“This classic is quite readable and opens a deeper understanding of this field also through self-study without any special prerequisites …” — H. Rindler, Wien, in Monatshefte für Mathematik, Vol. 149, No. 4, 2006

• Basic Concepts and Results. General Propositions about the Intrinsic Metric. Characteristic Properties of the Intrinsic Metric. Angle. Curvature. Existence of a Convex Polyhedron with a Given Metric. Existence of a Closed Convex Surface with a Given Metric. Other Existence Theorems. Curves on Convex Surfaces. Area. The Role of the Specific Curvature. Generalization. Appendix. Basic Facts of Convex Bodies.

“This classic is quite readable and opens a deeper understanding of this field also through self-study without any special prerequisites …” — H. Rindler, Wien, in Monatshefte für Mathematik, Vol. 149, No. 4, 2006

• Basic Concepts and Results. General Propositions about the Intrinsic Metric. Characteristic Properties of the Intrinsic Metric. Angle. Curvature. Existence of a Convex Polyhedron with a Given Metric. Existence of a Closed Convex Surface with a Given Metric. Other Existence Theorems. Curves on Convex Surfaces. Area. The Role of the Specific Curvature. Generalization. Appendix. Basic Facts of Convex Bodies.

“This classic is quite readable and opens a deeper understanding of this field also through self-study without any special prerequisites …” — H. Rindler, Wien, in Monatshefte für Mathematik, Vol. 149, No. 4, 2006

• Basic Concepts and Results. General Propositions about the Intrinsic Metric. Characteristic Properties of the Intrinsic Metric. Angle. Curvature. Existence of a Convex Polyhedron with a Given Metric. Existence of a Closed Convex Surface with a Given Metric. Other Existence Theorems. Curves on Convex Surfaces. Area. The Role of the Specific Curvature. Generalization. Appendix. Basic Facts of Convex Bodies.