Title
Nonlinear Programming (Classics in Applied Mathematics, Series Number 10),Used
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This reprint of the 1969 book of the same name is a concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and airline scheduling can be reduced to a constrained optimization problem. This book provides readers with the fundamentals needed to study and solve such problems. Beginning with a chapter on linear inequalities and theorems of the alternative, basics of convex sets and separation theorems are then derived based on these theorems. This is followed by a chapter on convex functions that includes theorems of the alternative for such functions. These results are used in obtaining the saddlepoint optimality conditions of nonlinear programming without differentiability assumptions.
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- Q: What is the main focus of 'Nonlinear Programming' by Olvi L. Mangasarian? A: The book focuses on the fundamentals of constrained optimization theory, providing rigorous yet accessible insights into solving optimization problems in various fields such as machine learning and chemical engineering.
- Q: What topics are covered in this book? A: Key topics include linear inequalities, convex sets, separation theorems, convex functions, and saddlepoint optimality conditions of nonlinear programming.
- Q: Is this book suitable for beginners in optimization? A: Yes, it is designed to be accessible for readers new to the subject while still being rigorous enough for advanced study.
- Q: What is the publication date of this book? A: The book was published on January 1, 1987.
- Q: How many pages does 'Nonlinear Programming' have? A: The book contains 236 pages.
- Q: What type of binding does this book have? A: This edition is a paperback binding.
- Q: Who is the author of 'Nonlinear Programming'? A: The author of the book is Olvi L. Mangasarian.
- Q: What condition is the book in? A: The book is in new and mint condition.
- Q: Can I return this book if I am not satisfied? A: Yes, the book comes with a guaranteed no-quibbles return policy.
- Q: Does the book include practical applications of nonlinear programming? A: Yes, it discusses applications in various fields, showcasing how optimization problems can be addressed using the theories presented.