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Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]]
| Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]] |
| Autore | Newman William I. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (xii, 182 pages) : digital, PDF file(s) |
| Disciplina | 531 |
| Soggetto topico |
Continuum mechanics
Geophysics - Mathematics Planetary theory - Mathematics Geology - Mathematics |
| ISBN |
1-107-08481-4
1-107-22440-3 1-280-39347-5 9786613571397 1-139-33727-0 1-139-33972-9 0-511-98012-4 1-139-34130-8 1-139-33640-1 1-139-33814-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; CONTINUUM MECHANICS IN THE EARTH SCIENCES; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; 1 Some mathematical essentials; 1.1 Scalars, vectors, and Cartesian tensors; 1.2 Matrices and determinants; 1.3 Transformations of Cartesian tensors; 1.4 Eigenvalues and eigenvectors; 1.5 Simplified approach to rotation; 1.6 Curvature, torsion, and kinematics; Exercises; 2 Stress principles; 2.1 Body and surface forces; 2.2 Cauchy stress principle; 2.3 Stress tensor; 2.4 Symmetry and transformation laws; 2.5 Principal stresses and directions
2.6 Solving the cubic eigenvalue equation problem2.7 Maximum and minimum stress values; 2.8 Mohr's circles; Exercises; 3 Deformation and motion; 3.1 Coordinates and deformation; 3.2 Strain tensor; 3.3 Linearized deformation theory; 3.4 Stretch ratios; 3.5 Velocity gradient; 3.6 Vorticity and material derivative; Exercises; 4 Fundamental laws and equations; 4.1 Terminology and material derivatives; 4.2 Conservation of mass and the continuity equation; 4.3 Linear momentum and the equations of motion; 4.4 Piola-Kirchhoff stress tensor; 4.5 Angular momentum principle 4.6 Conservation of energy and the energy equation4.7 Constitutive equations; 4.8 Thermodynamic considerations; Exercises; 5 Linear elastic solids; 5.1 Elasticity, Hooke's law, and free energy; 5.2 Homogeneous deformations; 5.3 Role of temperature; 5.4 Elastic waves for isotropic bodies; 5.5 Helmholtz's decomposition theorem; 5.6 Statics for isotropic bodies; 5.7 Microscopic structure and dislocations; Exercises; 6 Classical fluids; 6.1 Stokesian and Newtonian fluids: Navier-Stokes equations; 6.2 Some special fluids and flows; Exercises; 7 Geophysical fluid dynamics 7.1 Dimensional analysis and dimensionless form7.2 Dimensionless numbers; Exercises; 8 Computation in continuum mechanics; 8.1 Review of partial differential equations; 8.2 Survey of numerical methods; 9 Nonlinearity in the Earth; 9.1 Friction; 9.2 Fracture; 9.3 Percolation and self-organized criticality; 9.4 Fractals; References; Index |
| Record Nr. | UNINA-9910461587403321 |
Newman William I.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]]
| Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]] |
| Autore | Newman William I. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (xii, 182 pages) : digital, PDF file(s) |
| Disciplina | 531 |
| Soggetto topico |
Continuum mechanics
Geophysics - Mathematics Planetary theory - Mathematics Geology - Mathematics |
| ISBN |
1-107-08481-4
1-107-22440-3 1-280-39347-5 9786613571397 1-139-33727-0 1-139-33972-9 0-511-98012-4 1-139-34130-8 1-139-33640-1 1-139-33814-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; CONTINUUM MECHANICS IN THE EARTH SCIENCES; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; 1 Some mathematical essentials; 1.1 Scalars, vectors, and Cartesian tensors; 1.2 Matrices and determinants; 1.3 Transformations of Cartesian tensors; 1.4 Eigenvalues and eigenvectors; 1.5 Simplified approach to rotation; 1.6 Curvature, torsion, and kinematics; Exercises; 2 Stress principles; 2.1 Body and surface forces; 2.2 Cauchy stress principle; 2.3 Stress tensor; 2.4 Symmetry and transformation laws; 2.5 Principal stresses and directions
2.6 Solving the cubic eigenvalue equation problem2.7 Maximum and minimum stress values; 2.8 Mohr's circles; Exercises; 3 Deformation and motion; 3.1 Coordinates and deformation; 3.2 Strain tensor; 3.3 Linearized deformation theory; 3.4 Stretch ratios; 3.5 Velocity gradient; 3.6 Vorticity and material derivative; Exercises; 4 Fundamental laws and equations; 4.1 Terminology and material derivatives; 4.2 Conservation of mass and the continuity equation; 4.3 Linear momentum and the equations of motion; 4.4 Piola-Kirchhoff stress tensor; 4.5 Angular momentum principle 4.6 Conservation of energy and the energy equation4.7 Constitutive equations; 4.8 Thermodynamic considerations; Exercises; 5 Linear elastic solids; 5.1 Elasticity, Hooke's law, and free energy; 5.2 Homogeneous deformations; 5.3 Role of temperature; 5.4 Elastic waves for isotropic bodies; 5.5 Helmholtz's decomposition theorem; 5.6 Statics for isotropic bodies; 5.7 Microscopic structure and dislocations; Exercises; 6 Classical fluids; 6.1 Stokesian and Newtonian fluids: Navier-Stokes equations; 6.2 Some special fluids and flows; Exercises; 7 Geophysical fluid dynamics 7.1 Dimensional analysis and dimensionless form7.2 Dimensionless numbers; Exercises; 8 Computation in continuum mechanics; 8.1 Review of partial differential equations; 8.2 Survey of numerical methods; 9 Nonlinearity in the Earth; 9.1 Friction; 9.2 Fracture; 9.3 Percolation and self-organized criticality; 9.4 Fractals; References; Index |
| Record Nr. | UNINA-9910790281003321 |
|
Newman William I.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]]
| Continuum mechanics in the earth sciences / / William I. Newman [[electronic resource]] |
| Autore | Newman William I. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (xii, 182 pages) : digital, PDF file(s) |
| Disciplina | 531 |
| Soggetto topico |
Continuum mechanics
Geophysics - Mathematics Planetary theory - Mathematics Geology - Mathematics |
| ISBN |
1-107-08481-4
1-107-22440-3 1-280-39347-5 9786613571397 1-139-33727-0 1-139-33972-9 0-511-98012-4 1-139-34130-8 1-139-33640-1 1-139-33814-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; CONTINUUM MECHANICS IN THE EARTH SCIENCES; Title; Copyright; Dedication; Contents; Preface; Acknowledgements; 1 Some mathematical essentials; 1.1 Scalars, vectors, and Cartesian tensors; 1.2 Matrices and determinants; 1.3 Transformations of Cartesian tensors; 1.4 Eigenvalues and eigenvectors; 1.5 Simplified approach to rotation; 1.6 Curvature, torsion, and kinematics; Exercises; 2 Stress principles; 2.1 Body and surface forces; 2.2 Cauchy stress principle; 2.3 Stress tensor; 2.4 Symmetry and transformation laws; 2.5 Principal stresses and directions
2.6 Solving the cubic eigenvalue equation problem2.7 Maximum and minimum stress values; 2.8 Mohr's circles; Exercises; 3 Deformation and motion; 3.1 Coordinates and deformation; 3.2 Strain tensor; 3.3 Linearized deformation theory; 3.4 Stretch ratios; 3.5 Velocity gradient; 3.6 Vorticity and material derivative; Exercises; 4 Fundamental laws and equations; 4.1 Terminology and material derivatives; 4.2 Conservation of mass and the continuity equation; 4.3 Linear momentum and the equations of motion; 4.4 Piola-Kirchhoff stress tensor; 4.5 Angular momentum principle 4.6 Conservation of energy and the energy equation4.7 Constitutive equations; 4.8 Thermodynamic considerations; Exercises; 5 Linear elastic solids; 5.1 Elasticity, Hooke's law, and free energy; 5.2 Homogeneous deformations; 5.3 Role of temperature; 5.4 Elastic waves for isotropic bodies; 5.5 Helmholtz's decomposition theorem; 5.6 Statics for isotropic bodies; 5.7 Microscopic structure and dislocations; Exercises; 6 Classical fluids; 6.1 Stokesian and Newtonian fluids: Navier-Stokes equations; 6.2 Some special fluids and flows; Exercises; 7 Geophysical fluid dynamics 7.1 Dimensional analysis and dimensionless form7.2 Dimensionless numbers; Exercises; 8 Computation in continuum mechanics; 8.1 Review of partial differential equations; 8.2 Survey of numerical methods; 9 Nonlinearity in the Earth; 9.1 Friction; 9.2 Fracture; 9.3 Percolation and self-organized criticality; 9.4 Fractals; References; Index |
| Record Nr. | UNINA-9910826766803321 |
|
Newman William I.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Essential maths for geoscientists : an introduction / / Paul I. Palmer
| Essential maths for geoscientists : an introduction / / Paul I. Palmer |
| Autore | Palmer Paul I. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Chichester, England : , : Wiley-Blackwell, , 2014 |
| Descrizione fisica | 1 online resource (218 p.) |
| Disciplina | 510.24/55 |
| Soggetto topico |
Geology - Mathematics
Mathematics - Study and teaching Ecology - Mathematical models Environmental protectionels - Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-52702-X
1-118-52700-3 0-470-97193-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Essential Maths for Geoscientists; Contents; Preface; 1 How Do You Know that Global Warming Is Not a Hoax?; The Earth system: how do we know what we know?; 2 Preamble; 2.1 The scientific method: pushing back the frontiers of ignorance; 2.2 Subscript and superscripts; 2.3 Scientific number format; 2.4 Significant figures and rounding numbers; 2.5 Units and dimensions; Unit conversion; 2.6 Symbols and numbers; 2.7 Mean, median and variance: commonly encountered statistics; 2.8 Guesstimation; 2.9 Exercises; 3 Algebra; 3.1 Introduction; 3.2 Evaluating algebraic equations
3.2.1 Preamble: symbols and numbers3.2.2 Powers, roots and bases; 3.3 Simplifying algebraic equations; Removing brackets; 3.4 Factorization; 3.4.1 Factorizing quadratic equations; 3.5 Transposing formulae; 3.6 Word problems; 3.7 Exercises; 4 Solving Equations; 4.1 Solving linear equations; 4.1.1 Graphically; 4.1.2 Analytically; 4.2 Solving simultaneous equations; 4.3 Solving quadratic equations; 4.3.1 Square roots; 4.3.2 Completing the square; 4.4 Exercises; 5 Logarithms and Exponentials; 5.1 Exponentials; 5.2 Logarithms; 5.2.1 Logarithm laws; 5.2.2 Solving exponential equations 5.2.3 Power laws and scaling exponents5.3 Log-normal and log-log plots: when and how to use them; 5.4 Exercises; 6 Uncertainties, Errors, and Statistics; 6.1 Errors; 6.1.1 Important definitions; 6.1.2 Measures of error; 6.2 Combining errors; 6.2.1 Equations with one variable; 6.2.2 Equations with two or more variables; 6.2.3 Linear equations; 6.2.4 Products; 6.2.5 Combining results of different experiments; 6.3 Statistics; 6.3.1 Graphs; 6.3.2 Descriptive statistics; 6.4 Correlations; 6.5 Exercises; 6.5 Exercises; 7 Trigonometry; 7.1 Some geoscience applications of trigonometry 7.2 Anatomy of a triangle7.3 Angles: degrees and radians; 7.4 Calculating angles given a trigonometric ratio; 7.5 Cosine and sine rules for non-right-angled triangles; 7.6 Exercises; 8 Vectors; 8.1 What is a vector?; 8.2 Resolving a vector; 8.3 Vector algebra; 8.3.1 Adding and subtracting vectors; 8.3.2 Multiplying a vector by a scalar; 8.3.3 The resultant of two perpendicular vectors; 8.4 Resolving non-perpendicular vectors; 8.5 Exercises; 9 Calculus 1: Differentiation; 9.1 A graphical interpretation of differentiation; 9.2 A general formula for differentiation 9.3 The derivative of some common functions9.4 Differentiation of the sum and difference of functions; 9.5 Higher derivatives; 9.6 Maxima and minima; 9.7 Exercises; 10 Calculus 2: Integration; 10.1 Introduction; 10.2 Definite integrals; Area under a curve; 10.3 Numerical integration; 10.4 Exercises; 11 Bringing It All Together; A Answers to Problems; A.1 Chapter 2: Preamble; A.2 Chapter 3: Algebra; A.3 Chapter 4: Solving Equations; A.4 Chapter 5: Logarithms and Exponentials; A.5 Chapter 6: Uncertainties, Errors, and Statistics; A.6 Chapter 7: Trigonometry; A.7 Chapter 8: Vectors A.8 Chapter 9: Differentiation |
| Record Nr. | UNINA-9910465188103321 |
|
Palmer Paul I.
|
||
| Chichester, England : , : Wiley-Blackwell, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Essential maths for geoscientists : an introduction / / Paul I. Palmer
| Essential maths for geoscientists : an introduction / / Paul I. Palmer |
| Autore | Palmer Paul I. |
| Pubbl/distr/stampa | Chichester, England : , : Wiley-Blackwell, , 2014 |
| Descrizione fisica | 1 online resource (218 pages) : illustrations |
| Disciplina | 510.24/55 |
| Soggetto topico |
Ecology - Mathematical models
Environmental protectionels - Mathematical models Geology - Mathematics Mathematics - Study and teaching |
| ISBN |
9781118527009
1118527003 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Essential math for geoscientists |
| Record Nr. | UNINA-9910795962403321 |
|
Palmer Paul I.
|
||
| Chichester, England : , : Wiley-Blackwell, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Essential maths for geoscientists : an introduction / / Paul I. Palmer
| Essential maths for geoscientists : an introduction / / Paul I. Palmer |
| Autore | Palmer Paul I. |
| Pubbl/distr/stampa | Chichester, England : , : Wiley-Blackwell, , 2014 |
| Descrizione fisica | 1 online resource (218 pages) : illustrations |
| Disciplina | 510.24/55 |
| Soggetto topico |
Ecology - Mathematical models
Environmental protectionels - Mathematical models Geology - Mathematics Mathematics - Study and teaching |
| ISBN |
9781118527009
1118527003 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Essential math for geoscientists |
| Record Nr. | UNINA-9910822309803321 |
|
Palmer Paul I.
|
||
| Chichester, England : , : Wiley-Blackwell, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fuzzy logic in geology [[electronic resource] /] / edited by Robert V. Demicco and George J. Klir
| Fuzzy logic in geology [[electronic resource] /] / edited by Robert V. Demicco and George J. Klir |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Academic Press, c2004 |
| Descrizione fisica | 1 online resource (374 p.) |
| Disciplina | 550/.1/511313 |
| Altri autori (Persone) |
DemiccoRobert V
KlirGeorge J. <1932-> |
| Soggetto topico |
Geology - Mathematics
Fuzzy logic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-02052-4
9786611020521 0-08-052189-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Fuzzy Logic in Geology; Copyright Page; Contents; Contributors; Foreword; Preface; Glossary of Symbols; Chapter 1. Introduction; Chapter 2. Fuzzy Logic: A Specialized Tutorial; Chapter 3. Fuzzy Logic and Earth Science: An Overview; Chapter 4. Fuzzy Logic in Geological Sciences: A Literature Review; Chapter 5. Applications of Fuzzy Logic to Stratigraphic Modeling; Chapter 6. Fuzzy Logic in Hydrology and Water Resources; Chapter 7. Formal Concept Analysis in Geology; Chapter 8. Fuzzy Logic and Earthquake Research; Chapter 9. Fuzzy Transform: Application to the Reef Growth Problem
Chapter 10. Ancient Sea Level EstimationAcknowledgments; Index; Color Plates Section |
| Record Nr. | UNINA-9910458141303321 |
| Amsterdam ; ; Boston, : Elsevier Academic Press, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fuzzy logic in geology [[electronic resource] /] / edited by Robert V. Demicco and George J. Klir
| Fuzzy logic in geology [[electronic resource] /] / edited by Robert V. Demicco and George J. Klir |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Academic Press, c2004 |
| Descrizione fisica | 1 online resource (374 p.) |
| Disciplina | 550/.1/511313 |
| Altri autori (Persone) |
DemiccoRobert V
KlirGeorge J. <1932-> |
| Soggetto topico |
Geology - Mathematics
Fuzzy logic |
| ISBN |
1-281-02052-4
9786611020521 0-08-052189-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Fuzzy Logic in Geology; Copyright Page; Contents; Contributors; Foreword; Preface; Glossary of Symbols; Chapter 1. Introduction; Chapter 2. Fuzzy Logic: A Specialized Tutorial; Chapter 3. Fuzzy Logic and Earth Science: An Overview; Chapter 4. Fuzzy Logic in Geological Sciences: A Literature Review; Chapter 5. Applications of Fuzzy Logic to Stratigraphic Modeling; Chapter 6. Fuzzy Logic in Hydrology and Water Resources; Chapter 7. Formal Concept Analysis in Geology; Chapter 8. Fuzzy Logic and Earthquake Research; Chapter 9. Fuzzy Transform: Application to the Reef Growth Problem
Chapter 10. Ancient Sea Level EstimationAcknowledgments; Index; Color Plates Section |
| Record Nr. | UNINA-9910784570403321 |
| Amsterdam ; ; Boston, : Elsevier Academic Press, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fuzzy logic in geology / / edited by Robert V. Demicco and George J. Klir
| Fuzzy logic in geology / / edited by Robert V. Demicco and George J. Klir |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Academic Press, c2004 |
| Descrizione fisica | 1 online resource (374 p.) |
| Disciplina |
550/.1/511313
551.01511313 |
| Altri autori (Persone) |
DemiccoRobert V
KlirGeorge J. <1932-> |
| Soggetto topico |
Geology - Mathematics
Fuzzy logic |
| ISBN |
1-281-02052-4
9786611020521 0-08-052189-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Fuzzy Logic in Geology; Copyright Page; Contents; Contributors; Foreword; Preface; Glossary of Symbols; Chapter 1. Introduction; Chapter 2. Fuzzy Logic: A Specialized Tutorial; Chapter 3. Fuzzy Logic and Earth Science: An Overview; Chapter 4. Fuzzy Logic in Geological Sciences: A Literature Review; Chapter 5. Applications of Fuzzy Logic to Stratigraphic Modeling; Chapter 6. Fuzzy Logic in Hydrology and Water Resources; Chapter 7. Formal Concept Analysis in Geology; Chapter 8. Fuzzy Logic and Earthquake Research; Chapter 9. Fuzzy Transform: Application to the Reef Growth Problem
Chapter 10. Ancient Sea Level EstimationAcknowledgments; Index; Color Plates Section |
| Record Nr. | UNINA-9910808934703321 |
| Amsterdam ; ; Boston, : Elsevier Academic Press, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
GEM : international journal on geomathematics
| GEM : international journal on geomathematics |
| Pubbl/distr/stampa | Berlin, : Springer |
| Descrizione fisica | 1 online resource |
| Soggetto topico | Geology - Mathematics |
| Soggetto genere / forma | Periodicals. |
| Soggetto non controllato | Geology - General |
| ISSN | 1869-2680 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
International journal on geomathematics
Int J Geomath |
| Record Nr. | UNINA-9910307939603321 |
| Berlin, : Springer | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
