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A Course in Linear Algebra (Dover Books on Mathematics)

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A Course in Linear Algebra (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Synopsis:

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

Preface
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
Solutions
Index
 
 

Product Details

ISBN:
9780486469089
Author:
Damiano, David B.
Publisher:
Dover Publications
Author:
Mathematics
Author:
Little, John B.
Subject:
Algebra - Linear
Subject:
Mathematics-Linear Algebra
Subject:
Linear Algebra
Subject:
Mathematics
Subject:
Vector spaces
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20110931
Binding:
TRADE PAPER
Grade Level:
General/trade
Language:
English
Pages:
462
Dimensions:
9.25 x 6.13 in 1.22 lb

Related Subjects


Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Calculus » General

A Course in Linear Algebra (Dover Books on Mathematics) New Trade Paper
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Product details 462 pages Dover Publications - English 9780486469089 Reviews:
"Synopsis" by ,
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.
"Synopsis" by ,
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.
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