TITLE: Can anyone recommend a numerical optimization book or course note?
QUESTION [7 upvotes]: My background is primarily in mathematicians. I am familiar with graduate level analysis, linear algebra, numerical linear algebra, but have very limited experience with numerical analysis. 
Can anyone recommend a numerical optimization book or course note? 
Ideally, it should take advantage of linear algebra and analysis whenever necessary and provide a lot of intuitions because I will primarily be reading on my own. The proofs are secondary, but I will be interested in reading constructive proof that facilitates understanding.  
If it is a part of a video lecture, that would very helpful. 
My goal is to be able to develop a decent understabding of the core theory and use commonly used numerical optimization techniques effectively (like implemented in script or c++).

REPLY [2 votes]: I recommend the two recent books by Amir Beck: (1) Introduction to Nonlinear Optimization and (2) First-order methods in Optimization, SIAM. The other books are fine, but I personally enjoy the clarity and level of details in Beck's books more.