamical Systems and Spotted Owls Eigenvectors and Eigenvalues / 5.1： The Characteristic Equation / 5.2： Diagonalization / 5.3： Eigenvectors and Linear Transformations / 5.4： Complex Eigenvalues / 5.5： Discrete Dynamical Systems / 5.6： Applications to Differential Equations / 5.7： Iterative Estimates for Eigenvalues / 5.8： Orthogonality and Least Squares / 6： Introductory Example: Readjusting the North American Datum Inner Product, Length, and Orthogonality / 6.1： Orthogonal Sets / 6.2： Orthogonal Projections / 6.3： The Gram-Schmidt Process / 6.4： Least-Squares Problems / 6.5： Applications to Linear Models / 6.6： Inner Product Spaces / 6.7： Applications of Inner Product Spaces / 6.8： Symmetric Matrices and Quadratic Forms / Chapter 7： Introductory Example: Multichannel Image Processing Diagonalization of Symmetric Matrices / 7.1： Quadratic Forms / 7.2： Constrained Optimization / 7.3： The Singular Value Decomposition / 7.4： Applications to Image Processing and Statistics / 7.5： Supplementary Exercises (ONLINE ONLY) The Geometry of Vector Spaces / 8： Introductory Example: The Platonic Solids Affine Combinations / 8.1： Affine Independence / 8.2： Convex Combinations / 8.3： Hyperplanes / 8.4： Polytopes / 8.5： Curves and Surfaces / 8.6： Optimization / 9： Introductory Example: The Berlin Airlift Matrix Games / 9.1： Linear Programming - Geometric Method / 9.2： Linear Programming - Simplex Method / 9.3： Duality / 9.4： Appendices Uniqueness of the Reduced Echelon Form / A： Complex Numbers / B： Glossary Answers to Odd-Numbered Exercises Index
 Linear Equations in Linear Algebra / 1： Introductory Example: Linear Models in Economics and Engineering Systems of Linear Equations / 1.1：
2.

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…
3.

И.М. Гразман, Ю.И. Любич
 出版情報: Москва : "Наука", 1969  475 p ; 21 cm 所蔵情報: loading…
4.

Alexander Kleshchev
 出版情報: Cambridge : Cambridge University Press, c2005  xiv, 277 p. ; 24 cm シリーズ名: Cambridge tracts in mathematics ; 163 所蔵情報: loading…

 Preface Linear Representations / Part I： Notations and generalities / 1： Symmetric groups I / 2： Degenerate affine Hecke algebra / 3： First results on Hn-modules / 4： Crystal operators / 5： Character calculations / 6： Integral representations and cyclotomic Hecke algebras / 7： Functors ei? and fi? / 8： Construction of UZ+ and irreducible modules / 9： Identification of the crystal / 10： Symmetric groups II / 11： Projective Representations / Part II： Generalities on superalgebra / 12： Sergeev superalgebras / 13： Affine Sergeev superalgebras / 14： Integral representations and cyclotomic Sergeev algebras / 15： First results on Xn-modules / 16： Crystal operators for Xn / 17： Character calculations for Xn / 18： Operators ei? and fi? / 19： Double covers / 20： References Index
 Preface Linear Representations / Part I： Notations and generalities / 1：
5.

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…

 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：
6.

Steven H. Weintraub
 出版情報: Washington, DC : Mathematical Association of America, c2011  xii, 251 p. ; 24 cm シリーズ名: Mathematical Association of America guides ; no. 6The Dolciani mathematical expositions ; no. 44 所蔵情報: loading…

 Preface Vector spaces and linear transformations / 1： Coordinates / 2： Determinants / 3： The structure of a linear transformation I / 4： The structure of a linear transformation II / 5： Bilinear, sesquilinear, and quadratic forms / 6： Real and complex inner product spaces / 7： Matrix groups as Lie groups / 8： Polynomials / A： Basic properties / A.1： Unique factorization / A.2： Polynomials as expressions and polynomials as functions / A.3： Modules over principal ideal domains / B： Definitions and structure theorems / B.1： Derivation of canonical forms / B.2： Bibliography Index
 Preface Vector spaces and linear transformations / 1： Coordinates / 2：
7.

André Lichnerowicz ; translated by Alison Johnson
 出版情報: San Francisco : Holden-Day, c1967  xv, 304 p. ; 24 cm シリーズ名: The Mathesis series 所蔵情報: loading…
8.

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…

 Relativity before 1905 Special relativityÃ¹kinematics Special relativityÃ¹kinetics Arbitrary frames Surfaces and curvatures Intrinsic geometry General relativity Consequences
 Relativity before 1905 Special relativityÃ¹kinematics Special relativityÃ¹kinetics
9.

by Daniel T. Finkbeiner, II ; drawings by Evan Gillespie
 出版情報: San Francisco : W.H. Freeman , Tokyo : Charles E. Tuttle, 1960  vii, 248 p.: ill. ; 22 cm 所蔵情報: loading…
10.

Paul C. Shields
11.

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 所蔵情報: loading…
12.

 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…
13.

Yitzhak Katznelson, Yonatan R. Katznelson
 出版情報: Providence, R.I. : American Mathematical Society, c2008  x, 215 p. ; 22 cm シリーズ名: Student mathematical library ; v. 44 所蔵情報: loading…

 Vector spaces Linear operators and matrices Duality of vector spaces Determinants Invariant subspaces Operators on inner-product spaces Structure theorems Additional topics Appendix Index
 Vector spaces Linear operators and matrices Duality of vector spaces
14.

by Hans Schwerdtfeger
 出版情報: Groningen : P. Noordhoff, 1950  279 p. ; 25 cm 所蔵情報: loading…
15.

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…

 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
16.

Carl Meyer
 出版情報: Philadelphia : Society for Industrial and Applied Mathematics (SIAM), c2000  2 v. ; 25 cm. 所蔵情報: loading…

 Preface Linear Equations / 1.： Introduction / 1.1： Gaussian Elimination and Matrices / 1.2： Gauss-Jordan Method / 1.3： Two-Point Boundary Value Problems / 1.4： Making Gaussian Elimination Work / 1.5： Ill-Conditioned Systems / 1.6： Rectangular Systems and Echelon Forms / 2.： Row Echelon Form and Rank / 2.1： Reduced Row Echelon Form / 2.2： Consistency of Linear Systems / 2.3： Homogeneous Systems / 2.4： Nonhomogeneous Systems / 2.5： Electrical Circuits / 2.6： Matrix Algebra / 3.： From Ancient China to Arthur Cayley / 3.1： Addition and Transposition / 3.2： Linearity / 3.3： Why Do It This Way / 3.4： Matrix Multiplication / 3.5： Properties of Matrix Multiplication / 3.6： Matrix Inversion / 3.7： Inverses of Sums and Sensitivity / 3.8： Elementary Matrices and Equivalence / 3.9： The LU Factorization / 3.10： Vector Spaces / 4.： Spaces and Subspaces / 4.1： Four Fundamental Subspaces / 4.2： Linear Independence / 4.3： Basis and Dimension / 4.4： More about Rank / 4.5： Classical Least Squares / 4.6： Linear Transformations / 4.7： Change of Basis and Similarity / 4.8： Invariant Subspaces / 4.9： Norms, Inner Products, and Orthogonality / 5.： Vector Norms / 5.1： Matrix Norms / 5.2： Inner-Product Spaces / 5.3： Orthogonal Vectors / 5.4： Gram-Schmidt Procedure / 5.5： Unitary and Orthogonal Matrices / 5.6： Orthogonal Reduction / 5.7： Discrete Fourier Transform / 5.8： Complementary Subspaces / 5.9： Range-Nullspace Decomposition / 5.10： Orthogonal Decomposition / 5.11： Singular Value Decomposition / 5.12： Orthogonal Projection / 5.13： Why Least Squares? / 5.14： Angles between Subspaces / 5.15： Determinants / 6.： Additional Properties of Determinants / 6.1： Eigenvalues and Eigenvectors / 7.： Elementary Properties of Eigensystems / 7.1： Diagonalization by Similarity Transformations / 7.2： Functions of Diagonalizable Matrices / 7.3： Systems of Differential Equations / 7.4： Normal Matrices / 7.5： Positive Definite Matrices / 7.6： Nilpotent Matrices and Jordan Structure / 7.7： Jordan Form / 7.8： Functions of Nondiagonalizable Matrices / 7.9： Difference Equations, Limits, and Summability / 7.10： Minimum Polynomials and Krylov Methods / 7.11： Perron-Frobenius Theory / 8.： Positive Matrices / 8.1： Nonnegative Matrices / 8.3： Stochastic Matrices and Markov Chains / 8.4： Index
 Preface Linear Equations / 1.： Introduction / 1.1：
17.

Jens A. Jensen, John H. Rowland
 出版情報: Glenview, Ill. : Scott, Foresman, [1975]  303 p. ; 24 cm 所蔵情報: loading…
18.

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…
19.

par J. Larrieu
 出版情報: Paris : Dunod, 1965  168, [1] p ; 24 cm 所蔵情報: loading…
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21.

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…

 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：
22.

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…

 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：
23.

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…

 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
24.

Dominic G. B. Edelen, Anastasios D. Kydoniefs
 出版情報: New York : Elsevier, c1976  xvii, 269 p. ; 24 cm 所蔵情報: loading…
25.

Serge Lang
26.

by Nicolaas H. Kuiper
 出版情報: Amsterdam : North-Holland, 1962  viii, 284 p. ; 23 cm 所蔵情報: loading…
27.

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…
28.

Alexander Graham
 出版情報: Chichester [Eng.] : E. Horwood , New York : Halsted Press, c1979  295 p. ; 23 cm シリーズ名: Ellis Horwood series in mathematics and its applications 所蔵情報: loading…
29.

Hans Blomberg and Raimo Ylinen
 出版情報: London ; New York : Academic Press, 1983  xx, 360 p. ; 24 cm シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 166 所蔵情報: loading…
30.

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…
31.

David M. Bloom
 出版情報: Cambridge : Cambridge University Press, 1979  xiii, 625 p. ; 23 cm 所蔵情報: loading…
32.

Alexander Abian
 出版情報: New York : Pergamon Press, c1971  vii, 166 p. ; 24 cm 所蔵情報: loading…
33.

by Hans Schwerdtfeger
 出版情報: Groningen : P. Noordhoff, 1961 [c1950]  288 p. ; 25 cm 所蔵情報: loading…
34.

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…

 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
35.

Warren Brisley
 出版情報: Sydney ; New York : J. Wiley & Sons Australasia, [1973]  vi, 189 p ; 25 cm 所蔵情報: loading…

 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'."
36.

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…
37.

[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…
38.

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…
39.

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…
40.

by Chris Rorres, Howard Anton
 出版情報: New York : Wiley, c1977  ix, 233 p. ; 23 cm 所蔵情報: loading…
41.

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…
42.

Evar D. Nering
 出版情報: New York : J. Wiley, [1963]  289 p. ; 24 cm 所蔵情報: loading…
43.

[by] F. A. Ficken
 出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1964  1v. ; 22 cm 所蔵情報: loading…
44.

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…

 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
45.

Ben Noble
 出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1969  xvi, 523 p. ; 25 cm 所蔵情報: loading…
46.

translated from the Russian by Richard A. Silverman
 出版情報: Englewood Cliffs, N.J. : Prentice-Hall, 1961  310 p. ; 24 cm 所蔵情報: loading…
47.

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…
48.

Daniel Pedoe
 出版情報: New York : Wiley, [1963]  xi, 224 p ; 24 cm 所蔵情報: loading…
49.

[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…
50.

Irving Reiner
 出版情報: New York : Holt, Rinehart and Winston, c1971  v, 154 p ; 23 cm 所蔵情報: loading…
51.

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…
52.

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…
53.

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…
54.

[by] Charles W. Curtis
 出版情報: Boston : Allyn and Bacon, [1974]  ix, 337 p ; 24 cm 所蔵情報: loading…
55.

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…
56.

[by] V. I. Smirnov. Rev., adapted, and edited by Richard A. Silverman
 出版情報: New York : [Dover Publications], 1970, c1961  x, 464 p ; 22 cm 所蔵情報: loading…
57.

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…

 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：
58.

[by] Heinrich W. Brinkmann [and] Eugene A. Klotz
59.

[by] Wilfred Kaplan, Donald J. Lewis
 出版情報: New York : Wiley, c1970  xiv, 640 p. ; 25 cm シリーズ名: Calculus and linear algebra ; v. 1 所蔵情報: loading…
60.

[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…
61.

by Samuel Wolfenstein
 出版情報: San Francisco : Holden-Day, [1969]  xii, 254 p ; 24 cm シリーズ名: Holden-Day series in mathematics 所蔵情報: loading…
62.

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…
63.

Gareth, Williams
 出版情報: New York : Gordon and Breach Science, c1972  xi, 204 p ; 24 cm 所蔵情報: loading…
64.

Jean Dieudonné
 出版情報: Paris : Hermann, c1969  207 p. ; 23 cm 所蔵情報: loading…
65.

[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…
66.

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…
67.

Franklin Lowenthal
 出版情報: New York : Wiley, c1975  xi, 305 p. ; 24 cm 所蔵情報: loading…
68.

Frank M. Stewart
 出版情報: Princeton, N.J. : Van Nostrand, c1963  xv, 281 p. ; 24 cm シリーズ名: The university series in undergraduate mathematics 所蔵情報: loading…
69.

Gilbert Strang

 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：
70.

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…
71.

David M. Burton
72.

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…
73.

Richard S. Palais
 出版情報: New York : W.A. Benjamin, 1968  vii, 131 p. ; 28 cm シリーズ名: Mathematics lecture note series 所蔵情報: loading…
74.

[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…
75.

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…
76.

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…
77.

[by] R.R. Stoll and E.T. Wong
78.

[by] Wilfred Kaplan , Donald J. Lewis
 出版情報: New York : Wiley, 1971  p. 641-1197 ; 25 cm シリーズ名: Calculus and linear algebra ; vol. 2 所蔵情報: loading…
79.

I.M. Glazman, Ju. I. Ljubič ; translated and edited by G.P. Barker G. Kuerti
 出版情報: Cambridge, Mass. : MIT Press, c1974  xiv, 520 p. ; 24 cm 所蔵情報: loading…
80.

William C. Brown
 出版情報: New York : Wiley, c1988  x, 264 p. ; 24 cm 所蔵情報: loading…
81.

Katsumi Nomizu
 出版情報: New York : McGraw-Hill, [c1966]  x, 325 p. ; 24 cm 所蔵情報: loading…
82.

I.M. Gel'fand ; translated from the rev. second Russian ed., by A. Shenitzer
 出版情報: New York : Interscience Publishers, c1961  ix, 185 p. ; 24 cm シリーズ名: Interscience tracts in pure and applied mathematics ; no. 9 所蔵情報: loading…
83.

[by] Richard E. Williamson [and] Hale F. Trotter
 出版情報: Englewood Cliffs, N.J. : Prentice-Hall, [1974]  ix, 630 p. ; 25 cm 所蔵情報: loading…

 04104-08 Trade Math One (20 Hours) Builds on trainees' basic math skills to solve trade-reproblems Covers calculations using denomiand volume calculations, English-metric system conversbasic geometry, and calculation of stretchouts
 04104-08 Trade Math One (20 Hours) Builds on trainees' basic math skills to solve trade-reproblems Covers calculations using denomiand volume calculations, English-metric system conversbasic geometry, and calculation of stretchouts
84.

Serge Lang
85.

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 所蔵情報: loading…
86.

edited by D.G. Corneil and R. Mathon
87.

[by] Bert W. Rust [and] Walter R. Burrus
 出版情報: New York : American Elsevier Pub. Co., 1972  x, 218 p. ; 24 cm シリーズ名: Modern analytic and computational methods in science and mathematics ; v. 38 所蔵情報: loading…
88.

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 所蔵情報: loading…
89.

Daniel Pedoe
 出版情報: Bronx, N.Y. : Chelsea Pub. Co., c1976  xi, 226 p. ; 24 cm 所蔵情報: loading…
90.

[by] James A. Hummel
91.

Leopoldo V. Toralballa
92.

Hans Samelson
 出版情報: New York : Wiley, c1974  xi, 265 p ; 24 cm シリーズ名: Pure and applied mathematics : a Wiley-Interscience series of monographs, and tracts 所蔵情報: loading…
93.

Anthony J. Pettofrezzo
 出版情報: New York : Dover Publications, [1978, c1966] , London : Constable, 1978  x, 133p ; 21cm シリーズ名: Dover books on advanced mathematicsTeachers' mathematics reference series 所蔵情報: loading…

 Matrices / 1： Definitions and Elementary Properties / 1.1： Matrix Multiplication / 1.2： Diagonal Matrices / 1.3： Special Real Matrices / 1.4： Special Complex Matrices / 1.5： Inverse and Systems of Matrices / 2： Determinants / 2.1： Inverse of a Matrix / 2.2： Systems of Matrices / 2.3： Rank of a Matrix / 2.4： Systems of Linear Equations / 2.5： Transformation of the Plane / 3： Mappings / 3.1： Rotations / 3.2： Reflections, Dilations, and Magnifications / 3.3： Other Transformations / 3.4： Linear Homogeneous Transformations / 3.5： Orthogonal Matrices / 3.6： Translations / 3.7： Rigid Motion Transformations / 3.8： Eigenvalues and Eigenvectors / 4： Characteristic Functions / 4.1： A Geometric Interpretaion of Eigenvectors / 4.2： Some Theorems / 4.3： Diagonalization of Matrices / 4.4： The Hamilton-Cayley Theorem / 4.5： Quadratic Forms / 4.6： Classification of the Conics / 4.7： Invariants for Conics / 4.8： Bibliography Answers to Odd-Numbered Exercises Index
 Matrices / 1： Definitions and Elementary Properties / 1.1： Matrix Multiplication / 1.2：
94.

Arno Jaeger
 出版情報: New York : Holt, Rinehart and Winston, c1960  305 p ; 24 cm 所蔵情報: loading…
95.

[by] Richard C. MacCamy, Victor J. Mizel
 出版情報: London,[New York] : Macmillan, c1969  xiii, 561 p ; 24 cm シリーズ名: Textbooks in applied mathematics 所蔵情報: loading…
96.

Philip E. Gill, Walter Murray, Margaret H. Wright
97.

T.S. Blyth
 出版情報: Oxford [England] : Clarendon Press , New York : Oxford University Press, 1990  vi, 360 p. ; 24 cm 所蔵情報: loading…

 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：
98.

by Kenneth Hoffman and Ray Kunze
 出版情報: Englewood Cliffs, N.J. : Prentice-Hall, 1961  332 p ; 24 cm シリーズ名: Prentice-Hall mathematics series / Albert A. Bennett, editor 所蔵情報: loading…
99.

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 所蔵情報: loading…

 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
100.

by Daniel T. Finkbeiner, II ; drawings by Evan Gillespie
 出版情報: San Francisco : W.H. Freeman , Tokyo : Charles E. Tuttle, 1960  248 p.: ill. ; 22 cm 所蔵情報: loading…

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