This introduction to the field features proofs and motivation, gives examples and exercises at various levels of difficulty to illustrate the concepts, details uniform approximation and elliptic functions, and provides ordinary linear homogeneous differential equations of the second order and conformal mapping. Diagrams are provided whenever feasible to help develop the ability to visualize abstract ideas. The solutions to selected exercises provide ideas and theoretical considerations.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Editions-Typ
Illustrationen
Maße
Höhe: 246 mm
Breite: 166 mm
Dicke: 23 mm
Gewicht
ISBN-13
978-0-470-22116-7 (9780470221167)
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Schweitzer Klassifikation
Sets, Functions and Complex Numbers; Metric Spaces; Elementary Properties of Analytic Functions; Line Integral and Cauchy's Theorem; Applications of Cauchy's Theorem; Power Series; Laurent Series, Singularities; Residue Theorem and Its Applications; Conformal Mapping; Harmonic Functions; Weierstrass Factorization Theorem; Extension of the Maximum Modulus Principle; Elliptic Functions; Analytic Continuation, Differential Equations; Approximation by Rational Functions and Polynomials.