Lane, Saunders Mac
Categories for the Working Mathematician
- ISBN 13:
- 9781475747225
- author:
- Lane, Saunders Mac
- format:
- Paperback
- publisher:
- Springer
- language:
- English
- Publication Year:
- 2014
- Pages:
- 332
- Dimensions:
- 22.9 x 15.2 x 1.8 centimetres (0
- Genre:
- Science, Mathematics, Algebra,
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates key concepts such as category, functor, natural transformation, and duality.
The book then delves into adjoint functors, which provide a description of universal constructions, an analysis of representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, with many applications of the basic existence theorem for adjoint functors.
This second edition includes revisions and additions, including new chapters on symmetric monoidal categories, braided monoidal categories, and higher dimensional categories, as well as an expanded bibliography covering recent advances in the field.
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