The AIMS Library is a series of up-to-date self-study guides on fundamental topics essential to the contemporary application of mathematics. Each book in the Library is compact, focused on the essentials, and is designed to convey a maximum number of usable ideas in the minimum of time. To assist self-study, prerequisites are kept to a minimum, and each book contains systematic, straightforward examples and exercises, with solutions as appropriate, and a guide to the literature. Each subject is placed in context: what motivated its development, what it is used for today, its current problems, and where it is likely to go. The texts are designed for those who want to learn powerful ideas and techniques in subjects that have the most promise of long-term growth, and where students and young researchers can hope to make an impact. Creative Mathematics is about exploring mathematical situations, and problem solving in the sense of doing research. In reality, problems are not always well formulated, and part of the necessary skill in research is to be able to formulate precise mathematical questions before trying to answer them. The problems discussed here are open ended, and are capable of being generalized far beyond the original question.

Book jacket.