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Matrices and Linear Transformations
"Comprehensive . . . an excellent introduction to the subject." — Electronic Engineer's Design Magazine.
This introductory textbook, aimed at sophomore- and junior-level undergraduates in mathematics, engineering, and the physical sciences, offers a smooth, in-depth treatment of linear algebra and matrix theory. The major objects of study are matrices over an arbitrary field.
Contents include Matrices and Linear Systems; Vector Spaces; Determinants; Linear Transformations; Similarity: Part I and Part II; Polynomials and Polynomial Matrices; Matrix Analysis; and Numerical Methods.
The first seven chapters, which require only a first course in calculus and analytic geometry, deal with matrices and linear systems, vector spaces, determinants, linear transformations, similarity, polynomials, and polynomial matrices. Chapters 8 and 9, parts of which require the student to have completed the normal course sequence in calculus and differential equations, provide introductions to matrix analysis and numerical linear algebra, respectively. Among the key features are coverage of spectral decomposition, the Jordan canonical form, the solution of the matrix equation AX = XB, and over 375 problems, many with answers.
This introductory textbook, aimed at sophomore- and junior-level undergraduates in mathematics, engineering, and the physical sciences, offers a smooth, in-depth treatment of linear algebra and matrix theory. The major objects of study are matrices over an arbitrary field.
Contents include Matrices and Linear Systems; Vector Spaces; Determinants; Linear Transformations; Similarity: Part I and Part II; Polynomials and Polynomial Matrices; Matrix Analysis; and Numerical Methods.
The first seven chapters, which require only a first course in calculus and analytic geometry, deal with matrices and linear systems, vector spaces, determinants, linear transformations, similarity, polynomials, and polynomial matrices. Chapters 8 and 9, parts of which require the student to have completed the normal course sequence in calculus and differential equations, provide introductions to matrix analysis and numerical linear algebra, respectively. Among the key features are coverage of spectral decomposition, the Jordan canonical form, the solution of the matrix equation AX = XB, and over 375 problems, many with answers.
Reprint of the Addison-Wesley Publishing Company, Reading, Massachusetts, second, 1972 edition.
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Matrices and Linear Transformations—
$25.00
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Description
"Comprehensive . . . an excellent introduction to the subject." — Electronic Engineer's Design Magazine.
This introductory textbook, aimed at sophomore- and junior-level undergraduates in mathematics, engineering, and the physical sciences, offers a smooth, in-depth treatment of linear algebra and matrix theory. The major objects of study are matrices over an arbitrary field.
Contents include Matrices and Linear Systems; Vector Spaces; Determinants; Linear Transformations; Similarity: Part I and Part II; Polynomials and Polynomial Matrices; Matrix Analysis; and Numerical Methods.
The first seven chapters, which require only a first course in calculus and analytic geometry, deal with matrices and linear systems, vector spaces, determinants, linear transformations, similarity, polynomials, and polynomial matrices. Chapters 8 and 9, parts of which require the student to have completed the normal course sequence in calculus and differential equations, provide introductions to matrix analysis and numerical linear algebra, respectively. Among the key features are coverage of spectral decomposition, the Jordan canonical form, the solution of the matrix equation AX = XB, and over 375 problems, many with answers.
This introductory textbook, aimed at sophomore- and junior-level undergraduates in mathematics, engineering, and the physical sciences, offers a smooth, in-depth treatment of linear algebra and matrix theory. The major objects of study are matrices over an arbitrary field.
Contents include Matrices and Linear Systems; Vector Spaces; Determinants; Linear Transformations; Similarity: Part I and Part II; Polynomials and Polynomial Matrices; Matrix Analysis; and Numerical Methods.
The first seven chapters, which require only a first course in calculus and analytic geometry, deal with matrices and linear systems, vector spaces, determinants, linear transformations, similarity, polynomials, and polynomial matrices. Chapters 8 and 9, parts of which require the student to have completed the normal course sequence in calculus and differential equations, provide introductions to matrix analysis and numerical linear algebra, respectively. Among the key features are coverage of spectral decomposition, the Jordan canonical form, the solution of the matrix equation AX = XB, and over 375 problems, many with answers.
Reprint of the Addison-Wesley Publishing Company, Reading, Massachusetts, second, 1972 edition.
matrix operations;pure mathematics;differential equations;functional analysis;analytic geometry;optimal control;ordinary differential;theory stands;applied math;maximum information;number theory;vector spaces;signal processing;math majors;linear equations;markov chains;numerical methods;missing concepts;graph theory;abstract algebra;self study;primitive roots;partial differential;communication theory;mathematical notation;assigned textbook;mathematical rigor;pure math;math text;mathematical proofs;advanced concepts;linear algebra;mathematical background;probability theory;mathematical theory;claude shannon;advanced topics;information theory;classic text;graduate level;practical applications;introductory text;liberal arts;deeper understanding;firm grasp;farlow;pinsky;dieudonne;vectors;pugh;kemeny;berge;haberman;bostock;digits;krantz;eigenvalues;topology;chartrand;tenenbaum;bartle;polynomials;dudley;bessel;boyce;combinatorial;coefficients;one-semester;laplace;hamiltonian;axler;quadratic;fourier;diff;determinants;self-study;calculus;hardy;stewart;functions;manual;theorems;pollard;odes;trudeau;solutions;taylor;entropy;canonical;graphs;rigorous;suggestion;exercises;complaints;books on differential equations;books on self studies;books on numerical methods;books on theory stands;books on graph theories;books on analytic geometries;books on signal processings;books on applied maths;books on functional analysis;books on optimal controls;books on pure mathematics
