Title: Very good and concise book on optimization
Product review: I read the entire book and I found the material very concise. It has very good worked examples and the exercises in the end of every chapter are challenging and very interesting at the same time. The first 6 chapters are a review of linear algebra, geometry and analysis, so they are a little bit dense, but that is the way it should be since you are reviewing. I read the first 6 chapters in a few days and it really refreshed my memory with many forgotten concepts. The other chapters are very well presented and have clear examples.The algorithms presented in the conjugate gradients chapter and in the Quasi-Newton's methods chapter are the ones used in the engineering nowadays (for instance DFP or BFGS) for solving non linear problems, and the chapter on simplex method also presents the simplex in a smooth but deep fashion.I took the course with one of the authors (Dr. Zak) in Purdue and I believe it was one of the most useful courses I ever took.
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