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A First Course in Combinatorial Optimization (Cambridge Texts in Applied Mathematics, Series Number 36) - Hardcover
Synopsis
Jon Lee focuses on key mathematical ideas leading to useful models and algorithms, rather than on data structures and implementation details, in this introductory graduate-level text for students of operations research, mathematics, and computer science. The viewpoint is polyhedral, and Lee also uses matroids as a unifying idea. Topics include linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Problems and exercises are included throughout as well as references for further study.
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Book Description
"A First Course in Combinatorial Optimization" is a self-contained text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. The author focuses on the key mathematical ideas that lead to useful models and algorithms rather than on data structures and implementation details. The viewpoint is polyhedral, and the author also uses matroids as a unifying idea.Topics include linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Problems and exercises are included throughout as well as references for further study.
Review
"Lee strikes a perfect balance between the specific and the general, between the concrete and the abstract."
CHOICE
“The author, with his light but rigorous mathematical writing style, takes delight in revealing the stars of combinatorial optimization. This is an excellent teaching book; I recommend it highly.”
International Statistical Institute
"The book is attractively laid out on the page and there are lots of good diagrams. Algorithms are separated visually in special boxes and are easy to track down. There are plenty of problems (short proofs) and exercises (calculations) and they are well integrated with the text."
MAA Reviews, Bill Satzer
"Jon Lee's A First Course in Combinatorial Optimization is a brilliant introduction to the topic." - Ryan B. Hayward, University of Alberta
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2004
- ISBN 10 0521811511
- ISBN 13 9780521811514
- BindingHardcover
- LanguageEnglish
- Number of pages228
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A First Course in Combinatorial Optimization (Hardcover)
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ISBN 10: 0521811511
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Hardcover. Condition: new. Hardcover. A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Central to the exposition is the polyhedral viewpoint, which is the key principle underlying the successful integer-programming approach to combinatorial-optimization problems. Another key unifying topic is matroids. The author does not dwell on data structures and implementation details, preferring to focus on the key mathematical ideas that lead to useful models and algorithms. Problems and exercises are included throughout as well as references for further study. Jon Lee focuses on key mathematical ideas leading to useful models and algorithms, rather than on data structures and implementation details, in this introductory graduate-level text for students of operations research, mathematics, and computer science. The viewpoint is polyhedral, and Lee also uses matroids as a unifying idea. Topics include linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Problems and exercises are included throughout as well as references for further study. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521811514
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First Course in Combinatorial Optimization
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