A First Course in Complex Analysis
Willms, Allan R. 1968-
A First Course in Complex Analysis by Allan R. Willms - 1st edition 2022 - 1 recurso en línea (IV, 237 páginas) - Synthesis Lectures on Mathematics & Statistics 1938-1751 .
Preface -- Acknowledgments -- Basics of Complex Numbers -- Functions of a Complex Variable -- Differentiation -- Contour Integration -- Cauchy Theory -- Series -- Residues -- Conformal Mapping -- Author's Biography -- Index.
This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.
9783031791765
10.1007/978-3-031-79176-5 doi
Funciones de variable compleja
QA331 / 2022 EB
A First Course in Complex Analysis by Allan R. Willms - 1st edition 2022 - 1 recurso en línea (IV, 237 páginas) - Synthesis Lectures on Mathematics & Statistics 1938-1751 .
Preface -- Acknowledgments -- Basics of Complex Numbers -- Functions of a Complex Variable -- Differentiation -- Contour Integration -- Cauchy Theory -- Series -- Residues -- Conformal Mapping -- Author's Biography -- Index.
This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.
9783031791765
10.1007/978-3-031-79176-5 doi
Funciones de variable compleja
QA331 / 2022 EB