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Synopsis
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.
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À propos de l?auteur
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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A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration
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Cambridge University Press, 2014
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ISBN 13 : 9781107663305
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A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration
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Cambridge University Press, 2014
ISBN 10 : 110766330X
ISBN 13 : 9781107663305
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A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration (Paperback)
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Paperback. Etat : new. Paperback. 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 RadonNikodym theorem is proved, and the differentiation of measures discussed. This is the third of three volumes that provide a full and detailed account of all those elements of real and complex analysis an undergraduate mathematics student can expect to encounter in the first two or three years of study. Numerous exercises, examples and applications are included. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781107663305
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A Course in Mathematical Analysis - VOLUME 3 - Complex Analysis, Measure and Integration
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Cambridge University Press, Cambridge, 2014
ISBN 10 : 110766330X
ISBN 13 : 9781107663305
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Softcover. Etat : Fine. Etat de la jaquette : No Dust Jacket. First Paperback Edition. 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. N° de réf. du vendeur LCB61867
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A Course in Mathematical Analysis: Volume 3: Complex Analysis, Measure and Integration
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Cambridge University Press, 2014
ISBN 10 : 110766330X
ISBN 13 : 9781107663305
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A Course in Mathematical Analysis
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A Course in Mathematical Analysis: Complex Analysis, Measure and Integration: Vol 3
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Paperback. Etat : Brand New. 332 pages. 9.75x7.00x0.75 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __110766330X
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A Course in Mathematical Analysis
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A Course in Mathematical Analysis
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A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration
Edité par
Cambridge University Press, 2014
ISBN 10 : 110766330X
ISBN 13 : 9781107663305
Neuf
Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This is the third of three volumes that provide a full and detailed account of all those elements of real and complex analysis an undergraduate mathematics student can expect to encounter in the first two or three years of study. Numerous exercises, example. N° de réf. du vendeur 595326364
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