Complex analysis through examples and exercises / Endre Pap

Auteur principal : Pap, Endre, 1947-, AuteurType de document : MonographieCollection : Kluwer texts in the mathematical sciences, 21Langue : anglais.Pays: Pays Bas.Éditeur : Dordrecht : Kluwer, 1999Description : 1 vol. (x-337 p.) : fig. ; 24 cmISBN: 9780792357872.ISSN: 0927-4529.Bibliographie : Bibliogr. p. 333-334. Index.Sujet MSC : 30-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable
00A07, General and miscellaneous specific topics, Problem books
En-ligne : Springerlink
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This book is designed for a one or two semesters introduction to the subject of classical complex analysis. It is an attempt to present the rather involved subject of complex analysis through an active approach by the reader. At the beginning of each chapter some theoretical knowledge (in a very short representation) is given. A lot of examples and exercises should stimulate the reader to an active study of complex analysis. The readers are challenged by exercises of different levels. The style of this book is especially convenient for students of physics and for engineers, this means for people which want to understand the complex analysis as a powerful tool. For students which are interested to conceive the main philosophy, main ideas, main principles of complex analysis, respectively, the theoretical representation seems to be too short. Some more connections of complex analysis to other fields of mathematics (e.g. to potential theory, theory of special functions, theory of elliptic functions) could be added. The contents of the various chapters are as follows: 1. The complex numbers 2. Sequences and series 3. Complex functions 4. Conformal mappings 5. The integral 6. Isolated singularities 7. Isolated singularities 8. Residues 9. Analytic continuation 10. Integral transforms 11. Miscellaneous examples. (Zentralblatt)

Bibliogr. p. 333-334. Index

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