Introduction to Functions of a Complex Variable Chapman & Hall/CRC Pure and Applied Mathematics Series
Langue : Anglais
Auteur : Curtiss J. H.
This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introductory course in complex analysis at the first-year graduate and advanced undergraduate level.
1. The Real and Complex Number Fields 2. Sequences and Series 3. Sequences and Series of Complex-Valued Functions 4. Introduction to Power Series 5. Some Elementary Topological Concepts 6. Complex Differential Calculus 7. The Exponential and Related Functions 8. Complex Line Integrals 9. Introduction to the Cauchy Theory 10. Zeros and Isolated Singularities of Analytic Functions 11. Residues and Rational Functions 12. Approximation of Analytic Functions by Rational Functions, and Generalizations of the Cauchy Theory 13. Conformal Mapping
Professional Practice & Development
Curtiss\, J. H.
Date de parution : 12-2020
15.2x22.9 cm
Thème d’Introduction to Functions of a Complex Variable :
Mots-clés :
Power Series; Metric Space; Open Set; Closed Path; Sum Function; Removable Singularity; Cauchy Property; Cauchy Sequence; Cauchy Criterion; Power Series Representation; Cauchy Product; Nonnegative Real; Compact Nonempty Subset; Rational Function; Initial Point; Cauchy Integral Formula; Polygonal Arc; Laurent Expansion; Topological Index; Usual Metric; Linear Fractional Transformation; Cauchy Riemann Equations; Cauchy Integral Theorem; Riemann Integral; Essential Singularity
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