Preface.
Chapter 1: Geometry in Regions of a Space. Basic Concepts.
Chapter 2: The Theory of Surfaces.
Chapter 3: Tensors: The Algebraic Theory.
Chapter 4: The Differential Calculus of Tensors.
Chapter 5: The Elements of the Calculus of Variations.
Chapter 6: The Calculus of Variations in Several Dimensions. Fields and Their Geometric Invariants.
Bibliography.
