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Students learning the subject from scratch will value this comprehensive text, which presents three major types of dynamics, from the basics to some of the latest results: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. It will also be a valuable reference for experienced researchers.
This is a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. For all researchers in combinatorial designs, coding theory, and finite geometries.
The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. Following an extensive discussion of many current approaches, Carlos Simpson explains the first concrete and workable theory of n-categories in detail.
In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. The book covers applications in pure and applied mathematics and in mechanics, and it will interest researchers and graduate students in these areas.
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