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Histoire des mathematiques --- Histoire des mathematiques --- 19e siecle --- 20e siecle --- Histoire des mathematiques --- Histoire des mathematiques --- 19e siecle --- 20e siecle

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Histoire des mathematiques --- 20e siecle --- Histoire des mathematiques --- 20e siecle

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Hidden Harmony—Geometric Fantasies describes the history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject—Cauchy, Riemann, and Weierstrass—it looks at the contributions of great mathematicians from d’Alembert to Poincaré, and Laplace to Weyl. Select chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been placed on the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. This book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main players lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions. This work is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It is a major resource for professional mathematicians as well as advanced undergraduate and graduate students and anyone studying complex function theory.

Functional analysis. --- Functions of complex variables. --- Functions, Quaternion. --- Number theory. --- Functions of complex variables --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Complex variables --- Mathematics. --- History. --- Functional Analysis. --- History of Mathematical Sciences. --- Functions of a Complex Variable. --- Number Theory. --- Elliptic functions --- Functions of real variables --- Number study --- Numbers, Theory of --- Algebra --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Annals --- Auxiliary sciences of history --- Math --- Science --- Functional analysis --- Number Theory

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