A Panorama of Hungarian Mathematics in the Twentieth Century I

  • János Horváth

Part of the Bolyai Society Mathematical Studies book series (BSMS, volume 14)

Table of contents

  1. Front Matter
    Pages 1-8
  2. Topology

    1. Mátyás Bognár, Ákos Császár
      Pages 9-25
  3. Constructive Function Theory

    1. Front Matter
      Pages 27-27
    2. József Szabados
      Pages 55-70
    3. Tamás Erdélyi
      Pages 119-156
  4. Harmonic Analysis

    1. Front Matter
      Pages 157-157
    2. Jean-Pierre Kahane
      Pages 159-192
    3. Jonathan Rosenberg
      Pages 193-209
    4. János Horváth
      Pages 295-371
    5. Stuart S. Antman
      Pages 373-382
  5. Geometry

    1. Front Matter
      Pages 383-383
    2. Lajos Tamássy
      Pages 385-413
    3. Imre Bárány
      Pages 427-454
  6. Stochastics

    1. Front Matter
      Pages 455-455
    2. Pál Révész
      Pages 457-489

About this book

Introduction

A glorious period of Hungarian mathematics started in 1900 when Lipót Fejér discovered the summability of Fourier series.This was followed by the discoveries of his disciples in Fourier analysis and in the theory of analytic functions. At the same time Frederic (Frigyes) Riesz created functional analysis and Alfred Haar gave the first example of wavelets. Later the topics investigated by Hungarian mathematicians broadened considerably, and included topology, operator theory, differential equations, probability, etc. The present volume, the first of two, presents some of the most remarkable results achieved in the twentieth century by Hungarians in analysis, geometry and stochastics.

The book is accessible to anyone with a minimum knowledge of mathematics. It is supplemented with an essay on the history of Hungary in the twentieth century and biographies of those mathematicians who are no longer active. A list of all persons referred to in the chapters concludes the volume.

Keywords

Analysis Fourier series Geometry History of Mathematics Hungarian Mathematics Minimum Stochastics calculus differential equation extrema functional analysis operator theory orthogonal polynomials statistics

Editors and affiliations

  • János Horváth
    • 1
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-30721-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-28945-6
  • Online ISBN 978-3-540-30721-1
  • Series Print ISSN 1217-4696
  • About this book