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140122  eng 
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a 9781461263586

100 
1 

a Koo, Delia

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0 
0 
a Elements of Optimization
h Elektronische Ressource
b With Applications in Economics and Business
c by Delia Koo

250 


a 1st ed. 1977

260 


a New York, NY
b Springer New York
c 1977, 1977

300 


a IX, 220 p
b online resource

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0 

a 1 Extrema of a Function of One Variable  2 Extrema of a Function of Two or More Variables (without Constraint)  3 Functions of Two or More Variables (with Constraint)  4 Simultaneous Maxima of Several Functions  5 Linear Programming  6 Linear Programming—Duality and Sensitivity Analysis  7 Nonlinear Programming  8 Optimal Control  Appendix I  Quadratic Forms and Characteristic Roots  Appendix II  Convexity and Quasiconvexity

653 


a Calculus of Variations and Optimization

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a Control theory

653 


a Systems Theory, Control

653 


a System theory

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a Quantitative Economics

653 


a Econometrics

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a Mathematical optimization

653 


a Calculus of variations

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0 
7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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0 

a Heidelberg Science Library

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0 
a 10.1007/9781461263586

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u https://doi.org/10.1007/9781461263586?nosfx=y
x Verlag
3 Volltext

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0 

a 003

520 


a This book attempts to present the concepts which underlie the various optimization procedures which are commonly used. It is written primarily for those scientists such as economists, operations researchers, and en gineers whose main tools of analysis involve optimization techniques and who possess a (not very sharp) knowledge of one or oneandahalf year's calculus through partial differentiation and Taylor's theorem and some acquaintance with elementary vector and matrix terminology. Such a scientist is frequently confronted with expressions such as Lagrange multi pliers, firstand secondorder conditions, linear programming and activity analysis, duality, the KuhnTucker conditions, and, more recently, dy namic programming and optimal control. He or she uses or needs to use these optimization techniques, and would like to feel more comfortable with them through better understanding of their underlying mathematical concepts, but has no immediate use for a formal theoremproof treatment which quickly abstracts to a general case of n variables and uses a style and terminology that are discouraging to people who are not mathematics majors. The emphasis of this book is on clarity and plausibility. Through examples which are worked out step by step in detail, I hope to illustrate some tools which will be useful to scientists when they apply optimization techniques to their problems. Most of the chapters may be read independently of each otherwith the exception of Chapter 6, which depends on Chapter 5. For instance, the reader will find little or no difficulty in reading Chapter 8 without having read the previous chapters
