The road to be software engineer

Dear all

I am a programmer (BS in Computer Science). I want to learn Software Engineering in the best way (regardless of the platform) as a self learning.

What books do you suggest for me?
Which book to start with and the second … etc?

Someone suggeted to me the following two books in order:
1-Practical software Engineering “The Case Study Approach” by Leszek Maciaszek, Bruc Lee Liong

2-Patterns of Enterprise Application Architecture -by Martin Fowler

Do you have any other tips ?

Best Regards