Modern Real and Complex Analysis

Inbunden, Engelska, 1995

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Beskrivning

Modern Real and Complex Analysis Thorough, well-written, and encyclopedic in its coverage, this textoffers a lucid presentation of all the topics essential to graduatestudy in analysis. While maintaining the strictest standards ofrigor, Professor Gelbaum's approach is designed to appeal tointuition whenever possible. Modern Real and Complex Analysisprovides up-to-date treatment of such subjects as the Daniellintegration, differentiation, functional analysis and Banachalgebras, conformal mapping and Bergman's kernels, defectivefunctions, Riemann surfaces and uniformization, and the role ofconvexity in analysis. The text supplies an abundance of exercisesand illustrative examples to reinforce learning, and extensivenotes and remarks to help clarify important points.

Produktinformation

Utgivningsdatum:1995-05-26
Mått:162 x 243 x 28 mm
Vikt:879 g
Format:Inbunden
Språk:Engelska
Antal sidor:504
Förlag:John Wiley & Sons Inc
ISBN:9780471107156

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

BERNARD R. GELBAUM is Professor of Mathematics at the State University of New York at Buffalo. He has previously served on the faculties of the University of Minnesota, the University of California, Irvine, and as a Fulbright Senior Scholar at University College, Galway, Ireland. He has published research in analysis and probability theory and is the author of Theorems and Counterexamples in Mathematics; Problems in Real and Complex Analysis; and Linear Algebra: Basics, Practice and Theory.

Innehållsförteckning

REAL ANALYSIS. Fundamentals. Integration. Functional Analysis. More Measure Theory. COMPLEX ANALYSIS. Locally Holomorphic Functions. Harmonic Functions. Meromorphic and Entire Functions. Conformal Mapping. Defective Functions. Riemann Surfaces. Convexity and Complex Analysis. Several Complex Variables. Bibliography. Symbol List. Glossary/Index.