mathematical modeling of earth s dynamical systems a primer

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Mathematical Modeling Of Earth S Dynamical Systems

Author : Rudy Slingerland
ISBN : 1400839114
Genre : Science
File Size : 60. 49 MB
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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

Modeling Of Atmospheric Chemistry

Author : Guy P. Brasseur
ISBN : 9781108210959
Genre : Science
File Size : 70. 85 MB
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Mathematical modeling of atmospheric composition is a formidable scientific and computational challenge. This comprehensive presentation of the modeling methods used in atmospheric chemistry focuses on both theory and practice, from the fundamental principles behind models, through to their applications in interpreting observations. An encyclopaedic coverage of methods used in atmospheric modeling, including their advantages and disadvantages, makes this a one-stop resource with a large scope. Particular emphasis is given to the mathematical formulation of chemical, radiative, and aerosol processes; advection and turbulent transport; emission and deposition processes; as well as major chapters on model evaluation and inverse modeling. The modeling of atmospheric chemistry is an intrinsically interdisciplinary endeavour, bringing together meteorology, radiative transfer, physical chemistry and biogeochemistry, making the book of value to a broad readership. Introductory chapters and a review of the relevant mathematics make this book instantly accessible to graduate students and researchers in the atmospheric sciences.

Management And Mitigation Of Acid Mine Drainage In South Africa

Author : Mujuru, Munyaradzi
ISBN : 9780798304986
Genre : Nature
File Size : 25. 86 MB
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South Africa is facing the increasing challenge of acid mine drainage (AMD) whose genesis is the country’s mining history, which paid limited attention to post-mining mine site management. In mineral resource-rich Africa, this has emerged as one of the most daunting challenges of our time. South Africa has been bold in its approach to mitigating this problem, although the challenge is multi-faceted. On a positive note, substantial research has been conducted to confront the challenge. However, thus far, the research has been largely fragmented. This book builds on the work that has been done, but also provides a refreshing multi-disciplinary approach that is useful in addressing the AMD challenges that South Africa and the continent face. Whilst addressing the problem as a scientific and engineering challenge, the book also exposes the economic, policy and legal challenges involved in addressing the problem. The book concludes, quite uniquely, that AMD is an opportunity that can be used by South Africa and Africa to solve problems, such as acute water shortage, as well as mineral recovery operations.

Pythonic Geodynamics

Author : Gabriele Morra
ISBN : 9783319556826
Genre : Science
File Size : 32. 33 MB
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This book addresses students and young researchers who want to learn to use numerical modeling to solve problems in geodynamics. Intended as an easy-to-use and self-learning guide, readers only need a basic background in calculus to approach most of the material. The book difficulty increases very gradually, through four distinct parts. The first is an introduction to the Python techniques necessary to visualize and run vectorial calculations. The second is an overview with several examples on classical Mechanics with examples taken from standard introductory physics books. The third part is a detailed description of how to write Lagrangian, Eulerian and Particles in Cell codes for solving linear and non-linear continuum mechanics problems. Finally the last one address advanced techniques like tree-codes, Boundary Elements, and illustrates several applications to Geodynamics. The entire book is organized around numerous examples in Python, aiming at encouraging the reader to le arn by experimenting and experiencing, not by theory.

Complex And Adaptive Dynamical Systems

Author : Claudius Gros
ISBN : 9783642365867
Genre : Science
File Size : 72. 83 MB
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Complex system theory is rapidly developing and gaining importance, providing tools and concepts central to our modern understanding of emergent phenomena. This primer offers an introduction to this area together with detailed coverage of the mathematics involved. All calculations are presented step by step and are straightforward to follow. This new third edition comes with new material, figures and exercises. Network theory, dynamical systems and information theory, the core of modern complex system sciences, are developed in the first three chapters, covering basic concepts and phenomena like small-world networks, bifurcation theory and information entropy. Further chapters use a modular approach to address the most important concepts in complex system sciences, with the emergence and self-organization playing a central role. Prominent examples are self-organized criticality in adaptive systems, life at the edge of chaos, hypercycles and coevolutionary avalanches, synchronization phenomena, absorbing phase transitions and the cognitive system approach to the brain. Technical course prerequisites are the standard mathematical tools for an advanced undergraduate course in the natural sciences or engineering. Each chapter comes with exercises and suggestions for further reading - solutions to the exercises are provided in the last chapter. From the reviews of previous editions: This is a very interesting introductory book written for a broad audience of graduate students in natural sciences and engineering. It can be equally well used both for teaching and self-education. Very well structured and every topic is illustrated by simple and motivating examples. This is a true guidebook to the world of complex nonlinear phenomena. (Ilya Pavlyukevich, Zentralblatt MATH, Vol. 1146, 2008) "Claudius Gros's Complex and Adaptive Dynamical Systems: A Primer is a welcome addition to the literature. . A particular strength of the book is its emphasis on analytical techniques for studying complex systems. (David P. Feldman, Physics Today, July, 2009)

Dynamic Modeling Of Environmental Systems

Author : Michael Deaton
ISBN : 9781461213000
Genre : Mathematics
File Size : 67. 18 MB
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A primer on modeling concepts and applications that is specifically geared toward the environmental field. Sections on modeling terminology, the uses of models, the model-building process, and the interpretation of output provide the foundation for detailed applications. After an introduction to the basics of dynamic modeling, the book leads students through an analysis of several environmental problems, including surface-water pollution, matter-cycling disruptions, and global warming. The scientific and technical context is provided for each problem, and the methods for analyzing and designing appropriate modeling approaches is provided. While the mathematical content does not exceed the level of a first-semester calculus course, the book gives students all of the background, examples, and practice exercises needed both to use and understand environmental modeling. It is suitable for upper-level undergraduate and beginning-graduate level environmental professionals seeking an introduction to modeling in their field.

Petroleum Abstracts

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ISBN : STANFORD:36105007711745
Genre : Petroleum
File Size : 75. 55 MB
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Scientific And Technical Aerospace Reports

Author :
ISBN : UIUC:30112106623371
Genre : Aeronautics
File Size : 86. 33 MB
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Applied Mechanics Reviews

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ISBN : UIUC:30112043751830
Genre : Mechanics, Applied
File Size : 38. 21 MB
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Subject Guide To Books In Print

Author :
ISBN : STANFORD:36105025888533
Genre : American literature
File Size : 76. 45 MB
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