Essential Linear Algebra with Applications

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Release : 2014-10-14
Genre : Mathematics
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Book Rating : 361/5 ( reviews)

Essential Linear Algebra with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Essential Linear Algebra with Applications write by Titu Andreescu. This book was released on 2014-10-14. Essential Linear Algebra with Applications available in PDF, EPUB and Kindle. Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science. Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject’s hallmark.

Basic Linear Algebra

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Release : 2013-12-01
Genre : Mathematics
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Book Rating : 814/5 ( reviews)

Basic Linear Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Basic Linear Algebra write by T.S. Blyth. This book was released on 2013-12-01. Basic Linear Algebra available in PDF, EPUB and Kindle. Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book.

Introduction to Applied Linear Algebra

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Release : 2018-06-07
Genre : Business & Economics
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Book Rating : 965/5 ( reviews)

Introduction to Applied Linear Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Applied Linear Algebra write by Stephen Boyd. This book was released on 2018-06-07. Introduction to Applied Linear Algebra available in PDF, EPUB and Kindle. A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Matrix Operations for Engineers and Scientists

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Release : 2010-09-05
Genre : Science
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Book Rating : 749/5 ( reviews)

Matrix Operations for Engineers and Scientists - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Matrix Operations for Engineers and Scientists write by Alan Jeffrey. This book was released on 2010-09-05. Matrix Operations for Engineers and Scientists available in PDF, EPUB and Kindle. Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the University of Newcastle upon Tyne. He has given courses on engineering mathematics at UK and US Universities.

Linear Algebra in Action

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Release : 2023-07-18
Genre : Mathematics
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Book Rating : 066/5 ( reviews)

Linear Algebra in Action - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Algebra in Action write by Harry Dym. This book was released on 2023-07-18. Linear Algebra in Action available in PDF, EPUB and Kindle. This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.