Introductory Mathematics For Earth Scientists
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| Author | : Xin-She Yang |
| Publisher | : Dunedin Academic Press |
| Total Pages | : 0 |
| Release | : 2009 |
| Genre | : Earth sciences |
| ISBN | : 9781906716004 |
Any quantitative work in earth sciences requires mathematical analysis. Many mathematical methods are essential to the modeling and analysis of the geological, geophysical, and environmental processes widely studied in earth sciences. This book provides an introduction to the fundamental mathematics that all earth scientists need. Assuming nor more than a standard secondary school level as its starting point, the book is self-contained and provides an essential toolkit of basic mathematics for earth scientists. The topics of earth sciences are vast and multidisciplinary, and consequently the mathematical tools required by its students are diverse and complex. Introductory Mathematics for Earth Scientists strikes a fine balance between coverage and detail. Topics have been selected to provide a concise but comprehensive introductory coverage of all the major and popular mathematical methods. The book offers a 'theorem-free' approach with an emphasis on practicality. With dozens of step-by-step worked examples, the book is especially suitable for non-mathematicians and geoscientists. The topics include binomial theorem, index notations, polynomials, sequences and series, trigonometry, spherical trigonometry, complex numbers, vectors and matrices, ordinary differential equations, partial differential equations, Fourier transforms, numerical methods, and geostatistics. Introductory Mathematics for Earth Scientists introduces a wide range of fundamental and widely-used, mathematical methods. This book is ideal for both undergraduate students and postgraduate students. Additionally, it is a helpful reference for more advanced scientists.
| Author | : Cyril Fleurant |
| Publisher | : Springer |
| Total Pages | : 201 |
| 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 | : Steve McKillup |
| Publisher | : Cambridge University Press |
| Total Pages | : 413 |
| Release | : 2010-03-25 |
| Genre | : Science |
| ISBN | : 1139486691 |
A reader-friendly introduction to geostatistics for students and researchers struggling with statistics. Using simple, clear explanations for introductory and advanced material, it demystifies complex concepts and makes formulas and statistical tests easy to apply. Beginning with a critical evaluation of experimental and sampling design, the book moves on to explain essential concepts of probability, statistical significance and type 1 and type 2 error. An accessible graphical explanation of analysis of variance (ANOVA) leads onto advanced ANOVA designs, correlation and regression, and non-parametric tests including chi-square. Finally, it introduces the essentials of multivariate techniques, multi-dimensional scaling and cluster analysis, analysis of sequences and concepts of spatial analysis. Illustrated with wide-ranging examples from topics across the Earth and environmental sciences, Geostatistics Explained can be used for undergraduate courses or for self-study and reference. Worked examples at the end of each chapter reinforce a clear understanding of the statistical tests and their applications.
| 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 | : 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 | : Martin H. Trauth |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 294 |
| Release | : 2007 |
| Genre | : Computers |
| ISBN | : 3540727485 |
Introduces methods of data analysis in geosciences using MATLAB such as basic statistics for univariate, bivariate and multivariate datasets, jackknife and bootstrap resampling schemes, processing of digital elevation models, gridding and contouring, geostatistics and kriging, processing and georeferencing of satellite images, digitizing from the screen, linear and nonlinear time-series analysis and the application of linear time-invariant and adaptive filters. Includes a brief description of each method and numerous examples demonstrating how MATLAB can be used on data sets from earth sciences.
| Author | : Tim Lenton |
| Publisher | : Oxford University Press |
| Total Pages | : 169 |
| Release | : 2016-02-25 |
| Genre | : Science |
| ISBN | : 0191028959 |
When humanity first glimpsed planet Earth from space, the unity of the system that supports humankind entered the popular consciousness. The concept of the Earth's atmosphere, biosphere, oceans, soil, and rocks operating as a closely interacting system has rapidly gained ground in science. This new field, involving geographers, geologists, biologists, oceanographers, and atmospheric physicists, is known as Earth System Science. In this Very Short Introduction, Tim Lenton considers how a world in which humans could evolve was created; how, as a species, we are now reshaping that world; and what a sustainable future for humanity within the Earth System might look like. Drawing on elements of geology, biology, chemistry, physics, and mathematics, Lenton asks whether Earth System Science can help guide us onto a sustainable course before we alter the Earth system to the point where we destroy ourselves and our current civilisation. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
| Author | : Antonio G. Camacho |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 225 |
| Release | : 2009-05-05 |
| Genre | : Science |
| ISBN | : 3764389079 |
A Complutense International Seminar on "Earth Sciences and Mathematics" was organised and held in Madrid at the Facultad de Ciencias Matemáticas of the Universidad Complutense de Madrid September, 13th-15th, 2006. Scientists from both fields, Mathematics and Earth Sciences, took part in this International Seminar, addressing scientific problems related with our planet from clearly complementary approaches, seeking to gain and learn from this dual approach and proposing a closer collaboration in the near future. This volume is the first one of a Topical Issue on "Earth Sciences and Mathematics" and contains papers addressing different topics as deformation modelling applied to natural hazards, inverse gravimetric problem to determine 3D density structure, advanced differential SAR interferometry, climate change, geomagnetic field, Earthquake statistics, meteorological studies using satellite images, climate energy balance models, study of soils properties, and multifractal data sets.
| Author | : Bernice Kastner |
| Publisher | : Courier Corporation |
| Total Pages | : 194 |
| Release | : 2013-10-17 |
| Genre | : Science |
| ISBN | : 0486320839 |
Created by NASA for high school students interested in space science, this collection of worked problems covers a broad range of subjects, including mathematical aspects of NASA missions, computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus. In addition to enhancing mathematical knowledge and skills, these problems promote an appreciation of aerospace technology and offer valuable insights into the practical uses of secondary school mathematics by professional scientists and engineers. Geared toward high school students and teachers, this volume also serves as a fine review for undergraduate science and engineering majors. Numerous figures illuminate the text, and an appendix explores the advanced topic of gravitational forces and the conic section trajectories.
| Author | : David F. Parkhurst |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 326 |
| Release | : 2007-12-06 |
| Genre | : Science |
| ISBN | : 0387342281 |
This book teaches mathematical structures and how they can be applied in environmental science. Each chapter presents story problems with an emphasis on derivation. For each of these, the discussion follows the pattern of first presenting an example of a type of structure as applied to environmental science. The definition of the structure is presented, followed by additional examples using MATLAB, and analytic methods of solving and learning from the structure.
