Categories for the Working Mathematician (Graduate Texts in Mathematics, 5)

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 the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the 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, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions.

This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.

Finding high-quality digital editions shouldn't be a challenge. With instant access to our curated library, you can start your journey with Aftermath immediately. Whether on your phone, tablet, or e-reader, the story of Raleigh's life is presented in a format designed for modern readers.

To get started finding Categories for the Working Mathematician (Graduate Texts in Mathematics, 5), you are right to find our website which has a comprehensive collection of titles listed. Our library is one of the most comprehensive resources for free digital reading materials, providing verified and safe content for book lovers worldwide.