分析》

IF 0.8 4区数学 Q2 MATHEMATICS Monatshefte fur Mathematik Pub Date : 2013-10-01 DOI:10.14375/NP.9782369430278

É. Picard

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引用次数: 105

摘要

这是一本纯粹的数学著作，这篇分析论文主要讨论了著名的拉普拉斯方程，整个解析函数理论都依赖于它。但埃米尔·皮卡德也讨论了代数函数和阿贝尔积分，黎曼曲面和柯西定理。由于其全面性和相关性，它的研究至今仍是一篇科学参考论文。第一版日期:1891-1896。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Traité d'Analyse

Ouvrage de mathematiques pures, ce Traite d’analyse fait la part belle a l’equation celebre de Laplace, dont depend toute la theorie des fonctions analytiques. Mais Emile Picard y aborde egalement les fonctions algebriques et les integrales abeliennes ou encore les surfaces de Riemann et le theoreme de Cauchy. Par son exhaustivite et sa pertinence, son etude reste aujourd’hui un traite scientifique de reference. Date de premiere edition : 1891-1896.

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来源期刊

Monatshefte fur Mathematik 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

155

审稿时长

4-8 weeks

期刊介绍： The journal was founded in 1890 by G. v. Escherich and E. Weyr as "Monatshefte für Mathematik und Physik" and appeared with this title until 1944. Continued from 1948 on as "Monatshefte für Mathematik", its managing editors were L. Gegenbauer, F. Mertens, W. Wirtinger, H. Hahn, Ph. Furtwängler, J. Radon, K. Mayrhofer, N. Hofreiter, H. Reiter, K. Sigmund, J. Cigler. The journal is devoted to research in mathematics in its broadest sense. Over the years, it has attracted a remarkable cast of authors, ranging from G. Peano, and A. Tauber to P. Erdös and B. L. van der Waerden. The volumes of the Monatshefte contain historical achievements in analysis (L. Bieberbach, H. Hahn, E. Helly, R. Nevanlinna, J. Radon, F. Riesz, W. Wirtinger), topology (K. Menger, K. Kuratowski, L. Vietoris, K. Reidemeister), and number theory (F. Mertens, Ph. Furtwängler, E. Hlawka, E. Landau). It also published landmark contributions by physicists such as M. Planck and W. Heisenberg and by philosophers such as R. Carnap and F. Waismann. In particular, the journal played a seminal role in analyzing the foundations of mathematics (L. E. J. Brouwer, A. Tarski and K. Gödel). The journal publishes research papers of general interest in all areas of mathematics. Surveys of significant developments in the fields of pure and applied mathematics and mathematical physics may be occasionally included.