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- catalog abstract "The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters are aimed at an Upper Division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia, Spain.".
- catalog contributor b12169917.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description "Includes bibliographical references (p. 469) and index.".
- catalog description "The Complex Plane and Elementary Functions -- Analytic Functions -- Line Integrals and Harmonic Functions -- Complex Integration and Analyticity -- Power Series -- Laurent Series and Isolated Singularities -- The Residue Calculus -- The Logarithmic Integral -- The Schwarz Lemma and Hyperbolic Geometry -- Harmonic Functions and the Reflection Principle -- Conformal Mapping -- Compact Families of Meromorphic Functions -- Approximation Theorems -- Some Special Functions -- The Dirichlet Problem -- Riemann Surfaces.".
- catalog description "The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters are aimed at an Upper Division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia, Spain.".
- catalog extent "xviii, 478 p. :".
- catalog identifier "0387950699 (softcover : alk. paper)".
- catalog identifier "0387950931 (alk. paper)".
- catalog isPartOf "Undergraduate texts in mathematics".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515 21".
- catalog subject "Functions of complex variables.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematical analysis.".
- catalog subject "Mathematics.".
- catalog subject "QA300 .G25 2001".
- catalog tableOfContents "The Complex Plane and Elementary Functions -- Analytic Functions -- Line Integrals and Harmonic Functions -- Complex Integration and Analyticity -- Power Series -- Laurent Series and Isolated Singularities -- The Residue Calculus -- The Logarithmic Integral -- The Schwarz Lemma and Hyperbolic Geometry -- Harmonic Functions and the Reflection Principle -- Conformal Mapping -- Compact Families of Meromorphic Functions -- Approximation Theorems -- Some Special Functions -- The Dirichlet Problem -- Riemann Surfaces.".
- catalog title "Complex analysis / Theodore W. Gamelin.".
- catalog type "text".