Free Ebook The Mathematics of Nonlinear Programming (Undergraduate Texts in Mathematics), by Anthony L. Peressini, Francis E. Sullivan, J.J. Jr. Uhl
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The Mathematics of Nonlinear Programming (Undergraduate Texts in Mathematics), by Anthony L. Peressini, Francis E. Sullivan, J.J. Jr. Uhl
Free Ebook The Mathematics of Nonlinear Programming (Undergraduate Texts in Mathematics), by Anthony L. Peressini, Francis E. Sullivan, J.J. Jr. Uhl
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Nonlinear programming provides an excellent opportunity to explore an interesting variety of pure and solidly applicable mathematics, numerical analysis, and computing. This text develops some of the ideas and techniques involved in the optimization methods using calculus, leading to the study of convexity. This is followed by material on basic numerical methods, least squares, the Karush-Kuhn-Tucker theorem, penalty functions, and Lagrange multipliers. The authors have aimed their presentation at the student who has a working knowledge of matrix algebra and advanced calculus, but has had no previous exposure to optimization.
- Sales Rank: #655142 in Books
- Published on: 1993-06-17
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x .75" w x 6.14" l, 1.25 pounds
- Binding: Hardcover
- 276 pages
Most helpful customer reviews
11 of 12 people found the following review helpful.
Excellent first book on nonlinear programming.
By A Customer
I am a graduate student, working on a PhD in Optimization (nonlinear programming). This book provides an excellent first exposure to the field of nonlinear programming. It is full of "easily visualizable" 2 or 3 dimensional examples, which greatly aid in the development of strong intuition. Although the intended level of this book is the advanced undergraduate level, it serves as a very thorough and useful companion to any graduate text. This book almost single-handedly helped me pass my qualifying exam in optimization, mostly because it "made all of the pieces fit together."
I heartily recommend it to _anyone_ interested in learning about nonlinear programming.
6 of 9 people found the following review helpful.
Peressini and Sullivan are not enough to make you Uhl
By A Customer
This book takes an unusual path to the usual results in optimization. Though refreshing in some ways, the standard results--Kuhn-Tucker conditions for non-convex programs--are not achieved until the last chapter. Little of the preceeding six chapters can be skipped without ruining this development! D.M. Greig, by comparison, develops this result in her first chapter, in a book at a comparable level. With Peressini et al, you sink weeks into learning restricted convex programs; an interesting niche, but one best studied once the main results are in hand.
2 of 4 people found the following review helpful.
Elementary Optimization
By arsenic sulfide
This book is a great resource for undergraduate study. It is the recommended text in our university. If you would like to learn more advanced theory, or need a grad school reference book,you are suggested to find some books else.
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