This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.
Problems in Real and Complex Analysis
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Inside This Book
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First Sentence:
When n is a cardinal number, the phrase "n objects" signifies n pairwise different objects. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
ternary markers, monotonely increasing function, nonnegative linear functional, generalized nilpotent, def sup, isolated essential singularity, maximum modulus theorem, interval deleted, nonmeasurable subset, subsequence converging uniformly, reversed inclusion, def inf, nonempty open interval, def lim, ternary representation, basic neighborhoods, pairwise disjoint intervals, uniform boundedness principle, measurable partition, finite positive measure, direct calculation shows, continuous surjection, functions holomorphic, approximate identity, measure situation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Elementary Theory, Axiom of Choice, Convexity Theorems, Complex-valued Functions, Families of Functions, Harmonic Functions, Hence Cauchy, The Problems New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
When n is a cardinal number, the phrase "n objects" signifies n pairwise different objects. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
ternary markers, monotonely increasing function, nonnegative linear functional, generalized nilpotent, def sup, isolated essential singularity, maximum modulus theorem, interval deleted, nonmeasurable subset, subsequence converging uniformly, reversed inclusion, def inf, nonempty open interval, def lim, ternary representation, basic neighborhoods, pairwise disjoint intervals, uniform boundedness principle, measurable partition, finite positive measure, direct calculation shows, continuous surjection, functions holomorphic, approximate identity, measure situation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Elementary Theory, Axiom of Choice, Convexity Theorems, Complex-valued Functions, Families of Functions, Harmonic Functions, Hence Cauchy, The Problems New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 17
books:
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14
books
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- Unsolved Problems in Number Theory (Problem Books in Mathematics / Unsolved Problems in Intuitive Mathematics) by Richard Guy in Front Matter
- Exercises in Integration (Problem Books in Mathematics) by C. George in Front Matter
- Exercises in Probability (Problem Books in Mathematics) by T. Cacoullos in Front Matter
- Algebraic Logic (Problem Books in Mathematics) by Semen G. Gindikin in Front Matter
- An Outline of Set Theory (Problem Books in Mathematics) by James M. Henle in Front Matter
See all 17 books this book cites
- Problems and Theorems in Classical Set Theory (Problem Books in Mathematics) by Peter Komjath in Front Matter
- Unsolved Problems in Number Theory (Problem Books in Mathematics / Unsolved Problems in Intuitive Mathematics) by Richard Guy in Front Matter
- Polynomials (Problem Books in Mathematics) by E.J. Barbeau in Front Matter
- Berkeley Problems in Mathematics by Paulo Ney de Souza in Front Matter
- Contests in Higher Mathematics: Miklos Schweitzer Competitions, 1962-1991 (Problem Books in Mathematics) by Gabor J. Szekely in Front Matter
See all 14 books citing this book
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