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An examination of global geochemical cycles - the processes that control the chemical composition of the environment, particularly the ocean and the atmosphere. Emphasis is placed on the methods used to calculate the composition of the environment, and to calculate changes that may occur.
This book presents the latest numerical solutions to initial value problems and boundary valu problems described by ODES (Ordinary differencial equations) and PDEs (partiral differential equations). The primary focus in numerical solutions to initial value problems (IVPs) and boundary value problems (BVPs).
A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.
The book is conceived at two levels. An introductory one intended for undergraduate and/or environmental studies students and the other (in the appendix) for advanced students (graduate). The book is different from others on the same subject which are either too descriptive or too much specialized. Beside there are large sections on biogeochemistry not usually found in other textbooks. Whenever possible an approach based on entropy considerations is introduced. The book includes a quite classical introduction to the thermodynamics of ocean and atmosphere, then the circulation of the ocean and atmosphere, the connection climate-chemistry with main emphasis on the carbon dioxide problem. The chemistry is also considered in connection with the polluted atmosphere and ocean and particulate in the atmosphere . A chapter is dedicated to the biogeochemical cycles which are solved both with the integration of a system of equations or matrix algebra. An original chapter is dedicated to sea-atmosphere interactions which includes the monsoons meteorology, hurricanes and the ENSO phenomena. Finally a concise description of the fluid environments in the Solar System is given.
The unique compendium is an introductory reference to learn the most popular numerical methods cohesively. The text focuses on practical applications rather than on abstract and heavy analytical concepts. The key elements of the numerical methods are Taylor series and linear algebra. Based on the authors' years of experience, most materials on the text are tied to those elements in a unified manner.The useful reference manual benefits professionals, researchers, academics, senior undergraduate and graduate students in chemical engineering, civil engineering, mechanical engineering and aerospace engineering.
Certain trace gases in the atmosphere are able to absorb electromagnetic energy from the reflection of solar radiation from the Earth's surface. These gases have been increasing steadily and there is concern that they will change global climatic conditions by warming the atmosphere--the so-called ``greenhouse effect.'' Many of these gases originate from biological systems. The Biogeochemistry of Global Change discusses the role of radiative trace gases in this process. The disciplines covered in the book include microbiology, geochemistry, atmospheric chemistry, plant physiology, oceanography and limnology, and soil science. This diversity allows for cross-fertilization, achieving a better understanding of the complex mechanisms for biological and chemical formation, the destruction of trace gases, and the manipulation of ecosystems. Some of the topics covered include: biological mechanisms of formation and destruction of various ``greenhouse'' gases (such as methane, nitrous oxide, carbon dioxide, dimethylsulfide, and chlorofluorocarbons); the outward and consumptive flux of trace gases from marine and terrestrial systems (including anthropogenic sources); global trace gas modeling studies; the atmospheric physical and chemical reactions of trace gases; and the environmental significance of various trace gases in ancient and current atmospheres. The Biogeochemistry of Global Change provides both reviews and primary source material for active researchers in this field and for microbiologists and atmospheric chemists.
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
This book is intended to help advanced undergraduate, graduate, and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues, as well as optimization of program execution speeds. Numerous examples are given throughout the chapters, followed by comprehensive end-of-chapter problems with a more pronounced physics background, while less stress is given to the explanation of individual algorithms. The readers are encouraged to develop a certain amount of skepticism and scrutiny instead of blindly following readily available commercial tools. The second edition has been enriched by a chapter on inverse problems dealing with the solution of integral equations, inverse Sturm-Liouville problems, as well as retrospective and recovery problems for partial differential equations. The revised text now includes an introduction to sparse matrix methods, the solution of matrix equations, and pseudospectra of matrices; it discusses the sparse Fourier, non-uniform Fourier and discrete wavelet transformations, the basics of non-linear regression and the Kolmogorov-Smirnov test; it demonstrates the key concepts in solving stiff differential equations and the asymptotics of Sturm-Liouville eigenvalues and eigenfunctions. Among other updates, it also presents the techniques of state-space reconstruction, methods to calculate the matrix exponential, generate random permutations and compute stable derivatives.
Written expressly for undergraduate and graduate geologists, this book focuses on how geochemical principles can be used to solve practical problems. The attention to problem-solving reflects the authors'belief that showing how theory is useful in solving real-life problems is vital for learning. The book gives students a thorough grasp of the basic principles of the subject, balancing the traditional equilibrium perspective and the kinetic viewpoint. The first half of the book considers processes in which temperature and pressure are nearly constant. After introductions to the laws of thermodynamics, to fundamental equations for flow and diffusion, and to solution chemistry, these principles are used to investigate diagenesis, weathering, and natural waters. The second half of the book applies thermodynamics and kinetics to systems undergoing changes in temperature and pressure during magmatism and metamorphism. This revised edition incorporates new geochemical discoveries as examples of processes and pathways, with new chapters on mineral structure and bonding and on organic matter and biomarkers. Each chapter has worked problems, and the authors assume that the student has had a year of college-level chemistry and a year of calculus. Praise for the first edition "A truly modern geochemistry book.... Very well written and quite enjoyable to read.... An excellent basic text for graduate level instruction in geochemistry." —Journal of Geological Education "An up-to-date, broadly conceived introduction to geochemistry.... Given the recent flowering of geochemistry as an interdisciplinary science, and given the extent to which it now draws upon the fundamentals of thermodynamics and kinetics to understand earth and planetary processes, this timely and rigorous [book] is welcome indeed." —Geochimica et Cosmochimica Acta