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141222 ||| eng |
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|a 9780123869128
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020 |
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|a 0123869129
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100 |
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|a Meerschaert, Mark M.
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245 |
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|a Mathematical modeling
|h [electronic resource]
|h Elektronische Ressource
|c Mark M. Meerschaert
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250 |
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|a Fourth edition
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260 |
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|a Waltham, MA
|b Academic Press/Elsevier
|c 2013, 2013
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300 |
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|a online resource (xii, 365 pages)
|b illustrations
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|a I.OPTIMIZATION MODELS -- 1.One Variable Optimization -- 1.1.The five-step Method -- 1.2.Sensitivity Analysis -- 1.3.Sensitivity and Robustness -- 1.4.Exercises -- 2.Multivariable Optimization -- 2.1.Unconstrained Optimization -- 2.2.Lagrange Multipliers -- 2.3.Sensitivity Analysis and Shadow Prices -- 2.4.Exercises -- 3.Computational Methods For Optimization -- 3.1.One Variable Optimization -- 3.2.Multivariable Optimization -- 3.3.Linear Programming -- 3.4.Discrete Optimization -- 3.5.Exercises -- II.DYNAMIC MODELS -- 4.Introduction To Dynamic Models -- 4.1.Steady State Analysis -- 4.2.Dynamical Systems -- 4.3.Discrete Time Dynamical Systems -- 4.4.Exercises -- 5.Analysis Of Dynamic Models -- 5.1.Eigenvalue Methods -- 5.2.Eigenvalue Methods for Discrete Systems -- 5.3.Phase Portraits -- 5.4.Exercises -- 6.Simulation Of Dynamic Models -- 6.1.Introduction to Simulation -- 6.2.Continuous-Time Models -- 6.3.The Euler Method -- 6.4.Chaos and Fractals -- 6
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|a Includes bibliographical references and index
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653 |
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|a Mathematical models / fast / (OCoLC)fst01012085
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653 |
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|a Mathematical models
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041 |
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7 |
|a eng
|2 ISO 639-2
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|b ESD
|a Elsevier ScienceDirect eBooks
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856 |
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|u http://www.sciencedirect.com/science/book/9780123869128
|x Verlag
|3 Volltext
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|a 511/.8
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520 |
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|a Meerschaert's new edition strengthens his position as the survey text of choice for mathematical modeling courses, adding ample instructor support and leveraging on-line delivery for solutions manuals and software ancillaries. From genetic engineering to hurricane prediction, mathematical models guide much of the decision-making in our society, and if the assumptions and methods underlying the modeling are flawed, the outcome can be disastrously poor, as recent events have proved. Since mathematical modeling is a rapidly growing specialty with applications in so many scientific and technical disciplines, there is a need for mathematically rigorous treatments of the subject, and particularly for texts that expose students to a range of possible approaches. Offers increased support for instructors, including MATLAB material as well as other on-line resourcesFeatures new sections on time series analysis and diffusion modelsProvides additional problems with international focus such as whale and dolphin populations, plus updated optimization problems
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