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A Course in Linear Algebra (Dover Books on Mathematics)by David B. Damiano
Synopses & Reviews
Suitable for advanced undergraduates and graduate students, this text offers a complete introduction to the basic concepts of linear algebra. Interesting and inspiring in its approach, it imparts an understanding of the subject's logical structure as well as the ways in which linear algebra provides solutions to problems in many branches of mathematics.
The authors define general vector spaces and linear mappings at the outset and base all subsequent developments on these concepts. This approach provides a ready-made context, motivation, and geometric interpretation for each new computational technique. Proofs and abstract problem-solving are introduced from the start, offering students an immediate opportunity to practice applying what they've learned. Each chapter contains an introduction, summary, and supplementary exercises. The text concludes with a pair of helpful appendixes and solutions to selected exercises.
Suitable for advanced undergraduates and graduate students, this text introduces basic concepts of linear algebra. Each chapter features multiple examples, proofs, and exercises. Includes solutions to selected problems. 1988 edition.
Suitable for advanced undergraduates and graduate students, this text introduces basic concepts of linear algebra. Each chapter contains an introduction, definitions, and propositions, in addition to multiple examples, lemmas, theorems, corollaries, and proofs. Each chapter features numerous supplemental exercises, and solutions to selected problems appear at the end. 1988 edition.
About the Author
The authors are Professors of Mathematics at College of the Holy Cross.
Table of Contents
A Guide to the Exercises
1. Vector Spaces
2. Linear Transformations
3. The Determinant Function
4. Eigenvalues, Eigenvectors, Diagonalization, and the Spectral Theorem in Rn
5. Complex Numbers and Complex Vector Spaces
6. Jordan Canonical Form
7. Differential Equations
Appendix 1: Some Basic Logic and Set Theory
Appendix 2: Mathematical Induction
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