Introduction To Linear Algebra 5th Edition Johnson Solutions !EXCLUSIVE!
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Unfortunately, the best books on linear algebra are very expensive. They are very well written and well edited, but they are expensive. Some of the best books on linear algebra are very expensive. They are very well written and very well edited, but they are expensive.
It feels very systematic, starts on the right foot, and does a very good job with proofs. It’s an excellent choice if your focus is logic and if you are not interested in the applications of linear algebra. (If you are interested in applications of linear algebra, you should look elsewhere.) Unfortunately, it is not particularly readable, it is heavy on math and has few examples. The author is very good at writing things down, but not at communicating ideas to a general audience. It’s a very solid book, but there are better books.
The best books on linear algebra are used books. Like most other textbooks, they are presented by authors who are struggling to communicate the ideas to a general audience. The books are designed with the goal of giving an idea of how to approach the material in a rigorous and efficient way. That means that the books are often very dense and include a lot of examples, but the authors do their best to make the material accessible to the general reader.
This is a very graduate-level linear algebra book. It focuses on noncommutative algebra and combinatorics, and includes topics such as completely positive maps, operator algebras, and numerical analysis. The book is a tour de force. The author provides a lot of detail, at times at the expense of a more streamlined presentation. There are no exercises. The book is a reference.
The remainder of the book consists of advanced topics, including the eigenvalue problem, the spectral radius, the spectral radius theorem, linear independence, linear independence of subspaces, the notion of an invariant subspace, the canonical decomposition of a linear operator, the spectral decomposition of a normal operator, the Jordan canonical form, an alternative proof of the spectral radius theorem, a proof of the spectral theorem, the minimal polynomial of a linear operator, the derivative of a linear operator, and finally a discussion of the link between differential operators and linear operators, including the topic of finite-dimensional holomorphy. The work on operator theory has an appealing historical flavor, as the author discusses the work of Hermite, Ritt, and Witt.
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