Manual The Linear Algebra a Beginning Graduate Student Ought to Know (Texts in the Mathematical Sciences)

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Advice for second rigorous book on linear algebra. Thread starter Ashuron Start date Jan 12, Well, I just finished a linear algebra course using David C Lay's book. Thinking to go deeper on the subject. I am never good with proofs, so I actually prefer books that may build some skills on that. On that regard, the book perhaps should be fairly rigorous. Right now I have several in mind: - Algebra , Artin I may try to study this slowly I do not plan to actually buy a new book, just want to study something from the library.


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I am majoring in Physics , so relevant advices will also be nice. If someone can actually tell me what is mathematical maturity and how to develop it, that would also be nice.

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Homework Helper. Axler is fantastic. I'd recommend it. Thank you nicksauce, In general, can give you some more advice on how to tackle Axler's? Fredrik Staff Emeritus. Science Advisor.


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Gold Member. I like Axler too. If you do a search e. I don't really see why one would want more topics.

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How to tackle it? That's hard to answer. I like to work through a proof over and over, until I can do the whole thing in my head lying on the couch with my eyes closed, but I don't know if that's right for you. It might be better for you to try to get through the book as quickly as possible, and try to get the big picture before you study the details. I'd say that mathematical maturity is the ability to think like a mathematician, but maybe there's a better way of explaining it than that. I think the only way to get it is to study more math, especially definitions and proofs.

Thanks a lot Fredrik, Searched the physicsforum for several threads involving Axler..

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Linear algebra

Toggle navigation. Forfatter: Jonathan S. Omtale Omtale The Linear Algebra a Beginning Graduate Student Ought to Know Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It encompasses an extensive corpus of theoretical results as well as a large and rapidly-growing body of computational techniques.

Unfortunately, in the past decade, the content of linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, they are also less able to understand the mathematics of the numerical algorithms they need for applications.

Certainly, the material presented in the average undergraduate course is insufficient for graduate study.