Chih-Wen Lan Knihy

Focusing on the historical, environmental, and technical factors, this research explores the stark contrasts in heritage conservation traditions between Taiwan and Germany. It highlights how elements from ancient Chinese literature, culture, and religion influence conservation practices. The study suggests that bridging cultural and language gaps could allow the Chinese-speaking world to adopt Germany's established conservation methods, while simultaneously offering Germany innovative, nature-friendly approaches rooted in Chinese heritage.

This is a graduate text in differentiable dynamical systems. It focuses on structural stability and hyperbolicity, a topic that is central to the field. Starting with the basic concepts of dynamical systems, analyzing the historic systems of the Smale horseshoe, Anosov toral automorphisms, and the solenoid attractor, the book develops the hyperbolic theory first for hyperbolic fixed points and then for general hyperbolic sets. The problems of stable manifolds, structural stability, and shadowing property are investigated, which lead to a highlight of the book, the Ω-stability theorem of Smale. While the content is rather standard, a key objective of the book is to present a thorough treatment for some tough material that has remained an obstacle to teaching and learning the subject matter. The treatment is straightforward and hence could be particularly suitable for self-study. Selected solutions are available electronically for instructors only. Please send email to textbooks@ams.org for more information.