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.
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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
Inhaltsangabe
Introduction Part I. Complex Analysis: 1. Holomorphic functions and analytic functions 2. The topology of the complex plane 3. Complex integration 4. Zeros and singularities 5. The calculus of residues 6. Conformal transformations 7. Applications Part II. Measure and Integration: 8. Lebesgue measure on R 9. Measurable spaces and measurable functions 10. Integration 11. Constructing measures 12. Signed measures and complex measures 13. Measures on metric spaces 14. Differentiation 15. Applications Index.
Introduction Part I. Complex Analysis: 1. Holomorphic functions and analytic functions 2. The topology of the complex plane 3. Complex integration 4. Zeros and singularities 5. The calculus of residues 6. Conformal transformations 7. Applications Part II. Measure and Integration: 8. Lebesgue measure on R 9. Measurable spaces and measurable functions 10. Integration 11. Constructing measures 12. Signed measures and complex measures 13. Measures on metric spaces 14. Differentiation 15. Applications Index.
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