Ideas and Their Reception

Table of Contents for Volume II

Contributors List

Preface

The Context of Reception

A Theory of Reception for the History of Mathematics

Riemann's Habilitationsvortrag and the Synthetic A Priori Status of Geometry

Foundations of Mathematics

Cantor's Views on the Foundations of Mathematics

Kronecker's Views on the Foundations of Mathematics

Toward a History of Cantor's Continuum Problem

National Styles in Algebra

British Synthetic vs. French Analytic Styles of Algebra in the Early American Republic

Toward a History of Nineteenth-Century Invariant Theory

Geometry and the Emergence of Transformation Groups

The Early Geometrical Works of Sophus Lie and Felix Klein

Line Geometry, Differential Equations, and the Birth of Lie's Theory of Groups

Projective and Algebraic Geometry

The Background to Gergonne's Treatment of Duality: Spherical Trigonometry in the Late 18th Century

Algebraic Geometry in the Late Nineteenth Century

Abel's Theorem

Abel's Theorem

Number Theory

Heinrich Weber and the Emergence of Class Field Theory

Notes on the Contributors