Ideas and Their Reception

Proceedings of the Symposium on the History of Modern Mathematics, Vassar College, Poughkeepsie, New York, June 20-24, 1989

David E. Rowe, John McCleary

• Publisher: Academic Press
• Year: 2014
• Print ISBN:
  9780125996617
• eBook ISBN:
  9781483266213
• Topic: Mathematik
• Subtopic: Mathematik Allgemein

The History of Modern Mathematics, Volume I: Ideas and their Reception documents the proceedings of the Symposium on the History of Modern Mathematics held at Vassar College in Poughkeepsie, New York on June 20-24, 1989. This book is concerned with the emergence and reception of major ideas in fields that range from foundations and set theory, algebra and invariant theory, and number theory to differential geometry, projective and algebraic geometry, line geometry, and transformation groups. Other topics include the theory of reception for the history of mathematics and British synthetic vs. French analytic styles of algebra in the early American Republic. The early geometrical works of Sophus Lie and Felix Klein, background to Gergonne's treatment of duality, and algebraic geometry in the late 19th century are also elaborated. This volume is intended for students and researchers interested in developments in pure mathematics.

Table of contents

• Front Cover
• Ideas and their Reception
• Copyright Page
• Table of Contents
• Contents for Volume II
• Contributors List
• Preface
• Part I: The Context of Reception
• Part II: Foundations of Mathematics
• Part III: National Styles in Algebra
• Part IV: Geometry and the Emergence Of Transformation Groups
• Part V: Projective and Algebraic Geometry
• Part VI: Abel's Theorem
• Part VII: Number Theory
• Notes on the Contributors