Essential Maths for Geoscientists

Essential Maths for Geoscientists

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  • Author: Paul I. Palmer
  • Publisher: John Wiley & Sons
  • ISBN: 0470971932
  • Category : Science
  • Languages : en
  • Pages : 216

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.


Essential Maths Skills for AS/A-level Geography

Essential Maths Skills for AS/A-level Geography

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  • Author: Helen Harris
  • Publisher:
  • ISBN: 9781471863554
  • Category :
  • Languages : en
  • Pages : 96


Mathematics in Geology

Mathematics in Geology

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  • Author: John Ferguson
  • Publisher: Springer Science & Business Media
  • ISBN: 9401540098
  • Category : Science
  • Languages : en
  • Pages : 299

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.


Mathematical Geoscience

Mathematical Geoscience

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  • Author: Andrew Fowler
  • Publisher: Springer Science & Business Media
  • ISBN: 085729721X
  • Category : Mathematics
  • Languages : en
  • Pages : 895

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.


Mathematics

Mathematics

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  • Author: David Waltham
  • Publisher: John Wiley & Sons
  • ISBN: 1444312367
  • Category : Science
  • Languages : en
  • Pages : 208

This book is for students who did not follow mathematics through tothe end of their school careers, and graduates and professionalswho are looking for a refresher course. This new edition containsmany new problems and also has associated spreadsheets designed toimprove students' understanding. These spreadsheets can also beused to solve many of the problems students are likely to encounterduring the remainder of their geological careers. The book aims to teach simple mathematics using geologicalexamples to illustrate mathematical ideas. This approach emphasizesthe relevance of mathematics to geology, helps to motivate thereader and gives examples of mathematical concepts in a contextfamiliar to the reader. With an increasing use of computers andquantitative methods in all aspects of geology it is vital thatgeologists be seen as numerate as their colleagues in otherphysical sciences. The book begins by discussing basic tools suchas the use of symbols to represent geological quantities and theuse of scientific notation for expressing very large and very smallnumbers. Simple functional relationships between geologicalvariables are then covered (for example, straight lines,polynomials, logarithms) followed by chapters on algebraicmanipulations. The mid-part of the book is devoted to trigonometry(including an introduction to vectors) and statistics. The last twochapters give an introduction to differential and integralcalculus. The book is prepared with a large number of workedexamples and problems for the students to attempt themselves.Answers to all the questions are given at the end of the book.


Computational Geosciences with Mathematica

Computational Geosciences with Mathematica

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  • Author: William Haneberg
  • Publisher: Springer Science & Business Media
  • ISBN: 3642185541
  • Category : Science
  • Languages : en
  • Pages : 386

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

Mathematics: a Simple Tool for Geologists

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  • Author: Waltham, D.
  • Publisher: Routledge
  • ISBN: 1134983085
  • Category : Science
  • Languages : en
  • Pages : 208

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.


Encyclopedia of Mathematical Geosciences

Encyclopedia of Mathematical Geosciences

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  • Author: B. S. Daya Sagar
  • Publisher: Springer Nature
  • ISBN: 3030850404
  • Category : Science
  • Languages : en
  • Pages : 1744

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.


Essential Mathematics for Undergraduates

Essential Mathematics for Undergraduates

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  • Author: Simon G. Chiossi
  • Publisher: Springer Nature
  • ISBN: 3030871746
  • Category : Mathematics
  • Languages : en
  • Pages : 495

This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the underpinning key ideas. It guides STEM students towards developing knowledge and skills to enrich their scientific education. In doing so it avoids the common mechanical approach to problem-solving based on the repetitive application of dry formulas. The presentation preserves the mathematical rigour throughout and still stays accessible to undergraduates. The didactical focus is threaded through the assortment of subjects and reflects in the book’s structure. Part 1 introduces the mathematical language and its rules together with the basic building blocks. Part 2 discusses the number systems of common practice, while the backgrounds needed to solve equations and inequalities are developed in Part 3. Part 4 breaks down the traditional, outdated barriers between areas, exploring in particular the interplay between algebra and geometry. Two appendices form Part 5: the Greek etymology of frequent terms and a list of mathematicians mentioned in the book. Abundant examples and exercises are disseminated along the text to boost the learning process and allow for independent work. Students will find invaluable material to shepherd them through the first years of an undergraduate course, or to complement previously learnt subject matters. Teachers may pick’n’mix the contents for planning lecture courses or supplementing their classes.


Handbook of Mathematical Geosciences

Handbook of Mathematical Geosciences

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  • Author: B.S. Daya Sagar
  • Publisher: Springer
  • ISBN: 3319789996
  • Category : Science
  • Languages : en
  • Pages : 914

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.