Mathematics In Geology

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Mathematics in Geology

Author : John Ferguson
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 48,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9789401540094

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Mathematics in Geology by John Ferguson Pdf

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.

Handbook of Mathematical Geosciences

Author : B.S. Daya Sagar,Qiuming Cheng,Frits Agterberg
Publisher : Springer
Page : 914 pages
File Size : 42,9 Mb
Release : 2018-06-25
Category : Science
ISBN : 9783319789996

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Handbook of Mathematical Geosciences by B.S. Daya Sagar,Qiuming Cheng,Frits Agterberg Pdf

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.

Mathematics: a Simple Tool for Geologists

Author : Waltham, D.
Publisher : Routledge
Page : 201 pages
File Size : 45,7 Mb
Release : 2013-08-21
Category : Science
ISBN : 9781134983018

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Mathematics: a Simple Tool for Geologists by Waltham, D. Pdf

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.

Mathematics for Earth Science and Geography

Author : Cyril Fleurant,Sandrine Bodin-Fleurant
Publisher : Springer
Page : 191 pages
File Size : 47,6 Mb
Release : 2018-09-19
Category : Science
ISBN : 9783319692425

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Mathematics for Earth Science and Geography by Cyril Fleurant,Sandrine Bodin-Fleurant Pdf

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.

Encyclopedia of Mathematical Geosciences

Author : B. S. Daya Sagar,Qiuming Cheng,Jennifer McKinley,Frits Agterberg
Publisher : Springer Nature
Page : 1744 pages
File Size : 45,7 Mb
Release : 2023-07-13
Category : Science
ISBN : 9783030850401

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Encyclopedia of Mathematical Geosciences by B. S. Daya Sagar,Qiuming Cheng,Jennifer McKinley,Frits Agterberg Pdf

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.

Mathematics: A Simple Tool for Geologists

Author : David Waltham
Publisher : Psychology Press
Page : 204 pages
File Size : 51,9 Mb
Release : 1994-06-09
Category : Mathematics
ISBN : 0748744975

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Mathematics: A Simple Tool for Geologists by David Waltham Pdf

First Published in 1994. Routledge is an imprint of Taylor & Francis, an informa company.

Essential Maths for Geoscientists

Author : Paul I. Palmer
Publisher : John Wiley & Sons
Page : 216 pages
File Size : 43,6 Mb
Release : 2014-06-16
Category : Science
ISBN : 9780470971932

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Essential Maths for Geoscientists by Paul I. Palmer Pdf

Essential Maths for Geoscientists: An Introduction is an accessible, student-friendly introduction to the mathematics required by those students taking degree courses within the geosciences. Clearly structured throughout, this book carefully guides students step by step through the first mathematics they will encounter and provides numerous applied examples throughout to enhance students’ understanding and to place each technique in context. Opening with a chapter explaining the need for studying mathematics within geosciences, this book then moves on to cover algebra, solving equations, logarithms and exponentials, uncertainties, errors and statistics, trigonometry, vectors and basic calculus. The final chapter helps to bring the subject all together and provides detailed applied questions to test students’ knowledge. Worked applied examples are included in each chapter along with applied problem questions which are a mix of straightforward maths questions, word questions and more involved questions that involve the manipulation and interpretation of real and synthetic data. The emphasis in the book is on the application of relatively rudimentary mathematics to real-life scientific problems within the geosciences, enabling students to make use of current-day research problems and real datasets.

Evaluation of Uncertainties and Risks in Geology

Author : György Bardossy,János Fodor
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 42,5 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662071380

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Evaluation of Uncertainties and Risks in Geology by György Bardossy,János Fodor Pdf

High levels of uncertainty are a trademark of geological investigations, such as the search for oil, diamonds, and uranium. So business ventures related to geology, such as mineral exploration and mining, are naturally associated with higher risks than more traditional entrepreneurial ventures in industry and economy. There are also a number of dangerous natural hazards, e.g. earthquakes, volcanic activities, and inundations, that are the direct result of geological processes. It is of paramount interest to study them all, to describe them, to understand their origin and - if possible - to predict them. While uncertainties, geological risks and natural hazards are often mentioned in geological textbooks, conferences papers, and articles, no comprehensive and systematic evaluation has so far been attempted. This book, written at an appropriately sophisticated level to deal with complexity of these problems, presents a detailed evaluation of the entire problem, discussing it from both, the geological and the mathematical aspects.

Topics in Mathematical Geology

Author : Mariya A. Romanova
Publisher : Springer
Page : 0 pages
File Size : 49,6 Mb
Release : 2013-07-18
Category : Science
ISBN : 1489927107

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Topics in Mathematical Geology by Mariya A. Romanova Pdf

Collections of this sort are a regular publication feature of the Laboratory of Mathemati cal Geology of the Order of Lenin V. A. Steklov Mathematical Institute of the Academy of Sci ences of the USSR. In the future it is intended that further collections and monographs reflect ing the activity of the Laboratory be issued. In this present collection, in addition to workers of the Laboratory of Mathematical Geology, specialists of both Russia and many foreign countries participated. This has permit ted us to display the general level of mathematization of geology in 1966. In order to enhance the overall view, the editors have included a section "Chronicle and Bibliography" in which in formation is given on the most important actions relating to mathematization of geology taking place in 1965 and the first half of 1966, and which includes a bibliography on two-dimensional regressions having great practical value in geology but little known to us in the Soviet Union.

Computational Geosciences with Mathematica

Author : William Haneberg
Publisher : Springer Science & Business Media
Page : 386 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642185540

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Computational Geosciences with Mathematica by William Haneberg Pdf

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.

Mathematics: a Simple Tool for Geologists

Author : Waltham, D.
Publisher : Routledge
Page : 208 pages
File Size : 42,5 Mb
Release : 2013-08-21
Category : Science
ISBN : 9781134983087

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Mathematics: a Simple Tool for Geologists by Waltham, D. Pdf

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.

Dictionary of Mathematical Geosciences

Author : Richard J. Howarth
Publisher : Springer
Page : 893 pages
File Size : 45,8 Mb
Release : 2017-05-27
Category : Science
ISBN : 9783319573151

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Dictionary of Mathematical Geosciences by Richard J. Howarth Pdf

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.

Multiple-point Geostatistics

Author : Professor Gregoire Mariethoz,Jef Caers
Publisher : John Wiley & Sons
Page : 376 pages
File Size : 46,8 Mb
Release : 2014-10-16
Category : Science
ISBN : 9781118662939

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Multiple-point Geostatistics by Professor Gregoire Mariethoz,Jef Caers Pdf

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.

Principles of Mathematical Geology

Author : A.B. Vistelius
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401129343

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Principles of Mathematical Geology by A.B. Vistelius Pdf

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.

Introduction to Linear Algebra in Geology

Author : J. Ferguson
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 42,7 Mb
Release : 1994-05-31
Category : Mathematics
ISBN : 9780412493508

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Introduction to Linear Algebra in Geology by J. Ferguson Pdf

Introduction to Linear Algebra in Geology introduces linear algebra to students of geology and explores the possibilities of using the techniques as an aid to solving geological problems which can be solved numerically. A basic knowledge of geology is assumed.