Exterior Differential Calculus and Applications to Economic Theory

During the academic year 1995/96, I was invited by the Scuola Normale Superiore to give a series of lectures. The purpose of these notes is to make the underlying economic problems and the mathematical theory of exterior differential systems accessible to a larger number of people. It is the purpose of these notes to go over these results at a more leisurely pace, keeping in mind that mathematicians are not familiar with economic theory and that very few people have read Elie Cartan.

Radical Constructivism in Mathematics Education

The project's evolution and history, its theoretical and conceptual perspectives, and a discussion of the methodological challenges encountered is presented. Four case studies from four very different project sites are also discussed. The final chapter summarizes what was learned from the case study sites as well as the 13 other sites and concludes with a discussion of the implications of the research

Algorithmic Algebraic Number Theory

This classic book gives a thorough introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. It also provides a comprehensive look at recent research. For experimental number theoreticians, the authors developed new methods and obtained new results of great importance for them.

Statistical Data Analysis

This book is a guide to the practical application of statistics to data analysis in the physical sciences. It is primarily addressed at students and professionals who need to draw quantitative conclusions from experimental data. Although most of the examples are taken from particle physics, the material is presented in a sufficiently general way as to be useful to people from most branches of the physical sciences. 

Supporting Mathematical Development in the Early Years

Review of the first edition include: 'All the major areas of early childhood maths teaching and learning are covered in this powerful book! The book is also full of delightful stories! [It] would be eminently suitable for beginning and trainee teachers but would also be helpful to all those concerned in early years settings.