I've yet to find a topic that isn't full blown research that wasn't at least mentioned in this book. One person found this helpful 2 people found this helpful. This book is excellent. For instance, compared to "Linear Algebra Done Right" by Sheldon Axler, another very good book, I find this book more advanced, more abstract, and at the same time easier to read.

One person found this helpful. This is a great linear algebra book for anyone who has already had an undergraduate course in linear algebra. It would help even more if the reader has already had at least one semester of abstract algebra modern algebra. As for the content of the book, it is very readable and it will go well beyond what you may have learned about linear algebra in the past. The first chapter is on vector spaces whereas in more elementary texts, vector spaces are not treated until later chapters - after learning how to compute the solutions to systems of linear equations using Gaussian elimination or LU decomposition or other methods.

This book is not about computation but about the development of theory. Have fun with it! Excellent book with a fair price. The author approaches the subject in an appropriate way. That's an indispensable book for all Mathematics and Physics students. Mathematics books are often considerably more difficult to read than their authors prepare their audiences to believe; this book is a happy exception. It is written for an audience of readers at a specific place in their studies ones who know linear algebra but want to take their understanding of it to a deeper level , and it reaches this audience very well.

The emphasis of this book is on linear algebra in abstract mathematics; it is less useful for people interested in numerical linear algebra.

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As the name suggests, this book requires a fair amount of background. The introductory chapter moves very fast, but is thorough, and exciting to read. The rest of the book presents advanced topics at a more leisurely pace, while still remaining fairly concise. Some difficult concepts, such as the universal property, are introduced several times at several different places in the book, so that someone working through the book will be more familiar with them when it is finally necessary to understand them on a deeper level.

I find the material on modules outstanding; the author explores the analogies between modules and vector spaces, rigorously exploring which analogies hold, and giving examples of cases in which other analogies fail. The presentation of modules in this book differs greatly from that encountered in most abstract algebra texts: One should not be scared by the word "advanced" in the book's title.

Although the book covers advanced topics, it is very clear. When proofs are omitted, it is usually because they are very easy for the reader to supply.

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The exercises are very valuable some are critical for understanding the material , but they're not diabolically difficult. I think this book would make an outstanding textbook for an introductory graduate-level course in linear algebra, or perhaps a senior-level undergraduate course for students with a strong background. It is also very well-suited to self-study. A student with prior background in abstract algebra group theory, ring theory, etc. People wanting a more introductory text might want to look to the book by Axler, or the old classic by Shilov.

The item came in good time and in good condition. It was, however, a copy for the Chinese market which had not been mentioned in the descriptive blurb. It appears to be complete, just printed on thinner paper with a thinner cover and smaller in size than the American version.

## Graduate Texts in Mathematics: Advanced Linear Algebra 135 by Steven Roman (2007, Hardcover)

Springer-Verlag New York Inc. Be the first to review this item Would you like to tell us about a lower price? Customer reviews There are no customer reviews yet. Share your thoughts with other customers. Write a product review. Most helpful customer reviews on Amazon. I've yet to find a topic that isn't full blown research that wasn't at least mentioned in this book.

This book is excellent. For instance, compared to "Linear Algebra Done Right" by Sheldon Axler, another very good book, I find this book more advanced, more abstract, and at the same time easier to read. This is a great linear algebra book for anyone who has already had an undergraduate course in linear algebra. It would help even more if the reader has already had at least one semester of abstract algebra modern algebra.

As for the content of the book, it is very readable and it will go well beyond what you may have learned about linear algebra in the past. The first chapter is on vector spaces whereas in more elementary texts, vector spaces are not treated until later chapters - after learning how to compute the solutions to systems of linear equations using Gaussian elimination or LU decomposition or other methods.

This book is not about computation but about the development of theory. Have fun with it! Excellent book with a fair price. The author approaches the subject in an appropriate way.

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That's an indispensable book for all Mathematics and Physics students. Mathematics books are often considerably more difficult to read than their authors prepare their audiences to believe; this book is a happy exception. It is written for an audience of readers at a specific place in their studies ones who know linear algebra but want to take their understanding of it to a deeper level , and it reaches this audience very well.

The emphasis of this book is on linear algebra in abstract mathematics; it is less useful for people interested in numerical linear algebra. As the name suggests, this book requires a fair amount of background.

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Review From the reviews of the first edition: From the reviews of the second edition: Graduate Texts in Mathematics Book Hardcover: Springer; 3rd edition October 8, Language: Related Video Shorts 0 Upload your video. Optimal Mean Reversion Trading: Mathematical Analysis and Practical Applications Mo Fundamentals Of Modern Algebra: University Math and Statistics: Quick web links to download open textbooks, lecture notes, past exams papers with solutions, worked examples, math software and tools, and many more.

## Read e-book online Advanced Linear Algebra: v. (Graduate Texts in PDF - Fond Library

Re-Introduction to Algebra with Intuition: Algebraic Foundation for Calculus, Compu Instead of just juggling math formulas, understand why we need algebra and the real meaning behind algebraic concepts. Try the Kindle edition and experience these great reading features: Share your thoughts with other customers. Write a customer review. There was a problem filtering reviews right now. Please try again later. I've yet to find a topic that isn't full blown research that wasn't at least mentioned in this book. One person found this helpful.

This book is excellent. For instance, compared to "Linear Algebra Done Right" by Sheldon Axler, another very good book, I find this book more advanced, more abstract, and at the same time easier to read. This is a great linear algebra book for anyone who has already had an undergraduate course in linear algebra.

It would help even more if the reader has already had at least one semester of abstract algebra modern algebra. As for the content of the book, it is very readable and it will go well beyond what you may have learned about linear algebra in the past. The first chapter is on vector spaces whereas in more elementary texts, vector spaces are not treated until later chapters - after learning how to compute the solutions to systems of linear equations using Gaussian elimination or LU decomposition or other methods.