Introduction to Linear Optimization (Athena Scientific Series in Optimization and Neural Computation, 6) by Dimitris Bertsimas (PDF)

Description

This book provides a unified, insightful, and modern treatment of linear optimization, that is, linear programming, network flow problems, and discrete optimization. It includes classical topics as well as the state of the art, in both theory and practice.

User’s Reviews

Editorial Reviews: Review “The true merit of this book, however, lies in its pedagogical qualities which are so impressive…” “Throughout the book, the authors make serious efforts to give geometric and intuitive explanations of various algebraic concepts, and they are widely successful in this effort.” “In conclusion, this is an outstanding textbook that presents linear optimization in a truly modern and up-to-date light. One reading of this book is sufficient to appreciate the tremendous amount of quality effort that the authors have put into the writing, and I strongly recommend it to all teachers, researchers and practitioners of mathematical programming.” –Motakuri Ramana in Optima, Issue 54Bertsimas and Tsitsiklis have written a comprehensive treatise, offering an easy-to-understand presentation of linear programming and related topics, including network-flow programming and discrete optimization. –Jonathan Bard in Interfaces, Issue 30(4), July 2000 About the Author The authors are Professors at the Massachusetts Institute of Technology.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The best part of this book is the first half, where the foundations of linear programming are presented in a clear yet relatively rigorous fashion, accompanied by numerous intuitive geometrical explanations of the abstract general concepts. This approach, supplementing mathematics with graphical insights, works extremely well for this topic.The quality goes down somewhat, perhaps neccessarily, in the latter half of the book as topics are presented less carefully, and in a somewhat rushed manner in order to cover all of the material the authors decided to include. Given that the fundamentals are covered so well, perhaps this is a fair trade.The only real negative I can think of is that it’s a small crime for professors to create their own publishing companies (Athena only publishes works by a small group of MIT professors) and then still charge outrageous amounts for the books. This would be completely unacceptable were it not for the fact that, unlike most self-published work, this book’s production quality is on par with that of the large publishers.

⭐I have used the hard cover version of the book previously and it’s an excellent book.Be warned that the e-book can not be used on all kindles, which I only realized after the purchase.

⭐This book is impressive for theory, every thing you ever wanted to know or how to avoid some other is here. I teach to industrial engineering students, so i have to use other books for the application, but for the theory, everything is covered here, even more, in the book are several simple rules to avoid tipical problems of the simplex method or transportation problems, or integer forms. You can’t call yourself a pro if you haven’t read this book.

⭐If you had to choose only one book on linear programming this is the book. Very well written and up to date. Contrast for example with books that are populated with why? and how? in the text forcing the teacher (or the student) to stop reading and try to solve the question. This book is direct, didactic, and spends 2 pages when the author thinks it is necessary instead of 1 paragraph and 1 why? (to the reader).The book covers linear programming theory and algorithms, network flows, an introduction to interior point methods and some modeling topics.

⭐I cannot find better words to describe this book than simply amazing. It helped me build a deep understanding of linear optimization, from some basic linear algebra skills, through simplex and more modern linear optimization methods, to applications in network flows and integer programming, step by step, proof by proof, so I exactly knew what’s going on all the time.I’ve gave a browse to a couple of other books and internet available courses before finding this one, but they were mostly touching the surface of the subject from a practitioner perspective or assumed a big amount of skills up front. This book allowed me to understand linear optimization deeply without prior preparation.The only disadvantage of this book I can think of is the price.

⭐I don’t think there’s any other book to learn graduate level linear programming other than this book. Although if you notice that most graduate books always say “Introduction” this is a bit heavier for undergraduate introduction to linear programming/optimization. I would recommend: Introduction to Mathematical Programming: Applications and Algorithms, Volume 1 by Wayne L. Winston, Munirpallam Venkataramanan for an undergraduate introductory book, but if you are a bit more advanced undergraduate or graduate student, then this is the book to learn linear programming theory.

⭐This is a great book, good examples and very simple yet precise explanations.I did like this one! I am studing linear programming at the university and this book helped me a lot, now I understand a lot more than I did with the other books.

⭐This a great text for an introduction to linear programming course. Does a great job proving mathematical rigor to optimization. However the problems are very challenging.

⭐Very cool book

⭐Este libro me salvo la vida en mi clase de Optimizacion. Es un tema duro, pero muy interesante. Tiene el rigor necesario para maestría en matemáticas. Me sirvió mucho en la sección de Degeneracy, basic solutions y un poco la parte de los costos. No he podido leerlo más a detalle para los demás temas (Interior point y más allá…) pero sin duda, valió la pena la compra.Book in excellent condition!

⭐good quality

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