Open Problems in Mathematics and Computational Science

This book presents interesting, important unsolved problems in the mathematical and computational sciences. The contributing authors are leading researchers in their fields and they explain outstanding challenges in their domains, first by offering basic definitions, explaining the context, and summarizing related algorithms, theorems, and proofs, and then by suggesting creative solutions.

The authors feel a strong motivation to excite deep research and discussion in the mathematical and computational sciences community, and the book will be of value to postgraduate students and researchers in the areas of theoretical computer science, discrete mathematics, engineering, and cryptology.

Prof. Cetin Kaya Koc is a research professor in the Dept. of Computer Science and the College of Creative Studies at the University of California, Santa Barbara. He received his Ph.D. in Electrical and Computer Engineering from UCSB in 1988, and was an assistant professor at the University of Houston, and a full professor at Oregon State University. He cofounded the Workshop on Cryptographic Hardware and Embedded Systems, and he is the founding Editor-in-Chief of the Journal of Cryptographic Hardware. His research interests are in cryptographic hardware and embedded systems, secure hardware design, side-channel attacks and countermeasures, algorithms, and architectures for computer arithmetic and finite fields. He was elected as an IEEE Fellow for his contributions to cryptographic engineering.