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Description
Linear Algebra Done WrongIt is a first linear algebra course for mathematically advanced students. It is intended for a student who, while not yet very familiar with abstract reasoning, is willing to study more rigorous mathematics that is presented in a "cookbook style" calculus type course. It is also supposed to be a first course introducing a student to rigorous proof and formal definitions. The target audience explains the specific blend of elementary ideas and concrete
It is a first linear algebra course for mathematically advanced students. It is intended for a student who, while not yet very familiar with abstract reasoning, is willing to study more rigorous mathematics that is presented in a "cookbook style" calculus type course. It is also supposed to be a first course introducing a student to rigorous proof and formal definitions.
The target audience explains the specific blend of elementary ideas and concrete examples, which are usually presented in introductory linear algebra texts with more abstract definitions and constructions typical for advanced books.
The book emphasizes topics that are important for analysis, geometry, probability, etc., and does not include some traditional topics. For example, I am only considering vector spaces over the fields of real or complex numbers, since I feel time would be better spent on some more classical topics, which will be required in other disciplines.
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