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Linear Algebra in Action

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 136/5 ( reviews)

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Book Synopsis Linear Algebra in Action by : Harry Dym

Download or read book Linear Algebra in Action written by Harry Dym. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra permeates mathematics, perhaps more so than any other single subject. It plays an essential role in pure and applied mathematics, statistics, computer science, and many aspects of physics and engineering. This book 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 wishes he had been taught as a graduate student. Roughly the first third of the book covers the basic material of a first course in linear algebra. The remaining chapters are devoted to applications drawn from vector calculus, numerical analysis, control theory, complex analysis, convexity and functional analysis. In particular, fixed point theorems, extremal problems, matrix equations, zero location and eigenvalue location problems, and matrices with nonnegative entries are discussed. Appendices on useful facts from analysis and supplementary information from complex function theory are also provided for the convenience of the reader. The book is suitable as a text or supplementary reference for a variety of courses on linear algebra and its applications, as well as for self-study.

Algebra in Action

2017 Algebra
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Release : 2017
Genre : Algebra
Kind : eBook
Book Rating : 612/5 ( reviews)

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Book Synopsis Algebra in Action by : Shahriar Shahriari

Download or read book Algebra in Action written by Shahriar Shahriari. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.

Introduction to Applied Linear Algebra

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

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd. This book was released on 2018-06-07. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Applied Linear Algebra in Action

2016-07-06 Mathematics
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Release : 2016-07-06
Genre : Mathematics
Kind : eBook
Book Rating : 196/5 ( reviews)

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Book Synopsis Applied Linear Algebra in Action by : Vasilios Katsikis

Download or read book Applied Linear Algebra in Action written by Vasilios Katsikis. This book was released on 2016-07-06. Available in PDF, EPUB and Kindle. Book excerpt: The present text book contains a collection of six high-quality articles. In particular, this book is devoted to Linear Mathematics by presenting problems in Applied Linear Algebra of general or special interest.

Linear Algebra for the Young Mathematician

2019-10-29 Education
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Release : 2019-10-29
Genre : Education
Kind : eBook
Book Rating : 844/5 ( reviews)

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Book Synopsis Linear Algebra for the Young Mathematician by : Steven H. Weintraub

Download or read book Linear Algebra for the Young Mathematician written by Steven H. Weintraub. This book was released on 2019-10-29. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra for the Young Mathematician is a careful, thorough, and rigorous introduction to linear algebra. It adopts a conceptual point of view, focusing on the notions of vector spaces and linear transformations, and it takes pains to provide proofs that bring out the essential ideas of the subject. It begins at the beginning, assuming no prior knowledge of the subject, but goes quite far, and it includes many topics not usually treated in introductory linear algebra texts, such as Jordan canonical form and the spectral theorem. While it concentrates on the finite-dimensional case, it treats the infinite-dimensional case as well. The book illustrates the centrality of linear algebra by providing numerous examples of its application within mathematics. It contains a wide variety of both conceptual and computational exercises at all levels, from the relatively straightforward to the quite challenging. Readers of this book will not only come away with the knowledge that the results of linear algebra are true, but also with a deep understanding of why they are true.

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