Logo

Around the Boundary of Complex Dynamics

Small book cover: Around the Boundary of Complex Dynamics

Around the Boundary of Complex Dynamics
by

Publisher: arXiv
Number of pages: 56

Description:
We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced and interesting properties of their boundaries will be described.

Home page url

Download or read it online for free here:
Download link
(1.5MB, PDF)

Similar books

Book cover: Computable IntegrabilityComputable Integrability
by - arXiv
A preliminary version of the textbook on integrable systems. Contents: General notions and ideas; Riccati equation; Factorization of linear operators; Commutativity of linear operators; Integrability of non-linear PDEs; Burgers-type equations.
(4024 views)
Book cover: Extremes and Recurrence in Dynamical SystemsExtremes and Recurrence in Dynamical Systems
by - arXiv
This book provides a comprehensive introduction for the study of extreme events in the context of dynamical systems. It provides an overview of the area, underlining its relevance for mathematics, natural sciences, engineering, and social sciences.
(606 views)
Book cover: Discrete Dynamical SystemsDiscrete Dynamical Systems
by - Bookboon
This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential to understand the behavior of nonlinear discrete dynamical systems. The theory is illuminated by examples and exercises.
(2881 views)
Book cover: Hyperbolic Manifolds, Discrete Groups and Ergodic TheoryHyperbolic Manifolds, Discrete Groups and Ergodic Theory
by - Harvard University
Contents: Ergodic theory; Dynamics on hyperbolic surfaces; Orbit counting, equidistribution and arithmetic; Spectral theory; Mixing of unitary representations of SLnR; Amenability; The Laplacian; All unitary representations of PSL2(R); etc.
(2644 views)