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Titlebook: Dirichlet; A Mathematical Biogr Uta C. Merzbach Book 2018 Springer Nature Switzerland AG 2018 Humboldt.Mendelssohn.Prussia.analysis.number

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书目名称Dirichlet
副标题A Mathematical Biogr
编辑Uta C. Merzbach
视频video
概述Provides a general context for the life of an influential European mathematician who lived in the first half of the nineteenth century.Details the extent to which certain mathematicians of the period
图书封面Titlebook: Dirichlet; A Mathematical Biogr Uta C. Merzbach Book 2018 Springer Nature Switzerland AG 2018 Humboldt.Mendelssohn.Prussia.analysis.number
描述.This is the first extensive biography of the influential German mathematician, Peter Gustav Lejeune Dirichlet (1805 – 1859). Dirichlet made major contributions to number theory in addition to clarifying concepts such as the representation of functions as series, the theory of convergence, and potential theory. His mathematical methodology was explicitly based on a thorough knowledge of the work of his predecessors and his belief in the underlying unity of the branches of mathematics. This unified approach is exemplified in a paper that effectively launched the field of analytic number theory. The same orientation pervaded his teaching, which had a profound influence on the work of many mathematicians of subsequent generations.. .Chapters dealing with his mathematical work alternate with biographical chapters that place Dirichlet’s life and those of some of his notable associates in the context of the political, social, and artistic culture of the period. This book will appeal notonly to mathematicians but also to historians of mathematics and sciences, and readers interested in the cultural and intellectual history of the nineteenth century..
出版日期Book 2018
关键词Humboldt; Mendelssohn; Prussia; analysis; number theory
版次1
doihttps://doi.org/10.1007/978-3-030-01073-7
isbn_ebook978-3-030-01073-7
copyrightSpringer Nature Switzerland AG 2018
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,Publications: 1829–1830,urposes: They were most likely prompted by an attempt to clarify and make more rigorous the concepts to which Dirichlet had had to introduce the students in his lectures. At the same time, they brought to the attention of a wider audience Fourier’s work on analysis and heat theory, as well as the competing approach that Poisson utilized.
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,Publications: Autumn 1832–Spring 1839,ers [Gauss 1832], and the second was the proof of Fermat’s Last Theorem for the case .. These were followed by a total of seventeen publications appearing prior to the summer of 1839, of which twelve related to presentations given to the Akademie.
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Expanding Interactions,s Ordinary Professor Designate, and Humboldt could report to Dirichlet a few days later that Altenstein already had the appointment back from the court. The faculty was informed within a month. The appointment had become effective on May 11.
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Yulei Luo,Jun Nie,Eric R. Youngurposes: They were most likely prompted by an attempt to clarify and make more rigorous the concepts to which Dirichlet had had to introduce the students in his lectures. At the same time, they brought to the attention of a wider audience Fourier’s work on analysis and heat theory, as well as the co
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