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Frontmatter — Preface — Contents — General Scheme of Notations — 1. Introduction — 2. Geometry of Physical Space — 3. Essentials of Non-Linear Elasticity Theory — 4. Geometric Formalization of the Body and Its Representation in Physical Space — 5. Strain Measures — 6. Motion — 7. Stress Measures — 8. Material Uniformity and Inhomogeneity — 9. Material Connections — 10. Balance Equations — 11. The Evolutionary Problem – Examples — 12. Algebraic Structures — 13. Review of Smooth Manifolds and Vector Bundles — 14. Connections on Principal Bundles — Bibliography — Index