ISBN 10: 1118909585 / ISBN 13: 9781118909584
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Inhaltsangabe: PRAISE FOR THE THIRD EDITION THIS VOLUME IS GROUND-BREAKING IN TERMS OF MATHEMATICAL TEXTS IN THAT IT DOES NOT TEACH FROM A DETACHED PERSPECTIVE, BUT INSTEAD, LOOKS TO SHOW STUDENTS THAT COMPETENT MATHEMATICIANS BRING AN INTUITIVE UNDERSTANDING TO THE SUBJECT RATHER THAN JUST A MASTER OF APPLICATIONS. ELECTRIC REVIEW A COMPREHENSIVE INTRODUCTION, LINEAR ALGEBRA: IDEAS AND APPLICATIONS, FOURTH EDITION PROVIDES A DISCUSSION OF THE THEORY AND APPLICATIONS OF LINEAR ALGEBRA THAT BLENDS ABSTRACT AND COMPUTATIONAL CONCEPTS. WITH A FOCUS ON THE DEVELOPMENT OF MATHEMATICAL INTUITION, THE BOOK EMPHASIZES THE NEED TO UNDERSTAND BOTH THE APPLICATIONS OF A PARTICULAR TECHNIQUE AND THE MATHEMATICAL IDEAS UNDERLYING THE TECHNIQUE. THE BOOK INTRODUCES EACH NEW CONCEPT IN THE CONTEXT OF AN EXPLICIT NUMERICAL EXAMPLE, WHICH ALLOWS THE ABSTRACT CONCEPTS TO GROW ORGANICALLY OUT OF THE NECESSITY TO SOLVE SPECIFIC PROBLEMS. THE INTUITIVE DISCUSSIONS ARE CONSISTENTLY FOLLOWED BY RIGOROUS STATEMENTS OF RESULTS AND PROOFS. LINEAR ALGEBRA: IDEAS AND APPLICATIONS, FOURTH EDITION ALSO FEATURES: TWO NEW AND INDEPENDENT SECTIONS ON THE RAPIDLY DEVELOPING SUBJECT OF WAVELETS A THOROUGHLY UPDATED SECTION ON ELECTRICAL CIRCUIT THEORY ILLUMINATING APPLICATIONS OF LINEAR ALGEBRA WITH SELF-STUDY QUESTIONS FOR ADDITIONAL STUDY END-OF-CHAPTER SUMMARIES AND SECTIONS WITH TRUE-FALSE QUESTIONS TO AID READERS WITH FURTHER COMPREHENSION OF THE PRESENTED MATERIAL NUMEROUS COMPUTER EXERCISES THROUGHOUT USING MATLAB® CODE LINEAR ALGEBRA: IDEAS AND APPLICATIONS, FOURTH EDITION IS AN EXCELLENT UNDERGRADUATE-LEVEL TEXTBOOK FOR ONE OR TWO SEMESTER COURSES FOR STUDENTS MAJORING IN MATHEMATICS, SCIENCE, COMPUTER SCIENCE, AND ENGINEERING. WITH AN EMPHASIS ON INTUITION DEVELOPMENT, THE BOOK IS ALSO AN IDEAL SELF-STUDY R

Reseña del editor: Linear Algebra: Ideas and Applications, Fourth 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, this book successfully helps readers to understand not only how to implement a technique, but why its use is important. In addition, the author 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. The Fourth Edition features new coverage on orthogonal wavelets, which is a cutting edge application of linear algebra that has only become prominent within the last 10 years. 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. A Student Solutions Manual containing solutions to the odd numbered problems is available to further aid in reader comprehension, and an Instructor's Solutions Manual (inclusive of suggested syllabi) is available via written request to the Publisher. Both the Student and Instructor Manuals also have been enhanced with further discussions of the applications sections, which is ideal for readers who wish to obtain a deeper knowledge than that provided by pure algorithmic approaches. A related website houses the referenced MATLAB code as well as full-color images of select figures.

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