Mathematics Of Planet Earth

Author : Hans G. Kaper,Fred S. Roberts
Publisher : Springer Nature
Page : 374 pages
File Size : 48,8 Mb
Release : 2019-11-01
Category : Mathematics
ISBN : 9783030220440

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Mathematics of Planet Earth by Hans G. Kaper,Fred S. Roberts Pdf

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.

Author : Dan Crisan,Darryl D Holm,Colin Cotter,Davoud Cheraghi,Ben Calderhead,Jochen Broecker,Tobias Kuna,Ted Shepherd,Hilary Weller,Beatrice Pelloni
Publisher : World Scientific
Page : 372 pages
File Size : 45,6 Mb
Release : 2017-07-27
Category : Mathematics
ISBN : 9781786343857

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Mathematics Of Planet Earth: A Primer by Dan Crisan,Darryl D Holm,Colin Cotter,Davoud Cheraghi,Ben Calderhead,Jochen Broecker,Tobias Kuna,Ted Shepherd,Hilary Weller,Beatrice Pelloni Pdf

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.

Author : Hans Kaper,Christiane Rousseau
Publisher : SIAM
Page : 206 pages
File Size : 53,7 Mb
Release : 2015-03-31
Category : Science
ISBN : 9781611973716

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Mathematics of Planet Earth by Hans Kaper,Christiane Rousseau Pdf

Author : Eulogio Pardo-Igúzquiza,Carolina Guardiola-Albert,Javier Heredia,Luis Moreno-Merino,Juan José Durán,Jose Antonio Vargas-Guzmán
Publisher : Springer Science & Business Media
Page : 861 pages
File Size : 47,7 Mb
Release : 2013-10-07
Category : Science
ISBN : 9783642324086

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Mathematics of Planet Earth by Eulogio Pardo-Igúzquiza,Carolina Guardiola-Albert,Javier Heredia,Luis Moreno-Merino,Juan José Durán,Jose Antonio Vargas-Guzmán Pdf

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.

Author : Arianna Bianchi,Thomas Hillen,Mark A. Lewis,Yingfei Yi
Publisher : Springer Nature
Page : 267 pages
File Size : 53,7 Mb
Release : 2019-10-02
Category : Mathematics
ISBN : 9783030225834

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The Dynamics of Biological Systems by Arianna Bianchi,Thomas Hillen,Mark A. Lewis,Yingfei Yi Pdf

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.

Author : Jean-Pierre Bourguignon,Rolf Jeltsch,Alberto Adrego Pinto,Marcelo Viana
Publisher : Springer
Page : 430 pages
File Size : 51,6 Mb
Release : 2015-07-29
Category : Mathematics
ISBN : 9783319161211

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Mathematics of Energy and Climate Change by Jean-Pierre Bourguignon,Rolf Jeltsch,Alberto Adrego Pinto,Marcelo Viana Pdf

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.

Author : John Roe,Russ deForest,Sara Jamshidi
Publisher : Springer
Page : 523 pages
File Size : 51,9 Mb
Release : 2018-04-26
Category : Mathematics
ISBN : 9783319766607

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Mathematics for Sustainability by John Roe,Russ deForest,Sara Jamshidi Pdf

Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking is at the fore throughout, as students learn to model sustainability on local, regional, and global scales. Exercises emphasize concepts, while projects build and challenge communication skills. With no prerequisites beyond high school algebra, instructors will find this book a rich resource for engaging all majors in the mathematics classroom. From the Foreword No longer will you be just a spectator when people give you quantitative information—you will become an active participant who can engage and contribute new insights to any discussion.[...] There are many math books that will feed you knowledge, but it is rare to see a book like this one that will help you cultivate wisdom.[...] As the authors illustrate, mathematics that pays attention to human considerations can help you look at the world with a new lens, help you frame important questions, and help you make wise decisions. Francis Edward Su, Harvey Mudd College

Author : Alessandra Celletti,Ugo Locatelli,Tommaso Ruggeri,Elisabetta Strickland
Publisher : Springer Science & Business Media
Page : 174 pages
File Size : 53,5 Mb
Release : 2014-03-05
Category : Science
ISBN : 9783319026572

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Mathematical Models and Methods for Planet Earth by Alessandra Celletti,Ugo Locatelli,Tommaso Ruggeri,Elisabetta Strickland Pdf

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.

Author : Hans Kaper,Hans Engler
Publisher : SIAM
Page : 303 pages
File Size : 43,5 Mb
Release : 2013-10-18
Category : Science
ISBN : 9781611972610

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Mathematics and Climate by Hans Kaper,Hans Engler Pdf

Mathematics and Climate is a timely textbook aimed at students and researchers in mathematics and statistics who are interested in current issues of climate science, as well as at climate scientists who wish to become familiar with qualitative and quantitative methods of mathematics and statistics. The authors emphasize conceptual models that capture important aspects of Earth's climate system and present the mathematical and statistical techniques that can be applied to their analysis. Topics from climate science include the Earth?s energy balance, temperature distribution, ocean circulation patterns such as El Ni?o?Southern Oscillation, ice caps and glaciation periods, the carbon cycle, and the biological pump. Among the mathematical and statistical techniques presented in the text are dynamical systems and bifurcation theory, Fourier analysis, conservation laws, regression analysis, and extreme value theory. The following features make Mathematics and Climate a valuable teaching resource: issues of current interest in climate science and sustainability are used to introduce the student to the methods of mathematics and statistics; the mathematical sophistication increases as the book progresses and topics can thus be selected according to interest and level of knowledge; each chapter ends with a set of exercises that reinforce or enhance the material presented in the chapter and stimulate critical thinking and communication skills; and the book contains an extensive list of references to the literature, a glossary of terms for the nontechnical reader, and a detailed index.

Author : Cyril Fleurant,Sandrine Bodin-Fleurant
Publisher : Springer
Page : 191 pages
File Size : 52,8 Mb
Release : 2018-09-19
Category : Science
ISBN : 9783319692425

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Mathematics for Earth Science and Geography by Cyril Fleurant,Sandrine Bodin-Fleurant Pdf

This undergraduate textbook presents a unique comprehensive overview on Mathematics in Earth Sciences and Geography. It deals with fundamental theoretical and applied mathematics, needed by bachelor students in a wide range of subjects. The book is illustrated with many examples and over a hundred practical exercises, with solutions included in the book. In addition, this textbook highlights numerical resources by using two free software packages (R and Xcas) and introducing their use.

Author : Timothy G. Feeman
Publisher : American Mathematical Soc.
Page : 141 pages
File Size : 44,9 Mb
Release : 2002
Category : Cartography
ISBN : 9780821832554

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Portraits of the Earth by Timothy G. Feeman Pdf

``Every map is a tool, a product of human effort and creativity, that represents some aspects of our world or universe ... [This] course was powered by the belief that by exploring the mathematical ideas involved in creating and analyzing maps, students would see how mathematics could help them to understand and explain their world.'' -from the Preface Portraits of the Earth exemplifies the AMS's mission to bring the power and vitality of mathematical thought to the nonexpert. It isdesigned to teach students to think logically and to analyze the technical information that they so readily encounter every day. Maps are exciting, visual tools that we encounter on a daily basis: from street maps to maps of the world accompanying news stories to geologic maps depicting theunderground structure of the earth. This book explores the mathematical ideas involved in creating and analyzing maps, a topic that is rarely discussed in undergraduate courses. It is the first modern book to present the famous problem of mapping the earth in a style that is highly readable and mathematically accessible to most students. Feeman's writing is inviting to the novice, yet also interesting to readers with more mathematical experience. Through the visual context of maps andmapmaking, students will see how contemporary mathematics can help them to understand and explain the world. Topics explored are the shape and size of the earth, basic spherical geometry, and why one can't make a perfect flat map of the planet. The author discusses different attributes that maps can have anddetermines mathematically how to design maps that have the desired features. The distortions that arise in making world maps are quantitatively analyzed. There is an in-depth discussion on the design of numerous map projections-both historical and contemporary-as well as conformal and equal-area maps. Feeman looks at how basic map designs can be modified to produce maps with any center, and he indicates how to generalize methods to produce maps of arbitrary surfaces of revolution. Also includedare end-of-chapter exercises and laboratory projects. Particularly interesting is a chapter that explains how to use MapleR add-on software to make maps from geographic data points. This book would make an excellent text for a basic undergraduate mathematics or geography course and would beespecially appealing to the teacher who is interested in exciting visual applications in the classroom. It would also serve nicely as supplementary reading for a course in calculus, linear algebra, or differential geometry. Prerequisites include a solid grasp of trigonometry and basic calculus. RWaterloo Maple, Inc., Ontario, Canada.

Author : New Scientist
Publisher : Nicholas Brealey
Page : 224 pages
File Size : 48,5 Mb
Release : 2018-08-07
Category : Science
ISBN : 9781473670396

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This is Planet Earth by New Scientist Pdf

The ancient Greeks called it Gaia; the Romans Terra. We know it simply as Earth, the planet we call home. And what a planet it is. Formed around 4.6 billion years ago from the debris of the big bang and long-dead stars, at first it was nothing special, but somehow it evolved to become the most amazing place in the known Universe. The only living planet we know of, it also has a very unusual moon, a remarkably dynamic surface, a complex atmosphere and a deeply mysterious interior. This is Planet Earth is dedicated to the wonders of Planet Earth. Its past is long and dramatic and its future shrouded in mystery. Yet despite centuries of research, only now are we starting to understand Earth's complexity.

Author : Michael Y. Li
Publisher : Springer
Page : 156 pages
File Size : 49,7 Mb
Release : 2018-01-30
Category : Mathematics
ISBN : 9783319721224

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An Introduction to Mathematical Modeling of Infectious Diseases by Michael Y. Li Pdf

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.

Author : Ben Calderhead
Publisher : World Scientific
Page : 350 pages
File Size : 40,7 Mb
Release : 2018
Category : Mathematics
ISBN : 1786343835

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Mathematics of Planet Earth by Ben Calderhead Pdf

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.

Author : John Hudson Tiner
Publisher : New Leaf Publishing Group
Page : 159 pages
File Size : 40,8 Mb
Release : 2004-07-01
Category : Religion
ISBN : 9781614581550

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Exploring the World of Mathematics by John Hudson Tiner Pdf

Numbers surround us. Just try to make it through a day without using any. It's impossible: telephone numbers, calendars, volume settings, shoe sizes, speed limits, weights, street numbers, microwave timers, TV channels, and the list goes on and on. The many advancements and branches of mathematics were developed through the centuries as people encountered problems and relied upon math to solve them. For instance: What timely invention was tampered with by the Caesars and almost perfected by a pope? Why did ten days vanish in September of 1752? How did Queen Victoria shorten the Sunday sermons at chapel? What important invention caused the world to be divided into time zones? What simple math problem caused the Mars Climate Orbiter to burn up in the Martian atmosphere? What common unit of measurement was originally based on the distance from the equator to the North Pole? Does water always boil at 212? Fahrenheit? What do Da Vinci's Last Supper and the Parthenon have in common? Why is a computer glitch called a "bug"? It's amazing how ten simple digits can be used in an endless number of ways to benefit man. The development of these ten digits and their many uses is the fascinating story you hold in your hands: Exploring the World of Mathematics.