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Author
Publisher
Dover Publications
Pub. Date
[2017]
Language
English
Description
Category theory has provided the foundations for many of the twentieth century's greatest advances in pure mathematics. This concise, original text for a one-semester course on the subject is derived from courses that author Emily Riehl taught at Harvard and Johns Hopkins Universities. The treatment introduces the essential concepts of category theory: categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions,...
Author
Publisher
Dover Publications
Pub. Date
[2017]
Language
English
Description
Mathematical induction -- along with its equivalents, complete induction and well-ordering, and its immediate consequence, the pigeonhole principle -- constitute essential proof techniques. Every mathematician is familiar with mathematical induction, and every student of mathematics requires a grasp of its concepts. This volume provides an introduction and a thorough exposure to these proof techniques. Geared toward students of mathematics at all...
Author
Publisher
Dover Publications
Pub. Date
[2017]
Language
English
Description
This well-written and engaging volume, intended for undergraduates, introduces knot theory, an area of growing interest in contemporary mathematics. The hands-on approach features many exercises to be completed by readers. Prerequisites are only a basic familiarity with linear algebra and a willingness to explore the subject in a hands-on manner. The opening chapter offers activities that explore the world of knots and links -- including games with...
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