Mathematics Of Planet Earth A Primer

Author by : Dan Crisan
Languange : en
Publisher by : World Scientific
Format Available : PDF, ePub, Mobi
Total Read : 11
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Description : Mathematics of Planet Earth (MPE) was started and continues to be consolidated as a collaboration of mathematical science organisations around the world. These organisations work together to tackle global environmental, social and economic problems using mathematics.This textbook introduces the fundamental topics of MPE to advanced undergraduate and graduate students in mathematics, physics and engineering while explaining their modern usages and operational connections. In particular, it discusses the links between partial differential equations, data assimilation, dynamical systems, mathematical modelling and numerical simulations and applies them to insightful examples.The text also complements advanced courses in geophysical fluid dynamics (GFD) for meteorology, atmospheric science and oceanography. It links the fundamental scientific topics of GFD with their potential usage in applications of climate change and weather variability. The immediacy of examples provides an excellent introduction for experienced researchers interested in learning the scope and primary concepts of MPE.


Mathematics Of Planet Earth

Author by : Hans G. Kaper
Languange : en
Publisher by : Springer Nature
Format Available : PDF, ePub, Mobi
Total Read : 48
Total Download : 622
File Size : 53,9 Mb
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Description : Since its inception in 2013, Mathematics of Planet Earth (MPE) focuses on mathematical issues arising in the study of our planet. Interested in the impact of human activities on the Earth’s system, this multidisciplinary field considers the planet not only as a physical system, but also as a system supporting life, a system organized by humans, and a system at risk. ​The articles collected in this volume demonstrate the breadth of techniques and tools from mathematics, statistics, and operations research used in MPE. Topics include climate modeling, the spread of infectious diseases, stability of ecosystems, ecosystem services, biodiversity, infrastructure restoration after an extreme event, urban environments, food security, and food safety. Demonstrating the mathematical sciences in action, this book presents real-world challenges for the mathematical sciences, highlighting applications to issues of current concern to society. Arranged into three topical sections (Geo- and Physical Sciences; Life Sciences, Ecology and Evolution; Socio-economics and Infrastructure), thirteen chapters address questions such as how to measure biodiversity, what mathematics can say about the sixth mass extinction, how to optimize the long-term human use of natural capital, and the impact of data on infrastructure management. The book also treats the subject of infectious diseases with new examples and presents an introduction to the mathematics of food systems and food security. Each chapter functions as an introduction that can be studied independently, offering source material for graduate student seminars and self-study. The range of featured research topics provides mathematical scientists with starting points for the study of our planet and the impact of human activities. At the same time, it offers application scientists a plethora of modern mathematical tools and techniques to address the various topics in practice. Including hundreds of references to the vast literature associated with each topic, this book serves as an inspiration for further research.


Mathematics Of Planet Earth

Author by : Darryl D. Holm
Languange : en
Publisher by : Advanced Textbooks In Mathematics
Format Available : PDF, ePub, Mobi
Total Read : 27
Total Download : 381
File Size : 52,9 Mb
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Description : Mathematics of Planet Earth (MPE) was started and continues to be consolidated as a collaboration of mathematical science organisations around the world. These organisations work together to tackle global environmental, social and economic problems using mathematics. This textbook introduces the fundamental topics of MPE to advanced undergraduate and graduate students in mathematics, physics and engineering while explaining their modern usages and operational connections. In particular, it discusses the links between partial differential equations, data assimilation, dynamical systems, mathematical modelling and numerical simulations and applies them to insightful examples. The text also complements advanced courses in geophysical fluid dynamics (GFD) for meteorology, atmospheric science and oceanography. It links the fundamental scientific topics of GFD with their potential usage in applications of climate change and weather variability. The immediacy of examples provides an excellent introduction for experienced researchers interested in learning the scope and primary concepts of MPE.


Mathematics Of Planet Earth

Author by : Hans Kaper
Languange : en
Publisher by : SIAM
Format Available : PDF, ePub, Mobi
Total Read : 63
Total Download : 821
File Size : 40,6 Mb
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Description :


Mathematics Of Planet Earth

Author by : Dan Crisan
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 91
Total Download : 212
File Size : 52,8 Mb
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Description :


Mathematics Of Planet Earth

Author by : Eulogio Pardo-Igúzquiza
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 33
Total Download : 956
File Size : 50,6 Mb
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Description : 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 Of Planet Earth

Author by : Eulogio Pardo-Igúzquiza
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 87
Total Download : 408
File Size : 48,6 Mb
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Description : 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 Of Energy And Climate Change

Author by : Jean-Pierre Bourguignon
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 81
Total Download : 425
File Size : 45,5 Mb
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Description : The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing planetary problems and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of issues and meet future global challenges. Earth is a planet with dynamic processes in its mantle, oceans and atmosphere creating climate, causing natural disasters and influencing fundamental aspects of life and life-supporting systems. In addition to these natural processes, human activity has increased to the point where it influences the global climate, impacts the ability of the planet to feed itself and threatens the stability of these systems. Issues such as climate change, sustainability, man-made disasters, control of diseases and epidemics, management of resources, risk analysis and global integration have come to the fore. Written by specialists in several fields of mathematics and applied sciences, this book presents the proceedings of the International Conference and Advanced School Planet Earth, Mathematics of Energy and Climate Change held in Lisbon, Portugal, in March 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013. The book presents the state of the art in advanced research and ultimate techniques in modeling natural, economical and social phenomena. It constitutes a tool and a framework for researchers and graduate students, both in mathematics and applied sciences.


A Math Journey Through Planet Earth

Author by : Anne Rooney
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 70
Total Download : 172
File Size : 52,5 Mb
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Description : Readers go on a mission to protect threatened areas around the world in this fun book that teaches about math topics such as volume, scale diagrams, division, and number lines. Math puzzles and exercises help children use their math skills to measure geysers, protect forests, and check on glaciers.


Dynamics Games And Science

Author by : Jean-Pierre Bourguignon
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 75
Total Download : 726
File Size : 46,9 Mb
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Description : The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing problems of an economic and social nature and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of issues and meet future global economic and social challenges. Earth is a planet with dynamic processes in its mantle, oceans and atmosphere creating climate, causing natural disasters and influencing fundamental aspects of life and life-supporting systems. In addition to these natural processes, human activity has developed highly complex systems, including economic and financial systems; the World Wide Web; frameworks for resource management, transportation, energy production and utilization; health care delivery, and social organizations. This development has increased to the point where it impacts the stability and equilibrium in human societies. Issues such as financial and economic crisis, sustainability, management of resources, risk analysis, and global integration have come to the fore. Written by some of the world’s leading specialists, this book presents the proceedings of the International Conference and Advanced School Planet Earth, Dynamics, Games and Science II, held in Lisbon, Portugal, 28 August -6 September 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013. The book describes the state of the art in advanced research and ultimate techniques in modeling natural, economic and social phenomena. It constitutes a tool and a framework for researchers and graduate students, both in mathematics and applied sciences, focusing mainly on dynamical systems, game theory and applied sciences.


Mathematics Of Planet Earth

Author by : Mathematical Association of Victoria. Conference
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 49
Total Download : 739
File Size : 54,9 Mb
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Description : Conference program and abstracts.


Mathematics Of Planet Earth 2013 Australia

Author by : Mathematical Association of Victoria. Annual Conference
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 32
Total Download : 581
File Size : 40,8 Mb
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Description : Advance program for conference, with information for potential attendees on everything they need to know to plan their attendance. Includes full list of presentations to chose from, each with a content summary.


Dynamics Games And Science

Author by : Jean-Pierre Bourguignon
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 74
Total Download : 725
File Size : 48,6 Mb
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Description : The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing problems of an economic and social nature and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of issues and meet future global economic and social challenges. Earth is a planet with dynamic processes in its mantle, oceans and atmosphere creating climate, causing natural disasters, and influencing fundamental aspects of life and life-supporting systems. In addition to these natural processes, human activity has developed highly complex systems, including economic and financial systems; the World Wide Web; frameworks for resource management, transportation, energy production and utilization; health care delivery, and social organizations. This development has increased to the point where it impacts the stability and equilibrium in human societies. Issues such as financial and economic crisis, sustainability, management of resources, risk analysis, and global integration have come to the fore. Written by some of the world's leading specialists, this book presents the proceedings of the International Conference and Advanced School Planet Earth, Dynamics, Games and Science II, held in Lisbon, Portugal, 28 August -6 September 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013. The book describes the state of the art in advanced research and ultimate techniques in modeling natural, economic and social phenomena. It constitutes a tool and a framework for researchers and graduate students, both in mathematics and applied sciences, focusing mainly on dynamical systems, game theory, and applied sciences.


Infectious Diseases And Our Planet

Author by : Miranda I. Teboh-Ewungkem
Languange : en
Publisher by : Springer Nature
Format Available : PDF, ePub, Mobi
Total Read : 80
Total Download : 531
File Size : 46,9 Mb
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Description : This book features recent research in mathematical modeling of indirectly and directly transmitted infectious diseases in humans, animals, and plants. It compiles nine not previously published studies that illustrate the dynamic spread of infectious diseases, offering a broad range of models to enrich understanding. It demonstrates the capability of mathematical modeling to capture disease spread and interaction dynamics as well as the complicating factors of various evolutionary processes. In addition, it presents applications to real-world disease control by commenting on key parameters and dominant pathways related to transmission. While aimed at early-graduate level students, the book can also provide insights to established researchers in that it presents a survey of current topics and methodologies in a constantly evolving field.


Mathematical Paradigms Of Climate Science

Author by : Fabio Ancona
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 39
Total Download : 114
File Size : 41,5 Mb
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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.


A Maths Journey Through Planet Earth

Author by : Anne Rooney
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 69
Total Download : 822
File Size : 43,6 Mb
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Description : Go on an exciting real-life maths journey to practise the core topics of number, geometry, statistics, ratio & proportion, algebra and measurement. Through data visualisation methods which include colourful diagrams, pictograms, illustrations, photographs and infographics, Go Figure! brings maths into the real world in an innovative, exciting and engaging visual way. It makes even the trickiest problem easier to understand and builds valuable confidence in maths! Find out how the maths you learn at school can help you go on a journey around Planet Earth! Maths challenges use real life data and fascinating facts to solve mathematical problems that will help you on your travels! Ages 10-12 years.


The Dynamics Of Biological Systems

Author by : Arianna Bianchi
Languange : en
Publisher by : Springer Nature
Format Available : PDF, ePub, Mobi
Total Read : 75
Total Download : 960
File Size : 40,8 Mb
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Description : The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine. The chapters of this book cover a wide range of mathematical methods and biological applications. They - explain the process of mathematical modelling of biological systems with many examples, - introduce advanced methods from dynamical systems theory, - present many examples of the use of mathematical modelling to gain biological insight - discuss innovative methods for the analysis of biological processes, - contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.


Mathematical Sciences With Multidisciplinary Applications

Author by : Bourama Toni
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 53
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Description : This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance interdisciplinary understanding between these areas of research by showing how new advances in a particular field can be relevant to open problems in another and how many disciplines contribute to a better understanding of relevant issues at the interface of mathematics and the sciences. The main emphasis is on important methods, research directions and applications of analysis within and beyond each field. As such, the volume aims to foster student interest and participation in the STEAM-H domain, as well as promote interdisciplinary research collaborations. The volume is valuable as a reference of choice and a source of inspiration for a broad spectrum of scientists, mathematicians, research students and postdoctoral fellows.


Compatible Finite Element Methods For Geophysical Flows

Author by : Thomas H. Gibson
Languange : en
Publisher by : Springer Nature
Format Available : PDF, ePub, Mobi
Total Read : 99
Total Download : 747
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Description : This book introduces recently developed mixed finite element methods for large-scale geophysical flows that preserve essential numerical properties for accurate simulations. The methods are presented using standard models of atmospheric flows and are implemented using the Firedrake finite element library. Examples guide the reader through problem formulation, discretisation, and automated implementation. The so-called “compatible” finite element methods possess key numerical properties which are crucial for real-world operational weather and climate prediction. The authors summarise the theory and practical implications of these methods for model problems, introducing the reader to the Firedrake package and providing open-source implementations for all the examples covered. Students and researchers with engineering, physics, mathematics, or computer science backgrounds will benefit from this book. Those readers who are less familiar with the topic are provided with an overview of geophysical fluid dynamics.


Mathematical Models And Methods For Planet Earth

Author by : Alessandra Celletti
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 34
Total Download : 256
File Size : 45,5 Mb
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Description : 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 And Geosciences Global And Local Perspectives

Author by : Jesús I. Diaz
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 58
Total Download : 328
File Size : 40,8 Mb
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Description : 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.


Go Figure

Author by : Anne Rooney
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 47
Total Download : 282
File Size : 45,5 Mb
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Description : 'Go Figure ' aims to get children back into maths Using photos, pictograms, infographics, and other data visualization techniques it explains the key maths principles of number, geometry, statistics, ratio and proportion, algebra and measurement.


Mesh Dependence In Pde Constrained Optimisation

Author by : Tobias Schwedes
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 77
Total Download : 777
File Size : 43,7 Mb
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Description : This book provides an introduction to PDE-constrained optimisation using finite elements and the adjoint approach. The practical impact of the mathematical insights presented here are demonstrated using the realistic scenario of the optimal placement of marine power turbines, thereby illustrating the real-world relevance of best-practice Hilbert space aware approaches to PDE-constrained optimisation problems. Many optimisation problems that arise in a real-world context are constrained by partial differential equations (PDEs). That is, the system whose configuration is to be optimised follows physical laws given by PDEs. This book describes general Hilbert space formulations of optimisation algorithms, thereby facilitating optimisations whose controls are functions of space. It demonstrates the importance of methods that respect the Hilbert space structure of the problem by analysing the mathematical drawbacks of failing to do so. The approaches considered are illustrated using the optimisation problem arising in tidal array layouts mentioned above. This book will be useful to readers from engineering, computer science, mathematics and physics backgrounds interested in PDE-constrained optimisation and their real-world applications.


Towards Mathematics Computers And Environment A Disasters Perspective

Author by : Leonardo Bacelar Lima Santos
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 66
Total Download : 505
File Size : 40,8 Mb
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Description : With relevant, timely topics, this book gathers carefully selected, peer-reviewed scientific works and offers a glimpse of the state-of-the-art in disaster prevention research, with an emphasis on challenges in Latin America. Topics include studies on surface frost, an extreme meteorological event that occasionally affects parts of Argentina, Bolivia, Peru, and southern Brazil, with serious impacts on local economies; near-ground pollution concentration, which affects many industrial, overpopulated cities within Latin America; disaster risk reduction and management, which are represented by mathematical models designed to assess the potential impact of failures in complex networks; and the intricate dynamics of international armed conflicts, which can be modeled with the help of stochastic theory. The book offers a valuable resource for professors, researchers, and students from both mathematical and environmental sciences, civil defense coordinators, policymakers, and stakeholders.


Mathematical Models And Methods For Planet Earth

Author by : Alessandra Celletti
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 44
Total Download : 196
File Size : 46,7 Mb
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Description : 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.


An Introduction To Mathematical Modeling Of Infectious Diseases

Author by : Michael Y. Li
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 11
Total Download : 350
File Size : 52,6 Mb
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Description : 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.


Models For Tropical Climate Dynamics

Author by : Boualem Khouider
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 49
Total Download : 309
File Size : 42,9 Mb
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Description : This book is a survey of the research work done by the author over the last 15 years, in collaboration with various eminent mathematicians and climate scientists on the subject of tropical convection and convectively coupled waves. In the areas of climate modelling and climate change science, tropical dynamics and tropical rainfall are among the biggest uncertainties of future projections. This not only puts at risk billions of human beings who populate the tropical continents but it is also of central importance for climate predictions on the global scale. This book aims to introduce the non-expert readers in mathematics and theoretical physics to this fascinating topic in order to attract interest into this difficult and exciting research area. The general thyme revolves around the use of new deterministic and stochastic multi-cloud models for tropical convection and convectively coupled waves. It draws modelling ideas from various areas of mathematics and physics and used in conjunction with state-of-the-art satellite and in-situ observations and detailed numerical simulations. After a review of preliminary material on tropical dynamics and moist thermodynamics, including recent discoveries based on satellite observations as well as Markov chains, the book immerses the reader into the area of models for convection and tropical waves. It begins with basic concepts of linear stability analysis and ends with the use of these models to improve the state-of-the-art global climate models. The book also contains a fair amount of exercises that makes it suitable as a textbook complement on the subject.


Mathematical Strategies For Climate And Long Range Weather Forecasting In Hierarchy Of Models

Author by : Andrew Majda
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 97
Total Download : 189
File Size : 42,6 Mb
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Description : This book gives a research exposition of interdisciplinary topics at the cutting edge of the applied mathematics of climate change and long range weather forecasting through a hierarchy of models with contemporary applications to grand challenges such as intraseasonal weather prediction. The developments include recent physics constrained low-order models, new analog prediction models, and equation free methods to capture intermittency and low frequency variabilities in massive datasets through Nonlinear Laplacian Spectral Analysis (NLSA) which combines delayed embeddings, causal constraints, and machine learning. Applications to grand challenges such as tropical intraseasonal variability of the Madden-Julian Oscillation (MJO) and the Monsoon as well as sea ice re-emergence in the Arctic on yearly time scales. A highlight is the exposition and pedagogical development of recent intermediate stochastic skeleton models to capture the main features of the MJO through PDE ideas, stochastics, and physical reasoning and compared with observational data. The mathematical theory of model error and the use of information theory combined with linear statistical response theory in a calibration stage are applied to improve long range forecasting and multi-scale data assimilation with concrete examples.


Applied Wave Mathematics Ii

Author by : Arkadi Berezovski
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 81
Total Download : 977
File Size : 52,8 Mb
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Description : This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.


Mathematics Education In Brazil

Author by : Alessandro Jacques Ribeiro
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 88
Total Download : 441
File Size : 41,5 Mb
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Description : This book presents, for the first time in English, the state of the art of Mathematics Education research in Brazil, a country that has the strongest community in this field in Latin America. Edited by leading researchers in the area, the volume provides the international academic community a summary of the scientific production of the thirteen working groups of the Brazilian Society of Mathematics Education (SBEM), the national scientific society that brings together researchers, teachers, students and other professionals of the area. These working groups meet every three years at the International Seminar of Mathematics Education (SIPEM) and cover the following topics: Mathematics Education in the Early Years and Primary Education (Y1-Y5); Mathematics Education in the Middle School (Y6-Y9); Mathematics Education in the High School (Y10-Y12); Mathematics Education at the University level; History of Mathematics, Culture and Mathematics Education; Digital Technologies and Distance Education; Teacher Education; Assessment and Mathematics Education; Cognitive and Linguistic Processes in Mathematics Education; Mathematical Modeling; Philosophy of Mathematics Education, Teaching Probability and Statistics; and Difference, Inclusion and Mathematics Education. Each chapter of the book presents an overview of the production of a working group and they are all preceded by an introduction by professor Ubiratan D’Ambrosio, one of the pioneers of Mathematics Education in Brazil.