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Handbook of Geometry and Topology of Singularities I

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject. This is the first volume in a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

Developments In Language Theory: At The Crossroads Of Mathematics, Computer Sci And Biology

This proceedings volume provides a modern synopsis of recent studies concerning certain areas of language theory very close to applications. The topics covered range from image generation and developmental models to combinatorics of words and formal power series, as well as from fractals to computational complexity. Although the contributions represent ongoing research, much of the material is accessible to a reader with only a moderate previous knowledge of the subject.