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Problem Book in the Theory of Functions by Konrad Knopp ISBN: 0486414515 Dover Publications Price: $8.95 click here to see this book This single-volume edition combines 2 parts of a renowned mathematician's collection of problems. Vol. I contains more than 300 elementary problems dealing with fundamental concepts, infinite sequences and series, more. Vol. II features over 230 problems in advanced theory — singularities, entire and meromorphic functions, periodic functions, more. Includes hints and complete solutions to all problems. Table of Contents for Problem Book in the Theory of Functions 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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