Research and Markets: Linear Algebra: Ideas and Applications, 3rd Edition Provides a Unified Introduction to Linear Algebra

Research and Markets (http://www.researchandmarkets.com/research/98bb14/linear_algebra_id) has announced the addition of John Wiley and Sons Ltd's new report "Linear Algebra: Ideas and Applications, 3rd Edition" to their offering.

This book is intended for a first level linear algebra course with an emphasis on theory. The third edition has been updated and revised, but its parallel structure (abstract concepts are introduced along with computational) concepts remains intact. Numerous updates have been added to the third edition such as two new chapters on numerical linear algebra and the Jordan normal form. Full sections on both Hermitian and Unitary matrices have been added, as well as sections on computational linear algebra and wavelets. Chapter summaries tie together the major points of the chapter and act as an overview for the reader.

The text is complete with applications when and where appropriate. Most sections are followed by at least one application section, which includes two different types of exercises: Self-Study Questions and Exercises. The exercises have been greatly increased and consist of application, numerical, and conceptual questions, and each exercise section begins with True-False questions. This book is intended for students taking a linear algebra course and covers a number of applications of linear algebra. It features a unique treatment of vector spaces, proofs, and computations. The text explores linear algebra using an approach that introduces abstract concepts as they are needed to fully understand the computations. A student solutions manual is available and contains worked out examples, further hints for selected exercises, and translations of the computer exercises into various platforms, i.e. MapleTM (Version 11), MATLAB, and TI calculators.

This expanded new edition presents a thorough and up-to-date introduction to the study of linear algebra. Linear Algebra, Third Edition provides a unified introduction to linear algebra while reinforcing and emphasizing a conceptual and hands-on understanding of the essential ideas. Promoting the development of intuition rather than the simple application of methods, the book successfully helps readers to understand not only how to implement a technique, but why its use is important. The book outlines an analytical, algebraic, and geometric discussion of the provided definitions, theorems, and proofs. For each concept, an abstract foundation is presented together with its computational output, and this parallel structure clearly and immediately illustrates the relationship between the theory and its appropriate applications.

Key Topics Covered:

• Preface.
• Features of the Text.
• 1. Systems of Linear Equations.
• 2. Linear Independence and Dimension.
• 3. Linear Transformations.
• 4. Determinants.
• 5. Eigenvectors and Eigenvalues.
• 6. Orthogonality.
• 7. Generalized Eigenvectors.
• 8. Numerical Techniques.
• Answers and Hints.
• Index.

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