Linear Algebra: Algorithms, Application, and Techniques, 3/e (Paperback)

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Linear Algebra: Algorithms, Application, and Techniques, 3/e (Paperback)

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內容描述

<內容簡介>
•Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs•Provides a balanced approach to computation and theory by offering computational algorithms for finding eigenvalues and eigenvectors •Offers excellent exercise sets, ranging from drill to theoretical/challeging along with useful and interesting applications not found in other introductory linear algebra textsEditorial Reviews"The quality of the exercises is better than that of Anton. Bronson's exercises seem more original and less trivial. While he does have routine drill problems his non-routine problems require the student to either extend the student's knowledge base or fill in a portion of a proof."--Renee Britt, Louisiana State University"I appreciate the slow increase in the progression of difficulty with proofs... I regard the exposition as superior. Prof. Bronson's text is the best example I've ever seen of motivating definitions in linear algebra, right from the very first page... Bronson incorporates the application first, thus motivating the definition, going from concrete to abstract, instead of the reverse."--Michael Ecker, The Pennsylvania State University  

<章節目錄>

1. MATRICES2. VECTOR SPACES3. LINEAR TRANSFORMATIONS4. EIGENVALUES, EIGENVECTORS, AND DIFFERENTIAL EQUATIONS5. APPLICAIONS OF EIGENVALUES6. EUCLIDEAN INNER PRODUCTAPPENDIX A: JORDAN CANONICAL FORMSAPPENDIX B: MARKOV CHAINSAPPENDIX C: MORE ON SPANNING TREES OF GRAPHSAPPENDIX D: TECHNOLOGYAPPENDIX E: MATHEMATICAL INDUCTIONANSWERS AND HINTS TO SELECTED PROBLEMS