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A (Terse) Introduction to Linear Algebra

2008 Mathematics
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Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 199/5 ( reviews)

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Book Synopsis A (Terse) Introduction to Linear Algebra by : Yitzhak Katznelson

Download or read book A (Terse) Introduction to Linear Algebra written by Yitzhak Katznelson. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is the study of vector spaces and the linear maps between them. It underlies much of modern mathematics and is widely used in applications.

Introduction to Linear Algebra

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 704/5 ( reviews)

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Book Synopsis Introduction to Linear Algebra by : Serge Lang

Download or read book Introduction to Linear Algebra written by Serge Lang. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.

An Introduction to Linear Algebra

2012-12-03 Mathematics
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Release : 2012-12-03
Genre : Mathematics
Kind : eBook
Book Rating : 449/5 ( reviews)

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Book Synopsis An Introduction to Linear Algebra by : L. Mirsky

Download or read book An Introduction to Linear Algebra written by L. Mirsky. This book was released on 2012-12-03. Available in PDF, EPUB and Kindle. Book excerpt: Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.

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.

Linear Algebra Done Right

1997-07-18 Mathematics
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Release : 1997-07-18
Genre : Mathematics
Kind : eBook
Book Rating : 595/5 ( reviews)

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Book Synopsis Linear Algebra Done Right by : Sheldon Axler

Download or read book Linear Algebra Done Right written by Sheldon Axler. This book was released on 1997-07-18. Available in PDF, EPUB and Kindle. Book excerpt: This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.

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