Download or read book Encyclopedia of Mathematical Geosciences written by B. S. Daya Sagar and published by Springer Nature. This book was released on 2023-07-13 with total page 1744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written around 350 separate articles on different topics of mathematical geosciences including contributions on Artificial Intelligence, Big Data, Compositional Data Analysis, Geomathematics, Geostatistics, Geographical Information Science, Mathematical Morphology, Mathematical Petrology, Multifractals, Multiple Point Statistics, Spatial Data Science, Spatial Statistics, and Stochastic Process Modeling. Each topic incorporates cross-referencing to related articles, and also has its own reference list to lead the reader to essential articles within the published literature. The entries are arranged alphabetically, for easy access, and the subject and author indices are comprehensive and extensive.

Download or read book Handbook of Mathematical Geosciences written by B.S. Daya Sagar and published by Springer. This book was released on 2018-06-25 with total page 911 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Open Access handbook published at the IAMG's 50th anniversary, presents a compilation of invited path-breaking research contributions by award-winning geoscientists who have been instrumental in shaping the IAMG. It contains 45 chapters that are categorized broadly into five parts (i) theory, (ii) general applications, (iii) exploration and resource estimation, (iv) reviews, and (v) reminiscences covering related topics like mathematical geosciences, mathematical morphology, geostatistics, fractals and multifractals, spatial statistics, multipoint geostatistics, compositional data analysis, informatics, geocomputation, numerical methods, and chaos theory in the geosciences.

Download or read book Mathematics in Geology written by John Ferguson and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. 1 Solution of geological problems-are mathematical methods necessary? A question which is often asked is whether it is necessary for geologists to know and to use mathematics in the practise of their science. There is no simple answer to this question, and it is true that many geologists have had successful careers without ever needing to get involved in anything other than simple mathematics, and all the indications are that this is likely to continue into the future. However, in many branches of the subject the trend has been towards using a numerical approach for the solution of suitable problems. The extent to which this occurs depends on the nature of the area being studied; thus, in structural geology, which is con cerned in its simplest aspects with the geometrical relationships between various features, there are many problems which are easily solved. More recently the use of analytical methods has allowed the solution of more-difficult problems. In another area, geochemistry, two things have happened. On the theoretical side there has been a greater integration with physical chemistry, which itself is a highly mathematical subject; and on the practical side there is the need to analyse and interpret the vast quantities of data which modem instrumentation produces. Within geology the application of numerical methods has been given various names, so we have numerical geology, geo mathematics, geostatistics and geosimulation.

Download or read book Multiple point Geostatistics written by Professor Gregoire Mariethoz and published by John Wiley & Sons. This book was released on 2014-10-16 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to multiple-point geostatistics, where spatial continuity is described using training images. Multiple-point geostatistics aims at bridging the gap between physical modelling/realism and spatio-temporal stochastic modelling. The book provides an overview of this new field in three parts. Part I presents a conceptual comparison between traditional random function theory and stochastic modelling based on training images, where random function theory is not always used. Part II covers in detail various algorithms and methodologies starting from basic building blocks in statistical science and computer science. Concepts such as non-stationary and multi-variate modeling, consistency between data and model, the construction of training images and inverse modelling are treated. Part III covers three example application areas, namely, reservoir modelling, mineral resources modelling and climate model downscaling. This book will be an invaluable reference for students, researchers and practitioners of all areas of the Earth Sciences where forecasting based on spatio-temporal data is performed.

Download or read book Computational Geosciences with Mathematica written by William Haneberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Geosciences with Mathematica is the only book written by a geologist specifically to show geologists and geoscientists how to use Mathematica to formulate and solve problems. It spans a broad range of geologic and mathematical topics, which are drawn from the author's extensive experience in research, consulting, and teaching. The reference and text leads readers step-by-step through geologic applications such as custom graphics programming, data input and output, linear and differential equations, linear and nonlinear regression, Monte Carlo simulation, time series and image analysis, and the visualization and analysis of geologic surfaces. It is packed with actual Mathematica output and includes boxed Computer Notes with tips and exploration suggestions.

Download or read book Mathematics a Simple Tool for Geologists written by Waltham, D. and published by Routledge. This book was released on 2013-08-21 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uses geological examples to illustrate mathematical ideas. Contains a large number of worked examples, and problems for students to attempt themselves. Answers to all the questions are given at the end of the book.

Download or read book Evaluation of Uncertainties and Risks in Geology written by György Bardossy and published by Springer Science & Business Media. This book was released on 2004-01-22 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is a well known fact that geological investigations are characterized by particularly high incertainties. Furthermore,decisions related to geology, such as mineral exploration, mining investmentsetc. are connected with higher risks than similar decisions in the branches of industry and economy. Finally there are a number of highly dangerous natural hazards, e.g. earthquakes, volcanic activities, inundations etc. that are directly depending on geological processes. It is of paramount interest to study them, to describe them, to understand their origin and - if - possible to predict them. Uncertainties, geological risks and natural hazards are often mentioned in geological text-books, conference proceedings and articles, butno overall evaluation of them has been written so far.The complexity of these problems requires a thorough mathematical treatment.This book has been written with the purpose of presenting a detailed evaluation of the entire problem, discussing it from both the geological and the mathematical aspects.

Download or read book Mathematics for Earth Science and Geography written by Cyril Fleurant and published by Springer. This book was released on 2018-09-19 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Dictionary of Mathematical Geosciences written by Richard J. Howarth and published by Springer. This book was released on 2017-05-27 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dictionary includes a number of mathematical, statistical and computing terms and their definitions to assist geoscientists and provide guidance on the methods and terminology encountered in the literature. Each technical term used in the explanations can be found in the dictionary which also includes explanations of basics, such as trigonometric functions and logarithms. There are also citations from the relevant literature to show the term’s first use in mathematics, statistics, etc. and its subsequent usage in geosciences.

Download or read book Mathematical Geology and Geoinformatics written by Zhao Pengda and published by CRC Press. This book was released on 2021-12-17 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 30th International Geological Congress, providing information on geological hazards map and image analytical systems, mineral resources with integrated information, phase-separation analysis, mineral reserve estimation, and geosciences and management information systems.

Download or read book Fuzzy Logic in Geology written by Robert V. Demicco and published by Elsevier. This book was released on 2003-10-20 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is fuzzy logic?--a system of concepts and methods for exploring modes of reasoning that are approximate rather than exact. While the engineering community has appreciated the advances in understanding using fuzzy logic for quite some time, fuzzy logic's impact in non-engineering disciplines is only now being recognized. The authors of Fuzzy Logic in Geology attend to this growing interest in the subject and introduce the use of fuzzy set theory in a style geoscientists can understand. This is followed by individual chapters on topics relevant to earth scientists: sediment modeling, fracture detection, reservoir characterization, clustering in geophysical data analysis, ground water movement, and time series analysis.George Klir is the Distinguished Professor of Systems Science and Director of the Center for Intelligent Systems, Fellow of the IEEE and IFSA, editor of nine volumes, editorial board member of 18 journals, and author or co-author of 16 booksForeword by the inventor of fuzzy logic-- Professor Lotfi Zadeh

Download or read book Geomathematics Theoretical Foundations Applications and Future Developments written by Frits Agterberg and published by Springer. This book was released on 2014-07-14 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a wealth of geomathematical case history studies performed by the author during his career at the Ministry of Natural Resources Canada, Geological Survey of Canada (NRCan-GSC). Several of the techniques newly developed by the author and colleagues that are described in this book have become widely adopted, not only for further research by geomathematical colleagues, but by government organizations and industry worldwide. These include Weights-of-Evidence modelling, mineral resource estimation technology, trend surface analysis, automatic stratigraphic correlation and nonlinear geochemical exploration methods. The author has developed maximum likelihood methodology and spline-fitting techniques for the construction of the international numerical geologic timescale. He has introduced the application of new theory of fractals and multi fractals in the geostatistical evaluation of regional mineral resources and ore reserves and to study the spatial distribution of metals in rocks. The book also contains sections deemed important by the author but that have not been widely adopted because they require further research. These include the geometry of preferred orientations of contours and edge effects on maps, time series analysis of Quaternary retreating ice sheet related sedimentary data, estimation of first and last appearances of fossil taxa from frequency distributions of their observed first and last occurrences, tectonic reactivation along pre-existing schistosity planes in fold belts, use of the grouped jackknife method for bias reduction in geometrical extrapolations and new applications of the theory of permanent, volume-independent frequency distributions.

Download or read book Geostatistical Glossary and Multilingual Dictionary written by Ricardo A. Olea and published by . This book was released on 1991 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geostatistics is a branch of mathematics that deals with the sampling, analysis, interpretation and display of phenomena that fluctuate in space. Although not all geostatistical methods are probabilistic in nature, the most important accomplishments in the field have been in estimation and forecasting, extending probabilistic methods of stochastic processes and time series analysis to the spatial domain. This book gives the only available comprehensive collection of definitions of geostatistical terms. It lists more than 600 entries selected from the book and journal literature through the end of 1989. Where appropriate, multiple meanings have been included for specific terms. Cross-references abound to help the reader when the definitions of a word leads to the search for other terms. Although all the definitions are in English, equivalent terms are provided in alphabetized lists in Chinese, French, German, Greek, Portuguese, Russian and Spanish. This volume will provide a useful reference for students, scientists, engineers, and others concerned with the meaning of terms found in the geostatistical literature and heard in professional practice. Definitions and entries have been prepared with multiple levels of rigor and complexity, in order to provide help to a readership that may range from inexperienced practitioners to advanced researchers.

Download or read book Principles of Mathematical Geology written by A.B. Vistelius and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface to the English edition xiii Basic notations xv Introduction xvii amPl'ER 1. Mathenatical Geology and the Developnent of Geological Sciences 1 1. 1 Introduction 1 1. 2 Developnent of geology and the change of paradigms 2 1. 3 Organization of the mediun and typical structures 8 1. 4 statement of the problem: the role of models in the search for solutions 14 1. 5 Mathematical geology and its developnent 19 References 23 amPTER II. Probability Space and Randan Variables 29 11. 1 Introduction 29 11. 2 Discrete space of elementary events 29 11. 2. 1 Probability space 30 II. 2 • 2 Randan variabl es 33 11. 3 Kolroogorov's axian; The Lebesgue integral 35 II. 3. 1 Probability space and randan variables 36 I 1. 3. 2 The Lebesgue integral 40 II. 3. 3 Nunerical characteristics of raman variables 44 II. 4 ~les of distributions of randan variables 46 II. 4. 1 Discrete distributions 46 II. 4. 2 Absolutely continuous distributions 51 II. 5 Vector randan variables 58 II. 5. 1 Product of probability spaces 58 II. 5. 2 Distribution of vector randan variables 60 II. 5. 3 Olaracteristics of vector randan variables 65 11. 5. 4 Exanples of distributions of vector raman variabl es 69 II . 5. 5 Conditional distributions with respect to randan variables 81 II. 6 Transfomations of randan variables 90 11. 6. 1 Linear transfomations 91 II. 6. 2 Sane non-linear transfomations 95 11. 6.

Download or read book Mathematical Morphology in Geomorphology and GISci written by Behara Seshadri Daya Sagar and published by CRC Press. This book was released on 2016-04-19 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Morphology in Geomorphology and GISci presents a multitude of mathematical morphological approaches for processing and analyzing digital images in quantitative geomorphology and geographic information science (GISci). Covering many interdisciplinary applications, the book explains how to use mathematical morphology not only to perform

Download or read book Compositional Data Analysis in the Geosciences written by Antonella Buccianti and published by Geological Society of London. This book was released on 2006 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Karl Pearson wrote his paper on spurious correlation in 1897, a lot has been said about the statistical analysis of compositional data, mainly by geologists such as Felix Chayes. The solution appeared in the 1980s, when John Aitchison proposed to use Iogratios. Since then, the approach has seen a great expansion, mainly building on the idea of the `natural geometry' of the sample space. Statistics is expected to give sense to our perception of the natural scale of the data, and this is made possible for compositional data using Iogratios. This publication will be a milestone in this process.

Download or read book Quantitative Structural Geology written by David D. Pollard and published by Cambridge University Press. This book was released on 2020-07-23 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering single-semester undergraduate textbook that balances descriptive and quantitative analysis of geological structures.