| Preface | p. ix |
| Problem solving in structural geology | p. 1 |
| Objectives of structural analysis | p. 1 |
| Orthographic projection and plane trigonometry | p. 3 |
| Solving problems by computation | p. 6 |
| Spherical projections | p. 8 |
| Map projections | p. 18 |
| Coordinate systems, scalars, and vectors | p. 23 |
| Coordinate systems | p. 23 |
| Scalars | p. 25 |
| Vectors | p. 25 |
| Examples of structure problems using vector operations | p. 34 |
| Exercises | p. 43 |
| Transformations of coordinate axes and vectors | p. 44 |
| What are transformations and why are they important? | p. 44 |
| Transformation of axes | p. 45 |
| Transformation of vectors | p. 48 |
| Examples of transformations in structural geology | p. 50 |
| Exercises | p. 65 |
| Matrix operations and indicial notation | p. 66 |
| Introduction | p. 66 |
| Indicial notation | p. 66 |
| Matrix notation and operations | p. 69 |
| Transformations of coordinates and vectors revisited | p. 77 |
| Exercises | p. 79 |
| Tensors | p. 81 |
| What are tensors? | p. 81 |
| Tensor notation and the summation convention | p. 82 |
| Tensor transformations | p. 85 |
| Principal axes and rotation axis of a tensor | p. 88 |
| Example of eigenvalues and eigenvectors in structural geology | p. 91 |
| Exercises | p. 97 |
| Stress | p. 98 |
| Stress "vectors" and stress tensors | p. 98 |
| Cauchy's Law | p. 99 |
| Basic characteristics of stress | p. 104 |
| The deviatoric stress tensor | p. 112 |
| A problem involving stress | p. 113 |
| Exercises | p. 119 |
| Introduction to deformation | p. 120 |
| Introduction | p. 120 |
| Deformation and displacement gradients | p. 121 |
| Displacement and deformation gradients in three dimensions | p. 125 |
| Geological application: GPS transects | p. 128 |
| Exercises | p. 132 |
| Infinitesimal strain | p. 135 |
| Smaller is simpler | p. 135 |
| Infinitesimal strain in three dimensions | p. 138 |
| Tensor shear strain vs. engineering shear strain | p. 140 |
| Strain invariants | p. 141 |
| Strain quadric and strain ellipsoid | p. 142 |
| Mohr circle for infinitesimal strain | p. 143 |
| Example of calculations | p. 144 |
| Geological applications of infinitesimal strain | p. 147 |
| Exercises | p. 164 |
| Finite strain | p. 165 |
| Introduction | p. 165 |
| Derivation of the Lagrangian strain tensor | p. 166 |
| Eulerian finite strain tensor | p. 167 |
| Derivation of the Green deformation tensor | p. 167 |
| Relations between the finite strain and deformation tensors | p. 168 |
| Relations to the deformation gradient, F | p. 169 |
| Practical measures of strain | p. 170 |
| The rotation and stretch tensors | p. 173 |
| Multiple deformations | p. 176 |
| Mohr circle for finite strain | p. 176 |
| Compatibility equations | p. 178 |
| Exercises | p. 180 |
| Progressive strain histories and kinematics | p. 183 |
| Finite versus incremental strain | p. 183 |
| Determination of a strain history | p. 199 |
| Exercises | p. 213 |
| Velocity description of deformation | p. 217 |
| Introduction | p. 217 |
| The continuity equation | p. 218 |
| Pure and simple shear in terms of velocities | p. 219 |
| Geological application: Fault-related folding | p. 220 |
| Exercises | p. 252 |
| Error analysis | p. 254 |
| Introduction | p. 254 |
| Error propagation | p. 255 |
| Geological application: Cross-section balancing | p. 256 |
| Uncertainties in structural data and their representation | p. 266 |
| Geological application: Trishear inverse modeling | p. 270 |
| Exercises | p. 279 |
| References | p. 281 |
| Index | p. 286 |
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