Linear and Nonlinear Programming

I have profitably used the book to apply constrained minimization procedures in the field of computational contact mechanics. I think it is not a secret that quite often books on mathematics are written from matematicians for matematicians. Hence it is quite hard for engineers both to read and to extract valuable information from them. With this respect this book is a shining star. It presents the topics in a very precise but clear and understandable way. Moreover the notation also is the best compromise between coinciseness and clarity. Matematicians, please, look at this book and follow such style; we engineer desperately need to communicate with you.

I have the 1977 edition from my father's MIT days. I am a Mathematician and I can verify that the book written in 1977 is of the same style that good books have today! A book is not made obsolete because some new "elegant" terms arise. Ok Luenberger did not know about Interior Point Algorithms and to tell you the truth why should he? I do not know other editions but in the first edition in chapter 7 "Basic Descent Methods" everyone who is able to read clearly and unbiased the second paragraph will agree with me that Interion Point Algorithms IS NOTHING NEW in the theory of MATHEMATICS!!! What you need to know ,the magic, is in the chapters 7-11. From there you can read everything else you like and get in touch with what is about to come in the next 25 years(See Ye : "Interion Point Algorithms"). But remember you are already in stars before reading the new books...

Nice introduction to linear programming, but new standard definitions have already arrived, making many "good books" obsolete. The book sometimes isn't very clear and should be more explicit and should give more examples.