Elementary Linear Algebra

Book by Andrilli, Stephen Francis, Hecker, David

Stephen Andrilli and David Hecker's Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study.
The authors give early, intensive attention to the skills necessary to make learners comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to the general theory of abstract vector spaces. It also provides flexible coverage of practical applications, exploring a comprehensive range of topics.
The Second Edition encourages the use of computer software or calculators for reducing the rote calculations inherent in any linear algebra course, but the vast majority of the computational exercises are not reliant on technology.
Key Features of the Second Edition
* A unique section (1.3) is devoted exclusively to the techniques involved in reading and writing short algebraic proofs.
* An illustrative example is included for most theorems.
* Over 750 exercises, with over 1750 questions, range from the purely computational to the writing of proofs.
* Early introduction to eigenvalues and eignvectors.
* A special section (4.6) illustrates several techniques for constructing bases.
* An exclusive chapter of applications offers flexible coverage.
A new appendix serves as an introduction to computer software packages, including MATLAB 5, Mathematica 3.0, and Derive for Windows 4.10. It also includes coverage of graphing calculators.
"One of the strengths of this text is the large number of proof exercises. The fact that a theorem could be so hard to prove in Chapter 2 but relatively easy to prove in Chapter 5 is a victory for abstraction."
--Raymond E. Heitmann, University of Texas at Austin
"The book is a well organized and has an excellent format for learning. Examples and exercises are the heart and soul of any lower-level mathematics text and (this text) is strong on both accounts."
--Richard Hodel, Duke University
"The book is a masterly work in linear algebra."
--Masood Otarod, University of Scranton