This book avoids the traditional definition-theorem-proof format; instead a fresh approach introduces a variety of problems and examples all in a clear and informal style. The in-depth focus on applications separates this book from others, and helps students to see how linear algebra can be applied to real-life situations. Some of the more contemporary topics of applied linear algebra are included here which are not normally found in undergraduate textbooks. Theoretical developments are always accompanied with detailed examples, and each section ends with a number of exercises from which students can gain further insight. Moreover, the inclusion of historical information provides personal insights into the mathematicians who developed this subject. The textbook contains numerous examples and exercises, historical notes, and comments on numerical performance and the possible pitfalls of algorithms. Solutions to all of the exercises are provided, as well as a CD-ROM containing a searchable copy of the textbook.
"I will say that I really enjoy the prose. It is a rare combination when the enthusiasm shines through, focused by erudition." Cleve Ashcraft, Livermore Software Technology Corporation.
"I like the book: the theory is sound, numerical performance and possible pitfalls of the algorithms are well discussed, and it contains interesting historical remarks." Walter Gander, Chairman, Computer Science Department, ETH Zurich.
In this text, Meyer (mathematics, North Carolina State U.) circumvents the traditional definition-theorem-proof format by focusing on applications. He includes some of the more contemporary topics of applied linear algebra, uses modern concepts and notation, and accompanies theoretical developments with examples. The eight chapters cover linear equations, rectangular systems and echelon forms, matrix algebra, vector spaces, determinants, Eigenvalues and Eigenvectors, Perron-Frobenius theory, and norms, inner products, and orthogonality. The included CD-ROM contains a searchable copy of the entire textbook and all solutions, as well as detailed information on topics mentioned in examples, references, thumbnail sketches and photographs of mathematicians, and a history of linear algebra and computing. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Preface; 1. Linear equations; 2. Rectangular systems and echelon forms; 3. Matrix algebra; 4. Vector spaces; 5. Norms, inner products, and orthogonality; 6. Determinants; 7. Eigenvalues and Eigenvectors; 8. Perron-Frobenius theory of nonnegative matrices; Index.