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The linear algebra survival guide : illustrated with mathematica /
The Linear Algebra Survival Guide offers a concise introduction to the difficult core topics of linear algebra, guiding you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple - allowing you to tackle realistic problems using simple...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
Elsevier,
[2015]
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 050 | 4 | |a QA184.2 | |
| 072 | 7 | |a MAT |x 002040 |2 bisacsh | |
| 082 | 0 | 4 | |a 512.5 |2 23 |
| 100 | 1 | |a Szabo, Fred, |e author. | |
| 245 | 1 | 4 | |a The linear algebra survival guide : |b illustrated with mathematica / |c Fred Szabo, PhD. |
| 264 | 1 | |a Amsterdam : |b Elsevier, |c [2015] | |
| 264 | 4 | |c �2015 | |
| 300 | |a 1 online resource : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 500 | |a Includes index. | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed March 6, 2015). | |
| 505 | 0 | |a Front Cover -- The Linear Algebra Survival Guide: Illustrated with Mathematica -- Copyright -- About the Matrix Plot -- Table of Contents -- Preface -- Dedication -- About the Author -- Introduction -- Chapter 1: A -- Addition of Matrices -- Adjacency Matrix -- Adjoint Matrix -- Adjoint Transformation -- Adjugate of a Matrix -- Affine Transformation -- Algebraic Multiplicity of an Eigenvalue -- Angle -- Area of a Parallelogram -- Area of a Triangle -- Array -- Arrow -- Augmented Matrix -- Chapter 2: B -- Back Substitution -- Band Matrix -- Basic Variable of a Linear System -- Basis of a Vector Space -- Bijective Linear Transformation -- Bilinear Functional -- Chapter 3: C -- Cartesian Product of Vector Spaces -- Cauchy-Schwarz Inequality -- Cayley-Hamilton Theorem -- Change-of-Basis Matrix -- Characteristic Polynomial -- Cholesky Decomposition -- Codimension of a Vector Subspace -- Codomain of a Linear Transformation -- Cofactor Matrix -- Column Space -- Column Vector -- Companion Matrix -- Complex Conjugate -- Composition of Linear Transformations -- Condition Number of a Matrix -- Congruence Transformation -- Congruent Symmetric Matrices -- Conjugate Transpose -- Consistent Linear System -- Contraction Along a Coordinate Axis -- Coordinate Conversion Matrix -- Coordinate System -- Coordinate Vector -- Correlation Coefficient -- Correlation Matrix -- Cosine of an Angle -- Covariance -- Covariance Matrix -- Cramer's Rule -- Cross Product -- Chapter 4: D -- Defective Matrix -- Determinant -- Diagonal -- Diagonal Decomposition -- Diagonal Matrix -- Diagonal of a Matrix -- Difference Equation -- Dimension of a Vector Space -- Dimensions of a Matrix -- Dirac Matrix -- Direct Sum of Vector Spaces -- Discrete Fourier Transform. | |
| 505 | 8 | |a Discriminant of a Hessian Matrix -- Disjoint Subspaces -- Distance Between a Point and a Plane -- Distance Function -- Domain of a Linear Transformation -- Dot Product -- Dual Space -- Chapter 5: E -- Echelon Form -- Eigenspace -- Eigenvalue -- Eigenvector -- Elementary Matrix -- Elementary Row Operation -- Euclidean Distance -- Euclidean Norm -- Euclidean Space -- Exact Solution -- Expansion Along a Coordinate Axis -- Exponential Form of Complex Numbers -- Chapter 6: F -- Finite-Dimensional Vector Space -- Forward Substitution -- Fourier Matrix -- Fourier Transform -- Fredholm's Theorem -- Free Variable of a Linear System -- Frobenius Companion Matrix -- Frobenius Norm -- Full Rank of a Matrix -- Fundamental Subspace -- Fundamental Theorem of Algebra -- Chapter 7: G -- Gaussian Elimination -- Gauss-Jordan Elimination -- General Solution of a Linear System -- Geometric Multiplicity of an Eigenvalue -- Geometric Transformation -- Gram-Schmidt Process -- Chapter 8: H -- Hankel Matrix -- Height of a Column Vector -- Hermitian Inner Product -- Hermitian Matrix -- Hessenberg Matrix -- Hessian Matrix -- Hilbert Matrix -- Homogeneous Coordinate -- Homogeneous Linear System -- Householder Matrix -- Chapter 9: I -- Identity Matrix -- Ill-Conditioned Matrix -- Image of a Linear Transformation -- Incidence Matrix -- Inconsistent Linear System -- Injective Linear Transformation -- Inner Product -- Inner Product Norm -- Inner Product Space -- Interpolating Polynomial -- Intersection of Subspaces -- Invariant Subspace -- Inverse of a Linear Transformation -- Inverse of a Matrix -- Invertible Matrix -- Isometry -- Isomorphism of Vector Spaces -- Chapter 10: J -- Jacobian Determinant -- Jordan Block -- Jordan Matrix -- Chapter 11: K. | |
| 505 | 8 | |a Kernel of a Linear Transformation -- Kronecker Delta -- Kronecker Product -- Chapter 12: L -- Law of Cosines -- Least Squares -- Left Null Space -- Length of a Vector -- Linear Combination -- Linear Dependence -- Linear Dependence Relation -- Linear Equation -- Linear Independence -- Linear Operator -- Linear System -- Linear Transformation -- Lower-Triangular Matrix -- LU Decomposition -- Chapter 13: M -- Manhattan Distance -- Markov Matrix -- Mathematica Domain of a Scalar -- Matrix -- Matrix Addition -- Matrix Decomposition -- Matrix Equation -- Matrix Norm -- Matrix Space -- Matrix-Vector Product -- Minimal Polynomial -- Minor Matrix -- Multiplication of Matrices -- Chapter 14: N -- Norm -- Normal Basis of a Vector Space -- Normal Equation -- Normal Matrix -- Normal to a Plane -- Normalization of a Matrix Equation -- Normalization of a Vector -- Normed Vector Space -- Null Space -- Nullity of a Matrix -- Chapter 15: O -- Orthogonal Basis -- Orthogonal Complement -- Orthogonal Decomposition -- Orthogonal Matrix -- Orthogonal Projection -- Orthogonal Transformation -- Orthogonal Vectors -- Orthogonality -- Orthogonalization -- Orthonormal Basis -- Overdetermined Linear System -- Chapter 16: P -- Particular Solution of a Linear System -- Pauli Spin Matrix -- Perfectly Conditioned Matrix -- Permutation Matrix -- Pivot Column of a Matrix -- Plane in Euclidean Space -- Polar Form of a Complex Number -- Polynomial Space -- Positive-Definite Matrix -- Principal Axis Theorem -- Product of Two Vector Spaces -- Pseudoinverse of a Matrix -- Pythagorean Theorem -- Chapter 17: Q -- QR Decomposition -- Quadratic Form -- Quintic Polynomial -- Chapter 18: R -- Random Matrix -- Range of a Linear Transformation -- Rank-Deficient Matrix -- Rank-Nullity Theorem -- Rank of a Matrix. | |
| 505 | 8 | |a Rational Canonical Form -- Rayleigh Quotient -- Rectangular Matrix -- Reduced Row Echelon Matrix -- Reflection -- Roots of Unity -- Rotation -- Row Echelon Matrix -- Row-Equivalent Matrices -- Row Space -- Row Vector -- Chapter 19: S -- Scalar -- Scalar Multiple of a Matrix -- Scalar Multiplication -- Scalar Triple Product -- Scaling -- Schur Decomposition -- Self-Adjoint Transformation -- Shear -- Sigma Notation -- Similar Matrices -- Similarity Matrix -- Similarity Transformation -- Singular Matrix -- Singular Value -- Singular Value Decomposition -- Singular Vector -- Skew Symmetric Matrix -- Solution of a Linear System -- Span of a List of Vectors -- Sparse Matrix -- Spectral Decomposition -- Spectral Theorem -- Square Matrix -- Standard Basis -- Standard Deviation of a Numerical Vector -- Stochastic Matrix -- Subdiagonal of a Matrix -- Submatrix -- Subspace -- Sum of Subspaces -- Superdiagonal of a Matrix -- Surjective Linear Transformation -- Sylvester's Theorem -- Symmetric Matrix -- System of Linear Equations -- Chapter 20: T -- Toeplitz Matrix -- Trace -- Transformation -- Transformational Geometry -- Transition Matrix -- Translation -- Transpose of a Matrix -- Triangle Inequality -- Triangular Matrix -- Chapter 21: U -- Underdetermined Linear System -- Unit Circle -- Unit Vector -- Unitary Matrix -- Upper-Triangular Matrix -- Chapter 22: V -- Vandermonde Matrix -- Variance of a Vector -- Vector -- Vector Addition -- Vector Component -- Vector Cross Product -- Vector Norm -- Vector Spaces -- Vector Triple Product -- Volume of a Parallelepiped -- Chapter 23: W -- Well-Conditioned Matrix -- Wronskian -- Chapter 24: Z -- Zero Matrix -- Zero Space -- Zero Vector -- Index. | |
| 520 | |a The Linear Algebra Survival Guide offers a concise introduction to the difficult core topics of linear algebra, guiding you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple - allowing you to tackle realistic problems using simple mathematical manipulations. This resource is therefore a guide to learning the content of Mathematica in a practical way, enabling you to manipulate potential solutions/outcomes, and learn creatively. No starting knowledge of the Mathematica system is required to use the book. Desktop, laptop, web-based versions of Mathematica are available on all major platforms. Mathematica Online for tablet and smartphone systems are also under development and increases the reach of the guide as a general reference, teaching and learning tool. Includes computational oriented information that complements the essential topics in linear algebra. Presents core topics in a simple, straightforward way with examples for exploring computational illustrations, graphics, and displays using Mathematica. Provides numerous examples of short code in the text, which can be modified for use with exercises to develop graphics displays for teaching, learning, and demonstrations. | ||
| 650 | 0 | |a Algebras, Linear. | |
| 650 | 6 | |a Alg�ebre lin�eaire. |0 (CaQQLa)201-0001189 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Algebras, Linear |2 fast |0 (OCoLC)fst00804946 | |
| 650 | 7 | |a Lineare Algebra |2 gnd |0 (DE-588)4035811-2 | |
| 776 | 0 | 8 | |i Erscheint auch als: |n Druck-Ausgabe |a Szabo, Fred. The Linear Algebra Survival Guide . |t Illustrated with Mathematica |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780124095205 |z Texto completo |