Complex Analysis and Dynamics in One Variable with Applications - Magalh?es, Luis T.; - Prospero Internetes Könyváruház

Complex Analysis and Dynamics in One Variable with Applications
 
A termék adatai:

ISBN13:9783031649981
ISBN10:3031649982
Kötéstípus:Keménykötés
Terjedelem:741 oldal
Méret:235x155 mm
Nyelv:angol
Illusztrációk: 169 Illustrations, black & white; 59 Illustrations, color
700
Témakör:

Complex Analysis and Dynamics in One Variable with Applications

 
Kiadás sorszáma: 2024
Kiadó: Springer
Megjelenés dátuma:
Kötetek száma: 1 pieces, Book
 
Normál ár:

Kiadói listaár:
EUR 80.24
Becsült forint ár:
34 880 Ft (33 219 Ft + 5% áfa)
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Az Ön ára:

27 904 (26 575 Ft + 5% áfa )
Kedvezmény(ek): 20% (kb. 6 976 Ft)
A kedvezmény érvényes eddig: 2024. december 31.
A kedvezmény csak az 'Értesítés a kedvenc témákról' hírlevelünk címzettjeinek rendeléseire érvényes.
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  példányt

 
Rövid leírás:

This textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics. It focuses on the fundamental aspects of one-variable complex functions, covering the geometric theory and dynamics of iterations of rational mappings. Following the standard material, the book delves into an extensive range of advanced topics, encompassing the requirements for a one-year graduate-level course or a preliminary exam.



In this work, the reader will discover three distinctive characteristics: it simplifies and unifies ideas and concepts that might appear disparate or complicated in real analysis; it contributes to the development of other areas in mathematics; and it showcases relevance for applications in Science and Engineering, with many exercises. Historical notes throughout the text help to contextualize the theory.



With its flexible structure, this textbook provides a solid foundation for a first course in Complex Analysis and for a second more advanced course, establishing a robust basis for subsequent studies.

Hosszú leírás:

This textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics. It focuses on the fundamental aspects of one-variable complex functions, covering the geometric theory and dynamics of iterations of rational mappings. Following the standard material, the book delves into an extensive range of advanced topics, encompassing the requirements for a one-year graduate-level course or a preliminary exam.



In this work, the reader will discover three distinctive characteristics: it simplifies and unifies ideas and concepts that might appear disparate or complicated in real analysis; it contributes to the development of other areas in mathematics; and it showcases relevance for applications in Science and Engineering, with many exercises. Historical notes throughout the text help to contextualize the theory.



With its flexible structure, this textbook provides a solid foundation for a first course in Complex Analysis and for a second more advanced course, establishing a robust basis for subsequent studies.

Tartalomjegyzék:

Complex plane.- Functions.- Derivative.- Integral.- Analyticity.- Uni cation of holomorphy cauchy theorem and analyticity.- Global cauchy theorem.- Meromorphic functions.- Harmonic functions.- Conformal regions.- Analytic continuation and riemann surfaces.- Uniformization of riemann surfaces.- Complex dynamics.