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Dirichlet - A Mathematical Biography (Hardcover, 1st ed. 2018)
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Dirichlet - A Mathematical Biography (Hardcover, 1st ed. 2018)
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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 not only to mathematicians but also
to historians of mathematics and sciences, and readers interested
in the cultural and intellectual history of the nineteenth century.
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