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Buch, Englisch, 304 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 647 g
Buch, Englisch, 304 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 647 g
ISBN: 978-0-521-24513-5
Verlag: Cambridge University Press
This is a very successful textbook for undergraduate students of pure mathematics. Students often find the subject of complex analysis very difficult. Here the authors, who are experienced and well-known expositors, avoid many of such difficulties by using two principles: (1) generalising concepts familiar from real analysis; (2) adopting an approach which exhibits and makes use of the rich geometrical structure of the subject. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Preface; Acknowledgement; 1. The origins of complex analysis and a modern viewpoint; 2. Algebra of the complex plane; 3. Topology of the complex plane; 4. Power series; 5. Differentiation; 6. The exponential function; 7. Integration; 8. Angles, logarithms and the winding number; 9. Cauchy's theorem; 10. Homotopy versions of Cauchy's theorem; 11. Taylor series; 12. Laurent series; 13. Residues; 14. Conformal transformations; 15. Analytic continuation; Index.
