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