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  • © 2006

A Panorama of Hungarian Mathematics in the Twentieth Century, I

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

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Table of contents (21 chapters)

  1. Front Matter

    Pages 1-8
  2. Topology

    1. Topology

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

    1. Front Matter

      Pages 27-27
    2. Orthogonal Polynomials

      • József Szabados
      Pages 55-70
    3. Extremal Properties of Polynomials

      • Tamás Erdélyi
      Pages 119-156
  4. Harmonic Analysis

    1. Front Matter

      Pages 157-157
    2. Commutative Harmonic Analysis

      • Jean-Pierre Kahane
      Pages 159-192
    3. Non-Commutative Harmonic Analysis

      • Jonathan Rosenberg
      Pages 193-209
    4. Holomorphic Functions

      • János Horváth
      Pages 295-371
    5. Theodore von Kármán

      • Stuart S. Antman
      Pages 373-382
  5. Geometry

    1. Front Matter

      Pages 383-383
    2. Differential geometry

      • Lajos Tamássy
      Pages 385-413
    3. Discrete and Convex Geometry

      • Imre Bárány
      Pages 427-454
  6. Stochastics

    1. Front Matter

      Pages 455-455
    2. Probability theory

      • Pál Révész
      Pages 457-489

About this book

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with an essay on the history of Hungary in the twentieth century and biographies of those mathematicians who are no longer active.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.

Reviews

From the reviews:

"This highly interesting book is more than a report on a glorious period of Hungarian mathematics. It is a survey of twentieth century mathematics describing the development of the fields covered in the book in a broad context. … Readers will surely appreciate brief biographies of 145 Hungarian mathematicians. The book is a valuable contribution to the history of 20th century mathematics. I can recommend it not only to historians of mathematics but to working mathematicians as well." (EMS Newsletter, March, 2007)

Editors and Affiliations

  • Department of Mathematics, University of Maryland, College Park, USA

    János Horváth

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access