A Panorama of Hungarian Mathematics in the Twentieth Century, IJanos Horvath Springer Science & Business Media, 28 de juny 2010 - 639 pàgines 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with an essay on the history of Hungary in the twentieth century and biographies of those mathematicians who are no longer active.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. |
Continguts
7 | |
9 | |
26 | |
29 | |
ORTHOGONAL POLYNOMIALS | 55 |
CLASSICAL UNWEIGHTED AND WEIGHTED INTERPOLATION
| 71 |
EXTREMAL PROPERTIES OF POLYNOMIALS | 118 |
Harmonic Analysis | 157 |
DIFFERENTIAL GEOMETRY | 385 |
THE WORKS OF KORNEL LANCZOS ON THE THEORY OF RELATIVITY
| 414 |
DISCRETE AND CONVEX GEOMETRY | 427 |
Stochastics | 455 |
PROBABILITY THEORY | 456 |
MATHEMATICAL STATISTICS | 489 |
INFORMATION THEORY
| 523 |
CONTRIBUTION OF HUNGARIAN MATHEMATICIANS TO GAME THEORY
| 536 |
COMMUTATIVE HARMONIC ANALYSIS | 159 |
NONCOMMUTATIVE HARMONIC ANALYSIS | 193 |
A PANORAMA OF THE HUNGARIAN REAL AND FUNCTIONAL ANALYSIS IN THE 20TH CENTURY
| 211 |
HUNGARY THE EXTENDED FIRST HALF OF THE 20TH CENTURY
| 245 |
HOLOMORPHIC FUNCTIONS | 295 |
THEODORE VON KARMAN | 372 |
Geometry | 383 |
A SHORT GUIDE TO THE HISTORY OF HUNGARY IN THE 20TH CENTURY
| 549 |
EDUCATION AND RESEARCH IN MATHEMATICS | 555 |
BIOGRAPHIES | 563 |
608 | |
623 | |
Altres edicions - Mostra-ho tot
A Panorama of Hungarian Mathematics in the Twentieth Century, I Janos Horvath Previsualització no disponible - 2010 |
A Panorama of Hungarian Mathematics in the Twentieth Century, I Janos Horvath Previsualització no disponible - 2006 |
A Panorama of Hungarian Mathematics in the Twentieth Century, I Janos Horvath Previsualització no disponible - 2013 |