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About this product
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486414515
ISBN-139780486414515
eBay Product ID (ePID)1821529
Product Key Features
Number of Pages272 Pages
LanguageEnglish
Publication NameProblem Book in the Theory of Functions
SubjectFunctional Analysis
Publication Year2000
TypeTextbook
AuthorKonrad Knopp
Subject AreaMathematics
SeriesDover Books on Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight11.2 Oz
Item Length8.4 in
Item Width5.4 in
Additional Product Features
Intended AudienceCollege Audience
LCCN00-031613
Dewey Edition21
Dewey Decimal517.5
Table Of ContentChapter I. Fundamental Concepts 1. Numbers and Points. Problems; Answers 2. Point Sets. Paths. RegionsChapter II. Infinite Sequences and Series 3. Limits of Sequences. Infinite Series with Constant Terms. Problems; Answers 4. Convergence Properties of Power Series. Problems; AnswersChapter III. Functions of a Complex Variable 5. Limits of Functions. Continuity and Differentiability. Problems; Answers 6. Simple Properties of the Elementary Functions. Problems; AnswersChapter IV. Integral Theorems 7. Integration in the Complex Domain. Problems; Answers 8. Cauchy's Integral Theorems and Integral Formulas. Problems; AnswersChapter 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; AnswersChapter V. Conformal Mapping 12. Linear Functions. Stereographic Projection. Problems; Answers 13. Simple Non-Linear Mapping Problems. Problems; Answers
SynopsisSingle-volume edition of renowned collection of problems. Part 1 contains more than 300 problems dealing with fundamental concepts; part 2 has over 230 problems in advanced theory. Includes hints and full solutions to all problems., 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., 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.