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Mathematical Models and Methods for Planet Earth

Author: Alessandra Celletti

Publisher: Springer Science & Business Media

Published: 2014-03-05

Total Pages: 174

ISBN-13: 3319026577

In 2013 several scientific activities have been devoted to mathematical researches for the study of planet Earth. The current volume presents a selection of the highly topical issues presented at the workshop “Mathematical Models and Methods for Planet Earth”, held in Roma (Italy), in May 2013. The fields of interest span from impacts of dangerous asteroids to the safeguard from space debris, from climatic changes to monitoring geological events, from the study of tumor growth to sociological problems. In all these fields the mathematical studies play a relevant role as a tool for the analysis of specific topics and as an ingredient of multidisciplinary problems. To investigate these problems we will see many different mathematical tools at work: just to mention some, stochastic processes, PDE, normal forms, chaos theory.

Mathematics of Planet Earth

Author: Hans Kaper

Publisher: SIAM

Published: 2015-03-31

Total Pages: 198

ISBN-13: 1611973716

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Our planet faces many challenges. In 2013, an international partnership of more than 140 scientific societies, research institutes, and organizations focused its attention on these challenges. This project was called Mathematics of Planet Earth and featured English- and French-language blogs, accessible to nonmathematicians, as part of its outreach activities. This book is based on more than 100 of the 270 English-language blog posts and focuses on four major themes: A Planet to Discover; A Planet Supporting Life; A Planet Organized by Humans; A Planet at Risk.--[Source inconnue].

Mathematics of Planet Earth

Author: Eulogio Pardo-Igúzquiza

Publisher: Springer Science & Business Media

Published: 2013-10-07

Total Pages: 847

ISBN-13: 3642324088

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It is widely recognized that the degree of development of a science is given by the transition from a mainly descriptive stage to a more quantitative stage. In this transition, qualitative interpretations (conceptual models) are complemented with quantification (numerical models, both, deterministic and stochastic). This has been the main task of mathematical geoscientists during the last forty years - to establish new frontiers and new challenges in the study and understanding of the natural world. Mathematics of Planet Earth comprises the proceedings of the International Association for Mathematical Geosciences Conference (IAMG2013), held in Madrid from September 2-6, 2013. The Conference addresses researchers, professionals and students. The proceedings contain more than 150 original contributions and give a multidisciplinary vision of mathematical geosciences.

Mathematics and Geosciences: Global and Local Perspectives

Author: Jesús I. Días

Publisher: Springer

Published: 2015-07-15

Total Pages: 0

ISBN-13: 9783034809290

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Mathematical models and methods are required for diverse studies in Geosciences and simultaneously, new problems are posing new needs where Mathematics is needed. At the initiative of American and Canadian research mathematical institutes and societies, year 2013 was declared a thematic year in Mathematics and the Planet Earth, under the patronage of UNESCO. To mark the MPE2013, and highlight the two-way street between Mathematics and Earth Sciences, the workshop “Mathematics and Geosciences: Global and Local Perspectives” was hold in Madrid at ICMAT from 4-8 November, 2013. This is the first volume of the Topical Issue on “Mathematics and Geosciences: Global and Local Perspectives” and contains 13 papers, most of which were presented at the congress. They address different topics under both global and local perspectives such as the percolation theory to observe micro seismicity in fracking, fractional differential analysis to model complex dynamics, climate change, earthquake statistics, earth rotation, geomagnetic field, fire models, Mars exploration, numerical methods in meteorology and environmental conservation, probabilistic models in study of soils and fluid mechanics. This volume addresses the interest of scientists of many of the branches in Earth Sciences as well as postgraduate students, covering both approaches, applied and theoretical ones, to solve different problems in Geosciences with the help of mathematical models and methods.

Mathematical Methods in the Earth and Environmental Sciences

Author: Adrian Burd

Publisher: Cambridge University Press

Published: 2019-04-18

Total Pages: 599

ISBN-13: 1107117488

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An accessible introduction to the mathematical methods essential for understanding processes in the Earth and environmental sciences.

An Introduction to Mathematical Modeling of Infectious Diseases

Author: Michael Y. Li

Publisher: Springer

Published: 2018-01-30

Total Pages: 156

ISBN-13: 3319721224

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This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies. The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis. Matlab codes are also included for numerical implementations. It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases. Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.

Modeling and Data Analysis

Author: John B. Little

Publisher:

Published: 2019

Total Pages: 323

ISBN-13: 9781470452001

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Can we coexist with the other life forms that have evolved on this planet? Are there realistic alternatives to fossil fuels that would sustainably provide for human society's energy needs and have fewer harmful effects? How do we deal with threats such as emergent diseases? Mathematical models—equations of various sorts capturing relationships between variables involved in a complex situation—are fundamental for understanding the potential consequences of choices we make. Extracting insights from the vast amounts of data we are able to collect requires analysis methods and statistical reasoning. This book on elementary topics in mathematical modeling and data analysis is intended for an undergraduate “liberal arts mathematics”-type course but with a specific focus on environmental applications. It is suitable for introductory courses with no prerequisites beyond high school mathematics. A great variety of exercises extends the discussions of the main text to new situations and/or introduces new real-world examples. Every chapter ends with a section of problems, as well as with an extended chapter project which often involves substantial computing work either in spreadsheet software or in the ${\tt R}$ statistical package. It is great that mathematics is finally taught as a tool to understand the challenges that the planet will be facing and to participate in the debate. The book aims at developing skills in mathematical modeling and data analysis, with a focus on the environment. The projects encourage active learning. A wonderful book! —Christiane Rousseau, Initiator of Mathematics of Planet Earth (MPE2013) and Professor of Mathematics, Université de Montréal Using diverse examples with environmental science data, this text provides a lively review of high school math. Ideal for a quantitative literacy course, it offers an excellent alternative to the typical math rehash. —Louis J. Gross, Chancellor's Professor of Ecology and Evolutionary Biology and Mathematics, University of Tennessee, Knoxville

Modeling the Earth System in the Mission to Planet Earth Era

Author: National Aeronautics and Space Adm Nasa

Publisher: Independently Published

Published: 2018-11-18

Total Pages: 140

ISBN-13: 9781731274250

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A broad overview is made of global earth system modeling in the Mission to Planet Earth (MTPE) era for the multidisciplinary audience encompassed by the Global Change Research Program (GCRP). Time scales of global system fluctuation and change are described in Section 2. Section 3 provides a rubric for modeling the global earth system, as presently understood. The ability of models to predict the future state of the global earth system and the extent to which their predictions are reliable are covered in Sections 4 and 5. The 'engineering' use of global system models (and predictions) is covered in Section 6. Section 7 covers aspects of an increasing need for improved transform algorithms and better methods to assimilate this information into global models. Future monitoring and data requirements are detailed in Section 8. Section 9 covers the NASA-initiated concept 'Mission to Planet Earth, ' which employs space and ground based measurement systems to provide the scientific basis for understanding global change. Section 10 concludes this review with general remarks concerning the state of global system modeling and observing technology and the need for future research. Unninayar, Sushel and Bergman, Kenneth H. Unspecified Center CLIMATE CHANGE; CLIMATOLOGY; ENVIRONMENT MODELS; ENVIRONMENTAL MONITORING; MATHEMATICAL MODELS; MISSION TO PLANET EARTH; ATMOSPHERIC MODELS; EARTH OBSERVATIONS (FROM SPACE); EARTH OBSERVING SYSTEM (EOS); EARTH RADIATION BUDGET; OCEAN MODELS..

Modeling and Data Analysis: An Introduction with Environmental Applications

Author: John B. Little

Publisher: American Mathematical Soc.

Published: 2019-03-28

Total Pages: 323

ISBN-13: 1470448696

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Introduction to Systems Analysis

Author: Dieter M. Imboden

Publisher: Springer Science & Business Media

Published: 2012-12-14

Total Pages: 256

ISBN-13: 364230639X

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Systems and their mathematical description play an important role in all branches of science. This book offers an introduction to mathematical modeling techniques. It is intended for undergrad students in applied natural science, in particular earth and environmental science, environmental engineering, as well as ecology, environmental chemistry, chemical engineering, agronomy, and forestry. The focus is on developing the basic methods of modeling. Students will learn how to build mathematical models of their own, but also how to analyze the properties of existing models. The book neither derives mathematical formulae, nor does it describe modeling software, instead focusing on the fundamental concepts behind mathematical models. A formulary in the appendix summarizes the necessary mathematical knowledge. To support independent learners, numerous examples and problems from various scientific disciplines are provided throughout the book. Thanks in no small part to the cartoons by Nikolas Stürchler, this introduction to the colorful world of modeling is both entertaining and rich in content