Free Category Theory Books & Tutorials. Read online or download these free Category Theory eBooks, lecture notes & tutorials.
The question of whether each locally euclidean Topological Group admits a Lie group structure was posed by David Hilbert in 1900. This was the sixth of his famous 23 problems, which anticipated much of the twentieth century's inventiveness in...
The whole course on issues in global analysis is presented in this book, along with some orbital applications of the integration on topological groups and related algebras to harmonic analysis and induced representations in representation theory. ...
In this free programming book, we concentrate on the powerful dynamic programming theory-based reinforcement learning methods. We provide a very thorough list of learning problems, explain the fundamental concepts, list numerous state-of-the-art methods, and then assess the theoretical merits...
This free programming book offers an accessible introduction to category theory for computer scientists as well as useful examples in the context of programming language design. In "Categories, Types and Frameworks," the mathematical structures that have supported language design...
This free programming book is a textbook on fundamental category theory that was developed with computing science scholars and students in mind. In the context of examples and applications to computing science, we explain the constructions that we believe...
This free programming book provides the fundamentals of this theory and illustrates how existing theorems in algebraic topology may be restated and generalized in the theory's new language utilizing the weak Kan complexes language proposed by Boardman and Vogt....
This free programming book offers a clear introduction to elementary sheaf theory from the standpoint of applied category theory and explores several applications, such as n-colorings of graphs, satellite data, chess problems, Bayesian networks, self-similar groups, musical performance, complexes,...
This book develops categorical abstract homotopy theory with a strong emphasis on instances.
Many of the major advancements in pure mathematics made throughout the 20th century were made possible because of category theory.
Category Theory is unequaled in its capacity to arrange and layer abstractions and uncover commonalities across structures of all types. It is now proven to be a potent instrument in research, informatics, and industry, no longer the sole domain...