Part I Introduction 1 Introduction 1.1 GROUP THEORY AND CLASSIFICATION OF MATHEMATICAL STRUCTURE 1.2 LIE GROUPS AND INVARIANCE 1.3 ECONOMIC APPLICATIONS OF LIE GROUPS 2 Technical Progress and Economies of Scale: Concept of Holotheticity 2.1 A REFORMULATION OF THE PROBLEM 2.2 LIE GROUPS 2.3 HOLOTHETICITY 2.4 CONCLUSION 3 Holothetic Production Functions and Marginal...