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xiii, 157 pages : illustrations ; 26 cm
  • Preface-- 1. Introduction and review-- 2. Vector spaces-- 3. Linear transformations-- 4. Introduction to the Moore-Penrose pseudoinverse-- 5. Introduction to the singular value decomposition-- 6. Linear equations-- 7. Projections, inner product spaces, and norms-- 8. Linear least squares problems-- 9. Eigenvalues and eigenvectors-- 10. Canonical forms-- 11. Linear differential and difference equations-- 12. Generalized eigenvalue problems-- 13. Kronecker products-- Bibliography-- Index.
  • (source: Nielsen Book Data)9780898715767 20171227
Matrix Analysis for Scientists and Engineers provides a blend of undergraduate- and graduate-level topics in matrix theory and linear algebra that relieves instructors of the burden of reviewing such material in subsequent courses that depend heavily on the language of matrices. Consequently, the text provides an often-needed bridge between undergraduate-level matrix theory and linear algebra and the level of matrix analysis required for graduate-level study and research. The text is sufficiently compact that the material can be taught comfortably in a one-quarter or one-semester course. Throughout the book, the author emphasizes the concept of matrix factorization to provide a foundation for a later course in numerical linear algebra. The author addresses connections to differential and difference equations as well as to linear system theory and encourages instructors to augment these examples with other applications of their own choosing.
(source: Nielsen Book Data)9780898715767 20171227
Science Library (Li and Ma)
xii, 718 p. : ill. ; 25 cm. + 1 computer optical disc (4 3/4 in.)
  • 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.
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.
(source: Nielsen Book Data)9780898714548 20160528
Science Library (Li and Ma)