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Author: Fabio Ancona
Publisher: Springer
ISBN: 3319390929
Category : Mathematics
Languages : en
Pages : 230
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Book Description
This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation techniques for climate modeling is amply illustrated in this volume, which also identifies important future challenges.
Author: Fabio Ancona
Publisher: Springer
ISBN: 3319390929
Category : Mathematics
Languages : en
Pages : 230
Get Book Here
Book Description
This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation techniques for climate modeling is amply illustrated in this volume, which also identifies important future challenges.
Author: Daniel R. Brooks
Publisher: University of Chicago Press
ISBN: 022663258X
Category : Science
Languages : en
Pages : 423
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Book Description
The contemporary crisis of emerging disease has been a century and a half in the making. Human, veterinary, and crop health practitioners convinced themselves that disease could be controlled by medicating the sick, vaccinating those at risk, and eradicating the parts of the biosphere responsible for disease transmission. Evolutionary biologists assured themselves that coevolution between pathogens and hosts provided a firewall against disease emergence in new hosts. Most climate scientists made no connection between climate changes and disease. None of these traditional perspectives anticipated the onslaught of emerging infectious diseases confronting humanity today. As this book reveals, a new understanding of the evolution of pathogen-host systems, called the Stockholm Paradigm, explains what is happening. The planet is a minefield of pathogens with preexisting capacities to infect susceptible but unexposed hosts, needing only the opportunity for contact. Climate change has always been the major catalyst for such new opportunities, because it disrupts local ecosystem structure and allows pathogens and hosts to move. Once pathogens expand to new hosts, novel variants may emerge, each with new infection capacities. Mathematical models and real-world examples uniformly support these ideas. Emerging disease is thus one of the greatest climate change–related threats confronting humanity. Even without deadly global catastrophes on the scale of the 1918 Spanish Influenza pandemic, emerging diseases cost humanity more than a trillion dollars per year in treatment and lost productivity. But while time is short, the danger is great, and we are largely unprepared, the Stockholm Paradigm offers hope for managing the crisis. By using the DAMA (document, assess, monitor, act) protocol, we can “anticipate to mitigate” emerging disease, buying time and saving money while we search for more effective ways to cope with this challenge.
Author:
Publisher: Elsevier
ISBN: 0323853390
Category : Mathematics
Languages : en
Pages : 596
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Book Description
Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Handbook of Numerical Analysis series - Updated release includes the latest information on Numerical Control
Author: Roland Herzog
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110696002
Category : Mathematics
Languages : en
Pages : 386
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Book Description
This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.
Author: Manfred Mudelsee
Publisher: Springer Science & Business Media
ISBN: 9048194822
Category : Science
Languages : en
Pages : 497
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Book Description
Climate is a paradigm of a complex system. Analysing climate data is an exciting challenge, which is increased by non-normal distributional shape, serial dependence, uneven spacing and timescale uncertainties. This book presents bootstrap resampling as a computing-intensive method able to meet the challenge. It shows the bootstrap to perform reliably in the most important statistical estimation techniques: regression, spectral analysis, extreme values and correlation. This book is written for climatologists and applied statisticians. It explains step by step the bootstrap algorithms (including novel adaptions) and methods for confidence interval construction. It tests the accuracy of the algorithms by means of Monte Carlo experiments. It analyses a large array of climate time series, giving a detailed account on the data and the associated climatological questions. This makes the book self-contained for graduate students and researchers.
Author: Max Tegmark
Publisher: Vintage
ISBN: 0307744256
Category : Science
Languages : en
Pages : 434
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Book Description
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
Author: Bruce J. West
Publisher: World Scientific
ISBN: 981430431X
Category : Computers
Languages : en
Pages : 314
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Book Description
This book provides a lens through which modern society is shown to depend on complex networks for its stability. One way to achieve this understanding is through the development of a new kind of science, one that is not explicitly dependent on the traditional disciplines of biology, economics, physics, sociology and so on; a science of networks. This text reviews, in non-mathematical language, what we know about the development of science in the twenty-first century and how that knowledge influences our world. In addition, it distinguishes the two-tiered science of the twentieth century, based on experiment and theory (data and knowledge) from the three-tiered science of experiment, computation and theory (data, information and knowledge) of the twenty-first century in everything from psychophysics to climate change. This book is unique in that it addresses two parallel lines of argument. The first line is general and intended for a lay audience, but one that is scientifically sophisticated, explaining how the paradigm of science has been changed to accommodate the computer and large-scale computation.The second line of argument addresses what some consider the seminal scientific problem of climate change. The authors show how a misunderstanding of the change in the scientific paradigm has led to a misunderstanding of complex phenomena in general, and the causes of global warming in particular.
Author: Martin Cohen
Publisher: Andrews UK Limited
ISBN: 1845408578
Category : Philosophy
Languages : en
Pages : 273
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Book Description
Why do giraffes have long necks? It can't really be for reaching tasty leaves since their main food is ground level bushes, tidy though that explanation would be. And how does relativity theory cope with the fact that the observable universe defies prediction by being far too small and anything but homogeneous? By inventing a vastly larger, but invisible, universe. And what exactly should we make of the scientists who claim to be witnessing thought itself, when the changes of blood flow in the brain that they observe are a thousand times slower than the neuronal activity it is supposed to reveal? A little scepticism is in order. Yet if philosophers of science, from Thomas Kuhn to Paul Feyerabend, have argued that science is a more haphazard process, driven by political fashion and short-term economic self-interest, today almost everyone seems to assume it is a vast jigsaw of interlocking facts pieced slowly but steadily together by expert practitioners. In this witty but profound 21st-century update on the issues, Martin Cohen offers vital clues for understanding not only the way knowledge develops, but also into the dangers of accepting too readily or too uncritically the claims of experts of all kinds - even philosophical ones! The claims are invariably presented as objective fact, yet are rooted in human subjectivity.
Author: Gerald R. North
Publisher: Texas A&M University Press
ISBN: 1623498686
Category : Biography & Autobiography
Languages : en
Pages : 419
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Book Description
In a career spanning four decades, Gerald R. North contributed groundbreaking research that continues to shape the modern field of climate science. However, the route he has taken was full of surprising twists and turns that included hate mail, eavesdropping by the KGB, and sometimes acrimonious debate with climate-change deniers. North’s significant contributions to the field include his innovative “toy model” analysis of climate change based on ingeniously simplified models and his lead proposal for and successful approval of the Tropical Rainfall Measuring Mission (TRMM) satellite. Launched in 1997, the TRMM’s purpose was to collect data on the global climate system. The TRMM operated successfully for 17 years before it was deactivated in 2015. In The Rise of Climate Science, North recounts in detail his life in the vanguard of modern climate science. He offers an insider look at the academic research and government initiatives around global warming and what that means for the planet. He includes stories of conversations with top Soviet climate scientists at the height of the Cold War in the late 1970s—complete with clandestine electronic surveillance. He also describes the experience of testifying before Congress and engaging in public exchanges with those who doubted the reality of the phenomenon his research field described. Climatology today has advanced into a mature phase. This book is an important contribution to understanding its development in the twentieth century and adds a distinctly human face and sensibility to the ongoing societal conversation around climate change and its implications for our future.
Author: Ka-Kit Tung
Publisher: Princeton University Press
ISBN: 1400884055
Category : Mathematics
Languages : en
Pages : 319
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Book Description
Topics in Mathematical Modeling is an introductory textbook on mathematical modeling. The book teaches how simple mathematics can help formulate and solve real problems of current research interest in a wide range of fields, including biology, ecology, computer science, geophysics, engineering, and the social sciences. Yet the prerequisites are minimal: calculus and elementary differential equations. Among the many topics addressed are HIV; plant phyllotaxis; global warming; the World Wide Web; plant and animal vascular networks; social networks; chaos and fractals; marriage and divorce; and El Niño. Traditional modeling topics such as predator-prey interaction, harvesting, and wars of attrition are also included. Most chapters begin with the history of a problem, follow with a demonstration of how it can be modeled using various mathematical tools, and close with a discussion of its remaining unsolved aspects. Designed for a one-semester course, the book progresses from problems that can be solved with relatively simple mathematics to ones that require more sophisticated methods. The math techniques are taught as needed to solve the problem being addressed, and each chapter is designed to be largely independent to give teachers flexibility. The book, which can be used as an overview and introduction to applied mathematics, is particularly suitable for sophomore, junior, and senior students in math, science, and engineering.
