The Foundations of Analysis

The Foundations of Analysis: This is a detailed introduction to the real number system from a categorical perspective. We begin with the categorical definition of the natural numbers, review the Eudoxus theory of ratios, and then define the positive real numbers categorically.

Mathematical Models in Portfolio Analysis

Mathematical Models in Portfolio Analysis: This book explains portfolio modelling in financial mathematics as a consistent mathematical theory with all steps justified. Topics include mean-variance portfolio analysis and capital market theory. The book contains many examples with solutions.