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Real Analysis and Infinity presents the essential topics for a first course in real analysis with an emphasis on the role of infinity in all of the fundamental concepts.
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The book includes contributions by top researchers offering topics associated with equations and their relevance and significance in various... Læs mere
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The textbook is designed for university students studying science and engineering. I have aimed for a comparatively short book that would... Læs mere
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The Handbook of Complex Analysis will be an entree for advanced undergraduates and beginning graduate students in the subject of complex analysis. The subject of complex... Læs mere
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This volume studies the concepto of Gamma-lines which generalizes the concept of levels of sets and, at the same time, the concept of a-points.... Læs mere
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Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, harmonic measure,... Læs mere
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Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties
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This book introduces the reader to a wide range of topics in the theory of holomorphic functions of several variables, with fairly complete proofs. It reviews the relevant properties of subharmonic functions and discusses the basic properties of plurisubharmonic functions.
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The first part presents the purely algebraic branch of the theory, the second part presents the functional analytic branch, and the third part discusses various... Læs mere
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The Iitaka conjecture for fiber spaces whose base space is of general type is also proved as an easy application of Viehweg's weak positivity theorem, and the Viehweg conjecture for fiber spaces whose general fibers are elliptic curves is explained.
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This 2006 treatment of Jacobi elliptic functions seeks to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the... Læs mere