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1. |
Record Nr. |
UNINA9910830724403321 |
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Autore |
Kaplan Wilfred <1915-> |
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Titolo |
Maxima and minima with applications [[electronic resource] ] : practical optimization and duality / / Wilfred Kaplan |
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Pubbl/distr/stampa |
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ISBN |
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1-283-30621-2 |
9786613306210 |
1-118-03279-9 |
1-118-03104-0 |
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Descrizione fisica |
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1 online resource (298 p.) |
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Collana |
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Wiley-Interscience series in discrete mathematics and optimization |
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Disciplina |
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Soggetti |
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Maxima and minima |
Mathematical optimization |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"A Wiley-Interscience publication." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Maxima and Minima with Applications: Practical Optimization and Duality; Contents; Preface; 1 Maxima and Minima in Analytic Geometry; 1.1 Maxima and Minima; Case of Functions of One Variable; Problems 1.1-1.5; 1.2 Convexity; 1.3 Convexity and Maxima and Minima; Problems 1.6-1.16; 1.4 Problems in Two Dimensions; Problems 1.17-1.27; 1.5 Some Geometric Extremum Problems; Problems 1.28-1.36; 1.6 Geometry of n-Dimensional Space; 1.7 Convex Functions of n Variables; 1.8 Quadratic Forms; Problems 1.37-1.55; 1.9 Convexity and Extrema, Level Sets and Sublevel Sets; Problems 1.56-1.63; 1.10 Stability |
1.11 Global Asymptotic Stability, Application to Finding MinimizerProblems 1.64-1.73; 1.12 Extrema of Functions on Unbounded Closed Sets; 1.13 Shortest Distance from a Linear Variety; Problems 1.74-1.84; 1.14 Other Inner Products and Norms in Rn; 1.15 More on Minimum Problems for Quadratic Functions; Problems 1.85-1.93; 1.16 Physical Applications; Problems 1.94-1.96; 1.17 Best Approximation by Polynomials; Problems 1.97-1.105; References; 2 |
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Side Conditions; 2.1 Review of Vector Calculus; Problems 2.1-2.13; 2.2 Local Maxima and Minima, Side Conditions; Problems 2.14-2.21 |
2.3 Second-Derivative TestProblems 2.22-2.26; 2.4 Gradient Method for Finding Critical Points; Problems 2.27-2.28; 2.5 Applications; Problems 2.29-2.33; 2.6 Karush-Kuhn-Tucker Conditions; Problems 2.34-2.37; 2.7 Sufficient Conditions for the Mathematical Programming Problem; 2.8 Proof of the Karush-Kuhn-Tucker Conditions; Problems 2.38-2.49; References; 3 Optimization; 3.1 Convexity; Problems 3.1-3.17; 3.2 Mathematical Programming, Duality; 3.3 Unconstrained Quadratic Optimization; Problems 3.18-3.28; 3.4 Constrained Quadratic Optimization in Rn |
3.5 QP with Inequality Constraints, QP AlgorithmProblems 3.29-3.38; 3.6 Linear Programming; 3.7 Simplex Algorithm; Problems 3.39-3.55; 3.8 LP with Bounded Variables; Problems 3.56-3.62; 3.9 Convex Functions and Convex Programming; Problems 3.63-3.68; 3.10 The Fermat-Weber Problem and a Dual Problem; Problems 3.69-3.76; 3.11 A Duality Relation in Higher Dimensions; Problems 3.77-3.84; References; 4 Fenchel-Rockafellar Duality Theory; 4.1 Generalized Directional Derivative; Problems 4.1-4.5; 4.2 Local Structure of the Boundary of a Convex Set; Problems 4.6-4.8 |
4.3 Supporting Hyperplane, Separating HyperplaneProblems 4.9-4.15; 4.4 New Definition of Convex Function, Epigraph, Hypograph; Problems 4.16-4.17; 4.5 Conjugate of Convex and Concave Functions; Problems 4.18-4.24; 4.6 Fenchel Duality Theorem; Problems 4.25-4.32; 4.7 Rockafellar Duality Theorem; 4.8 Proof of Lemma C; Problems 4.33-4.45; 4.9 Norms, Dual Norms, Minkowski Norms; Problems 4.46-4.61; 4.10 Generalized Fermat-Weber Problem; 4.11 Application to Facility Location; Problems 4.62-4.74; References; Appendix: Linear Algebra; Answers to Selected Problems; Index |
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Sommario/riassunto |
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This new work by Wilfred Kaplan, the distinguished author of influential mathematics and engineering texts, is destined to become a classic. Timely, concise, and content-driven, it provides an intermediate-level treatment of maxima, minima, and optimization. Assuming only a background in calculus and some linear algebra, Professor Kaplan presents topics in order of difficulty. In four short chapters, he describes basic concepts and geometric aspects of maxima and minima, progresses to problems with side conditions, introduces optimization and programming, and concludes with an in-depth discuss |
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2. |
Record Nr. |
UNINA9910959899603321 |
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Titolo |
The geographical dimensions of terrorism / / edited by Susan L. Cutter, Douglas B. Richardson, and Thomas J. Wilbanks |
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Pubbl/distr/stampa |
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London ; ; New York : , : Routledge, , 2013 |
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ISBN |
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1-317-79384-6 |
1-315-81087-5 |
1-317-79385-4 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (297 p.) |
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Altri autori (Persone) |
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CutterSusan L |
RichardsonDouglas <1950-> |
WilbanksThomas J |
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Disciplina |
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Soggetti |
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Terrorism |
Terrorism - Prevention |
Terrorism - Risk assessment |
Geography |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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First published 2003 by Routledge. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Cover; Half Title; Title Page; Copyright Page; Table of Contents; List of Figures; List of Tables; List of Issue Boxes; Acknowledgments; Foreword; Introduction; Chapter 1 The Changing Landscape of Fear; Chapter 2 Societal Responses to Threats; Introduction; 2.1 Public Health, Law Enforcement, and Hazards Management; 2.2 Urban Vulnerability to Terrorism as Hazard; 2.3 Emergency Preparedness and Response- Lessons Learned from 9/11; 2.4 Transborder Disaster Management; Chapter 3 Understanding the Root Causes of Terrorism; Introduction; 3.1 The Space of Terror |
3.2 Geographies of Inclusion/Exclusion3.3 Drug Production, Commerce, and Terrorism; 3.4 Insurrections; Chapter 4 Geospatial Data and Technologies in Times of Crises; Introduction; 4.1 The Need for a National Spatial Data Infrastructure; 4.2 Remote Sensing Imagery for Emergency Management; 4.3 Geospatial Data in Emergencies; 4.4 Data Modeling for Emergencies; 4.5 Intelligent Emergency Response |
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Systems; 4.6 Geographic Management Systems for Homeland Security; Chapter 5 Vulnerability of Lifelines, the Built Environment, and People; Introduction; 5.1 Critical Infrastructure |
5.2 Energy Systems and Infrastructures5.3 Transportation and Communication Lifelines Disruption; 5.4 Economic Assessment of Unexpected Events; 5.5 Estimating Populations at Risk; 5.6 Recreating Secure Spaces; Chapter 6 Bioterrorism; Introduction; 6.1 Understanding Biological Warfare; 6.2 Bioweaponry and Agroterrorism; 6.3 Spatial Surveillance of and Response to Biological Threats; Chapter 7 Building a Safer but Open Society; Introduction; 7.1 Openness versus Security of Geographic Information; 7.2 GeoSecurity; Chapter 8 A Research and Action Agenda; Epilogue; Notes; References; Contributors |
Index |
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Sommario/riassunto |
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First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company. |
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