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Mathematical Modelling for Earth Sciences 🔍
Xin-She Yang; ProQuest (Firm) Dunedin Academic Press Ltd., Liverpool University Press / Books, Edinburgh, 2009
English [en] · PDF · 2.6MB · 2009 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save
description
Mathematical modelling and computer simulations are an essential part of the analytical toolset used by earth scientists. Computer simulations based on mathematical models are routinely used to study geophysical, environmental, and geological processes in many areas of work and research from geophysics to petroleum engineering and from hydrology to environmental fluid dynamics. Author Xin-She Yang has carefully selected the topics which will be of most value to students. Dr. Yang has recognized the need to be careful in his examples while being comprehensive enough to include important topics and popular algorithms. The book is designed to be 'theorem-free' while balancing formality and practicality. Using worked examples and tackling each problem in a step-by-step manner, the text is especially suitable for more advanced students of this aspect of earth sciences. The coverage and level, for instance in the calculus of variation and pattern formation, will be of interest to mathematicians. Topics covered include: vector and matrix analysis • ordinary differential equations • partial differential equations • calculus of variations • integral equations • probability • geostatistics • numerical integration • optimization • finite difference methods • finite volume methods • finite element methods • reaction-diffusion system • elasticity • fracture mechanics • poroelasticity • flows in porous media.
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lgli/_525584.13341aaec9c9a058233eeb670366ff25.pdf
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lgrsnf/_525584.13341aaec9c9a058233eeb670366ff25.pdf
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zlib/Mathematics/Xin-She Yang/Mathematical Modelling for Earth Sciences_1253267.pdf
Alternative title
Mathematics for civil engineers : an introduction
Alternative title
Introductory Mathematics for Earth Scientists
Alternative author
Yang, Xin-She
Alternative author
Xin-She Yamg
Alternative publisher
Dunedin Academic Press ISBS Publisher Services [distributor
Alternative publisher
Liverpool University Press
Alternative edition
Liverpool University Press / Books, Edinburgh, 2008
Alternative edition
New edition, Edinburgh, Portland, Jan. 2018
Alternative edition
United Kingdom and Ireland, United Kingdom
Alternative edition
First Edition,New edition, 2017-11-16
Alternative edition
Edinburgh ; London, 2018
Alternative edition
Illustrated, PT, 2008
Alternative edition
Illustrated, PT, 2009
Alternative edition
Edinburgh, c2009
Alternative edition
April 17, 2008
Alternative edition
S.l, 2018
metadata comments
lg815451
metadata comments
{"edition":"repr","isbns":["1780460848","1780465777","1780465785","1903765927","1906716005","9781780460840","9781780465777","9781780465784","9781903765920","9781906716004"],"last_page":310,"publisher":"Dunedin Acad. Press"}
Alternative description
Mathematics for Civil Engineers provides a concise introduction to the fundamental concepts of mathematics that are closely related to civil engineering. By using an informal and theorem-free approach with more than 150 step-by-step examples, all the key mathematical concepts and techniques are introduced. Thus users of this textbook will gain the basic knowledge and understanding required for their work. Exercises are included In each chapter to give readers the opportunity to apply their new knowledge; the answers to these dozens of exercises are provided at the end of the book. Topics include functions, trigonometrical functions, equations, polynomials, vectors and matrices, eigenvalues and eigenvectors, tensors, differentiation, integration, advanced calculus such as double integrals and special integrals, complex numbers, differential equations, Fourier series and transforms, Laplace transforms, probability and statistics, curve-fitting and linear regression. Advanced topics include partial differential equations and integral equations, root-finding algorithms for nonlinear equations, numerical methods for solving differential equations, optimization and nonlinear optimization. Mathematics for Civil Engineers allows undergraduates and civil engineers to develop a necessary, essential, knowledge of engineering mathematics. Many of the worked examples are chosen to reflect situations and problems in civil engineering practise. Examples include moment of inertia, second moment of area, beam buckling, harmonic motion and forced harmonic motion, elasticity, transfer function, waves and heat transfer, maximization and minimization and many others. All these topics and examples will help readers to gain more insight and to build sufficient confidence in applying engineering mathematics for problem solving in real engineering situations. This book may also be useful for practitioners in other engineering disciplines to improve their basic mathematical skills.
Alternative description
Any quantitative work in earth sciences requires mathematical analysis to a certain degree and many mathematical methods are essential to the modelling and analysis of the geological, geophysical and environmental processes widely studied in earth sciences. In this book Dr Yang provides an introduction to the fundamental mathematics that all earth scientists need. The book is self-contained and provides an essential toolkit of basic mathematics for earth scientists assuming no more than a standard secondary school level maths as its starting point. The topics of earth sciences are vast and multidisciplinary, and consequently the mathematical tools required by its students are diverse and complex. Thus the author 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 yet widely-used mathematical methods. It is designed for use by undergraduate students, though postgraduate students will also find it a helpful reference and aide memoire.
Alternative description
Mathematical modelling and computer simulations are an essential part of the analytical toolset used by earth scientists. Computer simulations based on mathematical models are routinely used to study geophysical, environmental and geological processes in many areas of work and research from geophysics to petroleum engineering and from hydrology to environmental fluid dynamics. Dr Yang has carefully selected topics which will be of most value to students and has recognised the need to be careful in his examples whilst being comprehensive enough to include important topics and popular algorithms. The book is designed to be theorem-free and yet to balance formality and practicality. Using worked examples and tackling each problem in a step-by-step manner the text is especially suitable for non-mathematicians approaching this aspect of earth sciences for the first time, The coverage and level, for instance in the calculus of variation and pattern formation, that even mathematicians will find the examples interesting. Topics covered include: vector and matrix analysis ordinary differential equations partial differential equations calculus of variations integral equations probability geostatistics numerical integration optimisation finite difference methods finite volume methods finite element methods reaction-diffusion system elasticity fracture mechanics poroelasticity, and flows in porous media. Mathematical Modelling for Earth Sciences introduces a wide range of mathematical modelling and numerical techniques, and is written for undergraduates and graduate students
Alternative description
Dr Yang Has Carefully Selected Topics Which Will Be Of Most Value To Students And Has Recognised The Need To Be Careful In His Examples Whilst Being Comprehensive Enough To Include Important Topics And Popular Algorithms. The Book Is Designed To Be 'theorem-free' And Yet To Balance Formality And Practicality. Using Worked Examples And Tackling Each Problem In A Step-by-step Manner The Text Is Especially Suitable For Non-mathematicians Approaching This Aspect Of Earth Sciences For The First Time. The Coverage And Level, For Instance In The Calculus Of Variation And Pattern Formation, That Even Mathematicians Will Find The Examples Interesting. Mathematical Modelling For Earth Sciences Introduces A Wide Range Of Mathematical Modelling And Numerical Techniques, And Is Written For Undergraduates And Graduate Students.--book Jacket. Mathematical Modelling -- Calculus And Complex Variables -- Vectors And Matrices -- Odes And Integral Transforms -- Pdes And Solution Techniques -- Calculus Of Variations -- Probability -- Geostatistics -- Numerical Integration -- Finite Difference Method -- Finite Volume Method -- Finite Element Method -- Reaction-diffusion System -- Elasticity And Poroelasticity -- Flow In Porous Media. Xin-she Yang. Includes Bibliography (p. 303-306) And Index.
Alternative description
Contents......Page 4
Preface......Page 10
Mathematical Methods......Page 12
Mathematical Modelling......Page 14
Calculus and Complex Variables......Page 34
Vectors and Matrices......Page 56
ODEs and Integral Transforms......Page 72
PDEs and Solution Techniques......Page 90
Calculus of Variations......Page 102
Probability......Page 120
Geostatistics......Page 142
Numerical Algorithms......Page 170
Numerical Integration......Page 172
Finite Difference Method......Page 196
Finite Volume Method......Page 206
Finite Element Method......Page 212
Applications to Earth Sciences......Page 236
Reaction-Diffusion System......Page 238
Elasticity and Poroelasticity......Page 246
Flow in Porous Media......Page 274
Mathematical Formulae......Page 302
Matlab and Octave Programs......Page 306
Bibliography......Page 314
Index......Page 318
Alternative description
1. Preliminary Mathematics I -- 2. Preliminary Mathematics Ii -- 3. Binomial Theorem And Sequences -- 4. Trigonometry And Spherical Trigonometry -- 5. Complex Numbers -- 6. Differentiation -- 7. Integration -- 8. Fourier Transforms -- 9. Vectors -- 10. Matrix Algebra -- 11. Ordinary Differential Equations -- 12. Partial Differential Equations -- 13. Geostatistics -- 14. Numerical Methods -- A. Glossary -- B. Mathematical Formulae. Xin-she Yang. Includes Bibliographical References (p. 207-210) And Index.
Alternative description
Mathematical modelling and computer simulations are an essential part of the analytical toolset used by earth scientists. In this textbook, designed for use by mathematicians and non-mathematicians encountering the application of mathematics to the earth sciences for the first time, Dr Yang has carefully selected topics which will be of most value to students. The book is designed to be 'theorem-free' and whilst balancing formality and practicality
Alternative description
Civil Engineers Use Mathematics As Part Of Their Daily Routine. In This Introductory Book Dr Yang Provides Methods For Practical Application As Well As An Introductory Text For Undergraduate Students.
date open sourced
2012-03-09
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