Mathematics For Geologists

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Mathematics in Geology

Author : John Ferguson
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 43,5 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.

Mathematics: A Simple Tool for Geologists

Author : David Waltham
Publisher : Psychology Press
Page : 204 pages
File Size : 52,9 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.

Mathematics: a Simple Tool for Geologists

Author : Waltham, D.
Publisher : Routledge
Page : 201 pages
File Size : 55,8 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: a Simple Tool for Geologists

Author : Waltham, D.
Publisher : Routledge
Page : 204 pages
File Size : 50,7 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.

Mathematics for Geologists

Author : V.N. Dech,L.D. Knoring
Publisher : CRC Press
Page : 210 pages
File Size : 42,8 Mb
Release : 1993-10-18
Category : Science
ISBN : 9054102535

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Mathematics for Geologists by V.N. Dech,L.D. Knoring Pdf

Acquaints geologists with logical and physical fundamentals of mathematical methods for geology, as well as enabling those already using mathematics in geology to avoid mistakes, and to identify limitations and pitfalls preventing the use of particular techniques and procedures.

Mathematics

Author : David Waltham
Publisher : John Wiley & Sons
Page : 214 pages
File Size : 40,5 Mb
Release : 2000-04-07
Category : Science
ISBN : 9780632053452

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Mathematics by David Waltham Pdf

This book is for students who did not follow mathematics through to the end of their school careers, and graduates and professionals who are looking for a refresher course. This new edition contains many new problems and also has associated spreadsheets designed to improve students' understanding. These spreadsheets can also be used to solve many of the problems students are likely to encounter during the remainder of their geological careers. The book aims to teach simple mathematics using geological examples to illustrate mathematical ideas. This approach emphasizes the relevance of mathematics to geology, helps to motivate the reader and gives examples of mathematical concepts in a context familiar to the reader. With an increasing use of computers and quantitative methods in all aspects of geology it is vital that geologists be seen as numerate as their colleagues in other physical sciences. The book begins by discussing basic tools such as the use of symbols to represent geological quantities and the use of scientific notation for expressing very large and very small numbers. Simple functional relationships between geological variables are then covered (for example, straight lines, polynomials, logarithms) followed by chapters on algebraic manipulations. The mid-part of the book is devoted to trigonometry (including an introduction to vectors) and statistics. The last two chapters give an introduction to differential and integral calculus. The book is prepared with a large number of worked examples and problems for the students to attempt themselves. Answers to all the questions are given at the end of the book.

Handbook of Mathematical Geosciences

Author : B.S. Daya Sagar,Qiuming Cheng,Frits Agterberg
Publisher : Springer
Page : 914 pages
File Size : 49,5 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.

Computational Geosciences with Mathematica

Author : William Haneberg
Publisher : Springer Science & Business Media
Page : 386 pages
File Size : 44,5 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.

Introduction to Linear Algebra in Geology

Author : J. Ferguson
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 40,7 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.

Mathematical Geoscience

Author : Andrew Fowler
Publisher : Springer Science & Business Media
Page : 895 pages
File Size : 46,7 Mb
Release : 2011-06-21
Category : Mathematics
ISBN : 9780857297211

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Mathematical Geoscience by Andrew Fowler Pdf

Mathematical Geoscience is an expository textbook which aims to provide a comprehensive overview of a number of different subjects within the Earth and environmental sciences. Uniquely, it treats its subjects from the perspective of mathematical modelling with a level of sophistication that is appropriate to their proper investigation. The material ranges from the introductory level, where it can be used in undergraduate or graduate courses, to research questions of current interest. The chapters end with notes and references, which provide an entry point into the literature, as well as allowing discursive pointers to further research avenues. The introductory chapter provides a condensed synopsis of applied mathematical techniques of analysis, as used in modern applied mathematical modelling. There follows a succession of chapters on climate, ocean and atmosphere dynamics, rivers, dunes, landscape formation, groundwater flow, mantle convection, magma transport, glaciers and ice sheets, and sub-glacial floods. This book introduces a whole range of important geoscientific topics in one single volume and serves as an entry point for a rapidly expanding area of genuine interdisciplinary research. By addressing the interplay between mathematics and the real world, this book will appeal to graduate students, lecturers and researchers in the fields of applied mathematics, the environmental sciences and engineering.

Dictionary of Mathematical Geosciences

Author : Richard J. Howarth
Publisher : Springer
Page : 893 pages
File Size : 45,5 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.

Principles of Mathematical Geology

Author : A.B. Vistelius
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 50,5 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.

Topics in Mathematical Geology

Author : Mariya A. Romanova
Publisher : Springer
Page : 289 pages
File Size : 43,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489927088

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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.

Physics for Geologists, Second Edition

Author : Richard Chapman
Publisher : CRC Press
Page : 180 pages
File Size : 51,6 Mb
Release : 2002-09-05
Category : Science
ISBN : 0415288053

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Physics for Geologists, Second Edition by Richard Chapman Pdf

All geologists need a broad understanding of science to understand the processes they study and analytical techniques. In particular, geology students need to grasp the basic physics behind these processes, which this book provides in plain language and simple mathematics. It gives the reader information that will enable him to ascertain the validity of what he reads in scientific literature. Water, an essential component of geology, is emphasized, and many published errors on water are discernible when armed with this text. This updated edition discusses a wide range of topics, including electromagnetic radiation from optics to gamma rays, atomic structure and age-dating, heat and heat flow, electricity and magnetism, stress and strain, sea waves, acoustics, and fluids and fluid flow. The book gives basic definitions and dimensions and also some warnings about misunderstanding mathematical statistics, particularly of linear regression analysis, and unenlightened computation.

Evaluation of Uncertainties and Risks in Geology

Author : György Bardossy,János Fodor
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 53,8 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.