<図書>
The mathematics of nonlinear programming
責任表示 | Anthony L. Peressini, Francis E. Sullivan, J. Jerry Uhl, Jr. |
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シリーズ | Undergraduate texts in mathematics |
データ種別 | 図書 |
出版情報 | New York ; Tokyo : Springer-Verlag , c1988 |
本文言語 | 英語 |
大きさ | x, 273 p. : ill. ; 25 cm |
概要 | This book is designed for a first course in nonlinear optimization. It starts with classical optimization notions from calculus and proceeds smoothly to a study of convex functions. This is followed ...y material on basic numerical methods, least squares, Karush-Kuhn-Tucker theory, penalty functions, and Lagrange multipliers. The book has been tested in the classroom; the approach is rigorous at all times and geometric intuition is developed. The numerical methods are up-to-date. The presentation emphasizes the mathematical ideas behind computer codes.The book is aimed at the student who has a working knowledge of linear algebra and partial differentiation but has had no previous exposure to optimization. Mathematics instructors will be comfortable with the mathematical approach which deemphasizes recipes and emphasizes understanding underlying concepts. There are many exercises chosen to highlight the fundamental ideas. This book is designed for a first course in nonlinear optimization. It starts with classical optimization notions from calculus and proceeds smoothly to a study of convex functions. This is followed by material on basic numerical methods, least squares, Karush-Kuhn-Tucker theory, penalty functions, and Lagrange multipliers. The book has been tested in the classroom; the approach is rigorous at all times and geometric intuition is developed. The numerical methods are up-to-date. The presentation emphasizes the mathematical ideas behind computer codes.The book is aimed at the student who has a working knowledge of linear algebra and partial differentiation but has had no previous exposure to optimization. Mathematics instructors will be comfortable with the mathematical approach which deemphasizes recipes and emphasizes understanding underlying concepts. There are many exercises chosen to highlight the fundamental ideas. 続きを見る |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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us | 中央図 自動書庫 | 417.6/P 41/1 | 1988 |
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068172188007987 |
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理系図3F 数理独自 | PERE/40/2 | 1988 |
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068222188002083 |
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: us | 芸工図 2F 書架 | 417.6/P43 | 1988 |
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072032188000713 |
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書誌詳細
一般注記 | Includes index |
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著者標目 | *Peressini, Anthony L. Uhl, J. Jerry Sullivan, Francis E. |
件 名 | LCSH:Mathematical optimization LCSH:Nonlinear programming |
分 類 | LCC:QA402.5 DC19:519.7/6 NDC8:417 NDLC:MA211 |
書誌ID | 1000464525 |
ISBN | 0387966145 |
NCID | BA0362781X |
巻冊次 | : us ; ISBN:0387966145 ; PRICE:$42.00 : gw ; ISBN:3540966145 |
登録日 | 2009.09.14 |
更新日 | 2009.11.02 |