Titolo: Problem Book in the Theory of Functions (Dover Books on Mathematics)
Editore: Dover Publications
Data di pubblicazione: 2000
Lingua: Inglese
ISBN 10: 0486414515
ISBN 13: 9780486414515
Rilegatura: Paperback
Condizione: new

Descrizione articolo

Riassunto

This new single-volume edition combines two parts of a renowned mathematician's collection of instructive problems. Vol. I contains more than 300 elementary problems dealing with fundamental concepts, infinite sequences and series, functions of a complex variable, conformal mapping, and more. Vol. II features over 230 problems in advanced theory &; singularities, entire and meromorphic functions, periodic functions, analytic continuation, multiple-valued functions and Riemann surfaces, and more. Solution hints are provided, plus complete solutions to all problems.

Contenuti

Chapter I. Fundamental Concepts 1. Numbers and Points. Problems; Answers 2. Point Sets. Paths. Regions Chapter II. Infinite Sequences and Series 3. Limits of Sequences. Infinite Series with Constant Terms. Problems; Answers 4. Convergence Properties of Power Series. Problems; Answers Chapter III. Functions of a Complex Variable 5. Limits of Functions. Continuity and Differentiability. Problems; Answers 6. Simple Properties of the Elementary Functions. Problems; Answers Chapter IV. Integral Theorems 7. Integration in the Complex Domain. Problems; Answers 8. Cauchy's Integral Theorems and Integral Formulas. Problems; Answers Chapter V. Expansion in Series 9. Series with Variable Terms. Uniform Convergence. Problems; Answers 10. Expansion in Power Series. Problems; Answers 11. Behaviour of Power Series on the Circle of Convergence. Problems; Answers Chapter V. Conformal Mapping 12. Linear Functions. Stereographic Projection. Problems; Answers 13. Simple Non-Linear Mapping Problems. Problems; Answers

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