That’s not true at all. He does precisely the thing you want him to do and also gives a pedagogical justification in the preface. > This book usually develop

That’s not true at all. He does precisely the thing you want him to do and also gives a pedagogical justification in the preface. > This book usually develops linear algebra simultaneously for real and complex vector spaces by letting F denote either the real or the complex numbers. If you and your students prefer to think of F as an arbitrary field, then see the comments at the end of Section 1A. I prefer avoiding arbitrary fields at this level because they introduce extra abstraction without leading to any new linear algebra And the remarks at the end of 1A are that if you want to, you can think of F as an arbitrary field everywhere except the sections on inner product spaces and where the given field is C you can frequently also use any other algebraically closed field.