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Conformal mapping --- Harmonic functions --- Series

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Laurent series --- Cauchy integral --- Power series --- Conformal mapping

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Complex variables(Functions of) --- Cauchy integral --- Integral(Double-) --- Trigonometric series --- Elliptic functions --- Conformal mapping --- Holomorphic functions --- Functions theory --- Series --- Lebesgue integral --- Riemann integrals --- Continuous functions

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517.5 --- #WWIS:d.d. Prof. L. Bouckaert/ALTO --- Theory of functions --- 517.5 Theory of functions --- #WWIS:ANAL --- Functions of complex variables --- 517.54 --- 517.54 Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Complex variables --- Elliptic functions --- Functions of real variables --- Complex analysis --- Functions of complex variables.

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Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.

Conformal invariants. --- Quantum field theory. --- Invariants conformes --- Théorie quantique des champs --- Quantum field theory --- Conformal invariants --- 530.19 --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Conformal invariance --- Invariants, Conformal --- Conformal mapping --- Functions of complex variables --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Théorie quantique des champs --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc --- Mathematical physics. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics --- Mathematics