MARC details
| 000 -LEADER |
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| fixed length control field |
03590nam a22002897a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20220826110550.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
220808b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9788181285096 |
| 028 ## - DISTRIBUTOR NAME |
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| Distributor Name |
:International Book Distributors |
| Distributor address |
:Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi |
| Bill Number |
:118078 |
| Bill Date |
:10/08/2022 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.5 LAN |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Lange, Kenneth |
| 245 ## - TITLE STATEMENT |
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| Title |
Optimization |
| Statement of responsibility, etc |
/ Lange, Kenneth |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
New York, |
| Name of publisher, distributor, etc |
:Springer New York, |
| Date of publication, distribution, etc |
@2004. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xiii, 255p. |
| Dimensions |
24cm. |
| 365 ## - TRADE PRICE |
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| Price amount |
8009 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Springer texts in statistics. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Contents note |
Elementary Optimization --<br/>The Seven C's of Analysis --<br/>Differentiation --<br/>Karush-Kuhn-Tucker Theory --<br/>Convexity --<br/>The MM Algorithm --<br/>The EM Algorithm --<br/>Newton's Method --<br/>Conjugate Gradient and Quasi-Newton --<br/>Analysis of Convergence --<br/>Convex Programming. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Finite-dimensional optimization problems occur throughout the mathematical sciences. The majority of these problems cannot be solved analytically. This introduction to optimization attempts to strike a balance between presentation of mathematical theory and development of numerical algorithms. Building on students' skills in calculus and linear algebra, the text provides a rigorous exposition without undue abstraction and can serve as a bridge to more advanced treatises on nonlinear and convex programming. The emphasis on statistical applications will be especially appealing to graduate students of statistics and biostatistics. The intended audience also includes graduate students in applied mathematics, computational biology, computer science, economics, and physics as well as upper division undergraduate majors in mathematics who want to see rigorous mathematics combined with real applications. Chapter 1 reviews classical methods for the exact solution of optimization problems. Chapters 2 and 3 summarize relevant concepts from mathematical analysis. Chapter 4 presents the Karush-Kuhn-Tucker conditions for optimal points in constrained nonlinear programming. Chapter 5 discusses convexity and its implications in optimization. Chapters 6 and 7 introduce the MM and the EM algorithms widely used in statistics. Chapters 8 and 9 discuss Newton's method and its offshoots, quasi-Newton algorithms and the method of conjugate gradients. Chapter 10 summarizes convergence results, and Chapter 11 briefly surveys convex programming, duality, and Dykstra's algorithm. Kenneth Lange is the Rosenfeld Professor of Computational Genetics in the Departments of Biomathematics and Human Genetics at the UCLA School of Medicine. He is also Interim Chair of the Department of Human Genetics. At various times during his career, he has held appointments at the University of New Hampshire, MIT, Harvard, the University of Michigan, and the University of Helsinki. While at the University of Michigan, he was the Pharmacia & Upjohn Foundation Professor of Biostatistics. His research interests include human genetics, population modeling, biomedical imaging, computational statistics, and applied stochastic processes. Springer-Verlag previously published his books Mathematical and Statistical Methods for Genetic Analysis, Second Edition, Numerical Analysis for Statisticians, and Applied Probability. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Probabilities and applied mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical optimization. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical statistics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Operations Research |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematische programmering. |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Lange, Kenneth |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Books |
