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Item Details
| Title:
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A HISTORY OF COMPLEX DYNAMICS
FROM SCHRODER TO FATOU AND JULIA |
| By: |
Daniel S. Alexander |
| Format: |
Paperback |
| List price:
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£72.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3663091996 |
| ISBN 13: |
9783663091998 |
| Publisher: |
SPRINGER FACHMEDIEN WIESBADEN |
| Pub. date: |
3 June, 2013 |
| Edition: |
Softcover reprint of the original 1st ed. 1994 |
| Series: |
Aspects of Mathematics 24 |
| Pages: |
166 |
| Language: |
English & German |
| Translated from: |
German |
| Synopsis: |
The contemporary study of complex dynamics, which has flourished so much in recent years, is based largely upon work by G. Julia (1918) and P. Fatou (1919/20). The goal of this book is to analyze this work from an historical perspective and show in detail, how it grew out of a corpus regarding the iteration of complex analytic functions. This began with investigations by E. Schroder (1870/71) which he made, when he studied Newton's method. In the 1880's, Gabriel Koenigs fashioned this study into a rigorous body of work and, thereby, influenced a lot the subsequent development. But only, when Fatou and Julia applied set theory as well as Paul Montel's theory of normal families, it was possible to develop a global approach to the iteration of rational maps. This book shows, how this intriguing piece of modern mathematics became reality. |
| Illustrations: |
black & white illustrations |
| Publication: |
Germany |
| Imprint: |
Vieweg+Teubner Verlag |
| Returns: |
Returnable |
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Ramadan and Eid al-Fitr
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