Chaotic Maps / Synthesis Lectures on Mathematics & Statistics (PDF)

Goong Chen was born in Kaohsiung, Taiwan in 1950. He received his BSc (Math) from the National Tsing Hua University in Hsinchu, Taiwan in 1972 and PhD (Math) from the University of Wisconsin at Madison in 1977. He has taught at the Southern Illinois University at Carbondale (1977-78), and the Pennsylvania State University at University Park (1978-1987). Since 1987, he has been Professor of Mathematics and Aerospace Engineering, and (since 2000) a member of the Institute for Quantum Science and Engineering, at Texas A&M University in College Station, Texas. Since 2010, he is also Professor of Mathematics at Texas A&M University in Qatar at Doha, Qatar. He has held visiting positions at INRIA in Rocquencourt, France, Centre de Recherche Mathematiques of the Universite de Montreal, the Technical University of Denmark in Lyngby, Denmark, the National University of Singapore, National Taiwan University in Taipei, Taiwan, Academia Sinica in Nankang, Taiwan, and National Tsing Hua University in Hsinchu, Taiwan. He has research interests in many areas of applied and computational mathematics: control theory for partial differential equations (PDEs), boundary element methods and numerical solutions of PDEs, engineering mechanics, chaotic dynamics, quantum computation, chemical physics and quantum mechanics. He has written over one hundred and thirty papers, five advanced texts/monographs, and co-edited four books. He is Editor-in-Chief of the Journal of Mathematical Analysis and Applications, and he has served on several other editorial boards, including the SIAM Journal on Control and Optimization, the International Journal on Quantum Information, and the Electronic Journal of Differential Equations. He is also a co-holder of a U.S. Patent on certain quantum circuit design for quantum computing. He holds memberships in the American Mathematical Society (AMS) and the Society for Industrial and Applied Mathematics (SIAM). Yu Huang was born in Guangdong Province, People's