Linear Algebra Done Right

Springer, Jul 18, 1997 - Mathematics - 251 pages
This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: 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 (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus, the text starts by discussing vector spaces, linear independence, span, basis, 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. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

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Review: Linear Algebra Done Right

User Review  - Peteris Erins - Goodreads

Not particularly enlightening. Unassuming yet thorough coverage of finite vector spaces with only a brief mention of the infinite. Read full review

Review: Linear Algebra Done Right

User Review  - Kevin - Goodreads

A much, much better coverage of linear algebra than the book my undergrad class used. As many others have noted, it largely avoids the use of matrices and determinants to focus on the purely algebraic ... Read full review

All 14 reviews »

References from web pages

Linear Algebra Done Right Preface to Instructor
Linear Algebra Done Right. Preface to the Instructor. You are probably about to teach a course that will give students their second exposure to linear ...

Linear Algebra Done Right by Sheldon Axler - Apronus.com
Linear Algebra Done Right by Sheldon Axler. Chapter 1. Vector Spaces. Complex Numbers; Definition of Vector Space; Properties of Vector Spaces; Subspaces ...
www.apronus.com/ math/ axler2001.htm

Linear Algebra Done Right | The n-Category Café
The inspiration is Sheldon Axler’s textbook Linear Algebra Done Right. Unfortunately you can’t download it, but you can download an earlier article making ...
golem.ph.utexas.edu/ category/ 2007/ 05/ linear_algebra_done_right.html

Axler S. Линейная Алгебра Сделанное Право (2ed, Springer, 1997 ...
www.eknigu.com/ info/ M_Mathematics/ MA_Algebra/ MAl_Linear%20algebra/ Axler%20S.%20Linear%20Algebra%20Done%20Right%20(2e...

Axler S. Linear Algebra Done Right (2ed, Springer,1997)(ISBN ...
Book: Axler S. Linear Algebra Done Right (2ed, Springer,1997)(ISBN 0387982590)(261s)_mal_.pdf | Library:m_mathematics/ma_algebra/mal_linear
lib.org.by/ info/ M_Mathematics/ MA_Algebra/ MAl_Linear%20algebra/ Axler%20S.%20Linear%20Algebra%20Done%20Right%20(2ed,%2...

Linear algebra done right. - 2nd ed., corr. print / 2004 - Livros
Linear algebra done right. 2nd ed., corr. print New York: Springer, 2004. 251 p. (Undergraduate texts in mathematics) ISBN 0387982582 Número de Chamada: al4 ...
volterra.impa.br/ arquivos/ 30000/ 30000/ 105_30063.htm

Art of Problem Solving Forum
Sheldon Axler: Linear Algebra Done Right, 2nd ed., Springer-Verlag 1997 ISBN 0387982582 Walter Rudin: Principles of Mathematical Analysis, 3rd ed., ...
www.artofproblemsolving.com/ Forum/ viewtopic.php?t=88853

After Calculus I... Text - Physics Forums Library
If you have the time, I definitely suggest you work on "Linear Algebra Done Right" by Axler or "Linear Algebra" by Hoffman and Kunze at the same time as ...
www.physicsforums.com/ archive/ index.php/ t-179443.html

Review for Final Exam for Math 560 Linear Algebra: Fall 2004 The ...
Text: Sheldon Axler, Linear Algebra Done Right, 2nd Edition, .... Linear Algebra Done Right) as opposed to matrix-centric (eg, Horn and John- ...
www.math.colostate.edu/ ~poore/ Math560/ Review%20for%20Math%20560%20(Linear%20Algebra)%20Final%20Exam.pdf

Linear Algebra Done Right - rfviet.com
Linear Algebra Done Right ebook. ... Linear Algebra Done Right | PDF | ~1.15MB | 261 Pages | Sheldon Axler | Springer Book review: ...