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| Author | : Xin-She Yang |
| Publisher | : Liverpool University Press |
| Total Pages | : 322 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : |
Mathematical modelling and computer simulations are an essential part of the analytical toolset used by earth scientists. In this textbook, Dr Yang has carefully selected topics which will be of most value to students.
| Author | : Rudy Slingerland |
| Publisher | : Princeton University Press |
| Total Pages | : 246 |
| Release | : 2011-03-28 |
| Genre | : Science |
| ISBN | : 1400839114 |
A concise guide to representing complex Earth systems using simple dynamic models Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html
| Author | : Vladimir Karev |
| Publisher | : Springer |
| Total Pages | : 382 |
| Release | : 2018-03-24 |
| Genre | : Science |
| ISBN | : 3319777882 |
This book is the result of collaboration within the framework of the Third International Scientific School for Young Scientists held at the Ishlinskii Institute for Problems in Mechanics of Russian Academy of Sciences, 2017, November. The papers included describe studies on the dynamics of natural system – geosphere, hydrosphere, atmosphere—and their interactions, the human contribution to naturally occurring processes, laboratory modeling of earth and environment processes, and testing of new developed physical and mathematical models. The book particularly focuses on modeling in the field of oil and gas production as well as new alternative energy sources.
| Author | : Adrian Burd |
| Publisher | : Cambridge University Press |
| Total Pages | : 599 |
| Release | : 2019-04-18 |
| Genre | : Mathematics |
| ISBN | : 1107117488 |
An accessible introduction to the mathematical methods essential for understanding processes in the Earth and environmental sciences.
| Author | : Andrew Fowler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 895 |
| Release | : 2011-06-21 |
| Genre | : Mathematics |
| ISBN | : 085729721X |
Mathematical Geoscience is an expository textbook which aims to provide a comprehensive overview of a number of different subjects within the Earth and environmental sciences. Uniquely, it treats its subjects from the perspective of mathematical modelling with a level of sophistication that is appropriate to their proper investigation. The material ranges from the introductory level, where it can be used in undergraduate or graduate courses, to research questions of current interest. The chapters end with notes and references, which provide an entry point into the literature, as well as allowing discursive pointers to further research avenues. The introductory chapter provides a condensed synopsis of applied mathematical techniques of analysis, as used in modern applied mathematical modelling. There follows a succession of chapters on climate, ocean and atmosphere dynamics, rivers, dunes, landscape formation, groundwater flow, mantle convection, magma transport, glaciers and ice sheets, and sub-glacial floods. This book introduces a whole range of important geoscientific topics in one single volume and serves as an entry point for a rapidly expanding area of genuine interdisciplinary research. By addressing the interplay between mathematics and the real world, this book will appeal to graduate students, lecturers and researchers in the fields of applied mathematics, the environmental sciences and engineering.
| Author | : George Christakos |
| Publisher | : Courier Corporation |
| Total Pages | : 514 |
| Release | : 2012-08-09 |
| Genre | : Science |
| ISBN | : 0486160912 |
This text for graduate students examines problems related to earth and environmental sciences by means of theoretical models based on a purely random (stochastic) element. 103 figures. 16 tables.
| Author | : Cyril Fleurant |
| Publisher | : Springer |
| Total Pages | : 191 |
| Release | : 2018-09-19 |
| Genre | : Science |
| ISBN | : 3319692429 |
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 | : Guy Simpson |
| Publisher | : John Wiley & Sons |
| Total Pages | : 272 |
| Release | : 2017-03-01 |
| Genre | : Science |
| ISBN | : 1119248655 |
Mathematical models have become a crucial way for the Earth scientist to understand and predict how our planet functions and evolves through time and space. The finite element method (FEM) is a remarkably flexible and powerful tool with enormous potential in the Earth Sciences. This pragmatic guide explores how a variety of different Earth science problems can be translated and solved with FEM, assuming only basic programming experience. This book begins with a general introduction to numerical modeling and includes multiple sample Matlab codes to illustrate how FEM is implemented in practice. Textboxes have been included to provide additional detail, such as specialized Matlab usage or advanced topics. Covering all the key aspects, this is essential reading for those looking to master the technique, as well as those simply seeking to increase their basic level of understanding and appreciation of FEM.
| Author | : Dieter M. Imboden |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 256 |
| Release | : 2012-12-14 |
| Genre | : Science |
| ISBN | : 364230639X |
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
| Author | : Alessandra Celletti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 174 |
| Release | : 2014-03-05 |
| Genre | : Science |
| ISBN | : 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.
