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Download Read Linear Algebra and Its Applications (5th Edition) | Download file PDF Free Download Here. A First Course in Linear Algebra. (10 reviews). Robert Beezer, University of Puget Sound. Pub Date: Publisher: Independent. Language: English. Linear Algebra is a text for a first US undergraduate Linear Algebra course. a lab manual using Sage, are all available for download, as well as for purchase.
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Regardless, because of the non-numeric labeling of chapters and definitions, it would be very easy for the author to add material without affecting the numbering of subsequent sections. For this reason, I rank the book's longevity as high. The prose is very clear, and one feels that it has been informed by many years of teaching the subject. As mentioned above, I believe that it would be even clearer with the addition of well-crafted figures.
The author has done an excellent job here. The book is remarkably uniform in tone and format, and is uniquely Beezer's work from beginning to end. He has created his own brand of textbook. The book is broken into sections and subsections, and theorems, proofs, definitions and examples are clearly delineated.
The acronym labeling scheme makes the book feel especially modular, possibly at the expense of emphasizing the interdependency among the various topics. The sequencing is perfectly logical and natural, and l would see no reason to do anything in a different order. This is one instance where the acronyms seem out of place, as a simple numeric labeling of the chapters would underscore the importance of the flow of ideas in a way that the acronyms do not.
I read the online version, which I thought was pretty good. I did find some aspects of the experience to be slightly disconcerting. For example, it's hard to gauge how long a section will be when clicking on an example can suddenly expand a simple phrase to an entire page, or more. But whatever problems I had may have been due to my own preference for thumbing through paper books.
It is difficult to imagine how linear algebra could be culturally insensitive. At any rate, I can't imagine that the author has offended anyone. There is a lot of great basic material here.
However, there are several topics missing that I would consider part of a standard first course in linear algebra.
Matrix factorizations, such as the Cholesky factorization, or decompositions, such as Matrix factorizations, such as the Cholesky factorization, or decompositions, such as the LUD decomposition, do not appear to be treated.
The singular value decomposition has achieved an important status in linear algebra and it should be found even in first courses.
Strang's Linear Algebra did not have principal component analysis in , but it does now for example. There is no index in this book that I can find. The basic material will not change and as such this text could be used a years from now. However, it is missing more applied ideas, such as linear algebra in image processing, that are becoming increasingly popular and serve to decrease its relevance. The writing style is very clear.
They also not very suggestive as a mnemonic device. The topics are very nicely modular, but I would probably rearrange the order in which they are taught. The topics are presented in a carefully thought out manner and the structure is reasonable. I would probably want matrix multiplication defined before introducing the solution of linear systems. The hypertext links are great. Navigating the text is a pleasure. The inclusion of Sage is also a huge addition.
Nice addition to the available resources that I am sure will be attractive for a lot of instructors. The text covers all the topics of a first course in linear algebra. There is discussion on set theory, complex numbers and proof techniques. Complex number are mentioned very early in the text although not used.
Very little emphasis on the Very little emphasis on the geometric approach and more leaning to operations research. Sage is used and there is a section that calls out a video that was not accessible. There were other issues with the Sage tutorial, the "blue line" did not appear for instance. The book is written using Sage which we do not use t this time. The Sage Cell Server is nice and allows students to use Sage without downloading it.
The book is such that Sage is not required. Since the book is editable and Sage is also an open resource I see no problem with the longevity of this OER. The examples used in the text are relevant and up to date. The writing in the book is very clear. Many examples help put the mathematics in context in each section. The book is very consistent in terminology and structure.
Each section has subsections with a description, example s , reading questions and exercises. The reading questions are designed to be completed by the student before class on the topic with most of the exercises having worked out solutions. The text is modular and could be reorganized but it flows by topic in such a way as not to be necessary. The proofs and their descriptions could be left out for a very early course in matrices.
The online version has so many hyperlinks that it became a bit confusing where I had left off and how to get back. The flow and structure was ok as long as I didn't click on too many hyperlinks. Seemed like a lot of jumping around leading me to get a bit lost and having to reopen sections I'd already read.
Because of the acronym section names O could come after V. I found that experience a bit frustrating and decided bypass this feature.
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The displays and charts came across just fine. As far as navigation, it may be the operator but see my answer to number 7. Some of the links opened up a window that allowed the user to continue reading. This was true for most examples but not when directed to another section. I liked the book overall. I like the printable flash cards for students in the supplemental section. The use of archetypes is also very useful and aides in understanding. Too many of these for me, I would suggest numbers.
Like Section 2: Vectors, Section 2. Vector Operations. This book includes a good selection of topics for a semester-long linear algebra course. Most of the material is basically timeless. The book does include computer code that can be used with SageMath, an open-source computer algebra system. Because SageMath is open-source, it should be possible to obtain a copy indefinitely.
The book is easy to read, with practical examples sprinkled throughout. In addition, in the electronic version, the interface makes it easy to refer to previous theorems or examples. The book is more modular than most other math texts. For example, theorems are not numbered, but given abbreviations, so that they would not need to be renumbered should you choose to adopt and incorporate sections into another text.
Of course, some sections depend on results or material from others, which cannot be avoided in a math text. But even then, the interface makes referring to the previous material easy.
The book is organized well. The author moves from concrete to more abstract concepts, starting with matrices and column vectors before moving on to abstract vector spaces and linear transformations. For example, eigenvectors are described before linear transformations.
This organization is pleasant to follow. The interface in the electronic version is a selling point of the book. Every time a previous theorem or definition is invoked, the reader can click a link and view that previous theorem or definition without actually navigating to that page.
Likewise, the book includes instruction on using the SageMath computer algebra system. The electronic version includes a direct interface to SageMath through the SageMath Cell Server which allows code to be run directly from the book. This book covers a tiny bit more than I would normally cover in an introductory linear algebra class due to its use of the complex numbers throughout , and omits nothing that I would normally cover.
All subject areas address in the Table of All subject areas address in the Table of Contents are covered thoroughly. I found no accuracy issues in the text. Examples are worked out in full detail throughout the text, and at a first reading appeared to be error-free.
The content is as up-to-date as any introductory linear algebra textbook can reasonably be. The text includes some guidance on how to use Sage to help with calculations, but the book is written in such a way that it can be easily used without implementing Sage into the course.
I think that the text in this book is extremely clear, which is great for a first course in linear algebra. The book includes a few "one-liners" to help keep students engaged while reading, and I think that this is done really well! The text is subdivided into small digestible chunks for students to read. The text is pretty self-referential, but the book is hyperlinked throughout.
A First Course in Linear Algebra
So it just takes one click for the reader to be directed to the definition, example, or section being referenced. All of the material in the text follows from what has preceded it, so in that sense it is structured well. But my only very minor issue with this book is that some of the material is covered in what I would consider an "unusual order". Two big examples are: This is, of course, an opinionated issue though. Others may certainly like the ordering in this book better than what I would recommend.
But the key is that the book is written so that one could easily "jump around" these parts without causing much confusion for the students. And due to the hyperlinks in the text, it is easy to navigate to the relevant sections.
Linear Algebra: Problems Book
Also, a really nice touch is that there are 24 recurring examples throughout the text that the author calls "archetypes". These archetypes are all listed together at the end of the book, along with their description. I feel that this is great tool for students to easily be able to compare and contrast different types of examples.
I had no interface issues with this book. One interesting thing of note is that items are indexed using acronyms instead of numerically. I am not sure whether I like acronyms or numbers better, but it is all a moot point because of the hyperlinks used in the text. There is also a list of all acronyms used for definitions and theorems at the end of the book.
No portion of this text appeared to me to be culturally insensitive or offensive in any way, shape, or form. Overall, I think that this textbook provides a great introduction to linear algebra! With such a great resource available to students for free, I do not see why I would ever force my students to purchase a different textbook in the future. Beezer's book includes all the expected topics in a first corse in linear algebra, and it also provides some review sections on set theory and complex numbers.
To place it in the broader world of linear algebra textbooks, this text is generally To place it in the broader world of linear algebra textbooks, this text is generally more algebraic and numeric than it is geometric: The reference section at the end provides a list of notation, definitions, theorems.
The online format does a nice job of providing an overall perspective on the course. The book is mathematically accurate as far as I can tell, but there are also wonderul structural features of this book that ensure such accuracy.
The content resides in a GitHub repo at https: The examples are supported by Sage code, which also makes mechanical errors unlikely in the presentation. As a globally-editable machine-assisted textbook, there are good reasons to believe it will remain accurate in future editions. The incorporation of Sage certainly makes the content especially timely, especally with the tremendous excitement around https: Updates will be straightforward to implement.
The book includes a lot of exercises. In a definition, the word being defined is highlighted in bold. Examples are distinguished by a different background color. Sage code is supported with explanations e. When making an argument, the author both names the property, and briefly recalls what it says in English: The book is consistent.
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