Early Days in Complex Dynamics
A History of Complex Dynamics in One Variable During 1906-1942
1 495 kr
Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.
Beskrivning
The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex function conducted by Koenigs, Schoder, and others, flourished remarkably during the first half of the 20th century, when many of the central ideas and techniques of the subject developed. This book by Alexander, Iavernaro, and Rosa paints a robust picture of the field of complex dynamics between 1906 and 1942 through detailed discussions of the work of Fatou, Julia, Siegel, and several others. A recurrent theme of the authors' treatment is the center problem in complex dynamics. They present its complete history during this period and, in so doing, bring out analogies between complex dynamics and the study of differential equations, in particular, the problem of stability in Hamiltonian systems. Among these analogies are the use of iteration and problems involving small divisors which the authors examine in the work of Poincare and others, linking them to complex dynamics, principally via the work of Samuel Lattes, in the early 1900s, and Jurgen Moser, in the 1960s. Many details will be new to the reader, such as a history of Lattes functions (functions whose Julia set equals the Riemann sphere), complex dynamics in the United States around the time of World War I, a survey of complex dynamics around the world in the 1920s and 1930s, a discussion of the dynamical programs of Fatou and Julia during the 1920s, and biographical material on several key figures. The book contains graphical renderings of many of the mathematical objects the authors discuss, including some of the intriguing fractals Fatou and Julia studied, and concludes with several appendices by current researchers in complex dynamics which collectively attest to the impact of the work of Fatou, Julia, and others upon the present-day study.
Produktinformation
Utforska kategorier
Mer om författaren
Innehållsförteckning
Hoppa över listan
Mer från samma serie
Essays in the History of Lie Groups and Algebraic Groups
American Mathematical Society
Inbunden, 2001
1 495 kr
Emergence of the American Mathematical Research Community, 1876-1900
Karen Hunger Parshall, David E. Rowe
Häftad, 1994
1 495 kr
Hoppa över listan
Du kanske också är intresserad av
- Nyhet
Del 24
Wissenschaft Zwischen Qualitas Und Quantit
E. Neuenschwander, Erwin Neuenschwander
Inbunden, 2000
519 kr