Shelf wear ONLY. Slight scuff to lower right corner. ; Shelf wear ONLY. Slight scuff to lower right corner. This book explores advanced mathematical concepts, including complex functions, integration theory, and measure theory. This volume provides detailed explanations, rigorous proofs, and practical examples, making it an essential resource for advanced students and researchers. It bridges foundational knowledge with complex applications, enhancing understanding of higher-level mathematical analysis. ; 6.69 X 0.75 X 9.61 inches; x, 939 (6) pages.

Bestandsnummer des Verk�ufers LCB61867

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Bibliografische Details

Titel

A Course in Mathematical Analysis - VOLUME 3 - Complex Analysis, Measure and Integration

Verlag

Cambridge University Press, Cambridge

Erscheinungsjahr

2014

Sprache

Englisch

ISBN-10

110766330X

ISBN-13

9781107663305

Einband

Softcover

Auflage

First Paperback Edition.

Zustand

Fine

Zustand des Schutzumschlags

No Dust Jacket

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�ber diesen Titel

Inhaltsangabe

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The Radon–Nikodym theorem is proved, and the differentiation of measures discussed.

�ber die Autorin bzw. den Autor

D. J. H. Garling is Emeritus Reader in Mathematical Analysis at the University of Cambridge and Fellow of St John's College, Cambridge. He has fifty years' experience of teaching undergraduate students in most areas of pure mathematics, but particularly in analysis.

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