Theory Of Categories
Download Theory Of Categories PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Theory Of Categories book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Basic Category Theory
Author: Tom Leinster
language: en
Publisher: Cambridge University Press
Release Date: 2014-07-24
A short introduction ideal for students learning category theory for the first time.
An Introduction to Category Theory
Author: Harold Simmons
language: en
Publisher: Cambridge University Press
Release Date: 2011-09-22
Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course.
The Theory of Categories
Author: F.C. Brentano
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
This book contains the definitive statement of Franz Brentano's views on meta physics. It is made up of essays which were dictated by Brentano during the last ten years of his life, between 1907 and 1917. These dictations were assembled and edited by Alfred Kastil and first published by the Felix Meiner Verlag in 1933 under the title Kategorienlehre. Kastil added copious notes to Brentano's text. These notes have been included, with some slight omissions, in the present edition; the bibliographical references have been brought up to date. Brentano's approach to philosophy is unfamiliar to many contemporay readers. I shall discuss below certain fundamental points which such readers are likely to find the most difficult. I believe that once these points are properly understood, then what Brentano has to say will be seen to be of first importance to philosophy. THE PRIMACY OF THE INTENTIONAL To understand Brentano's theory of being, one must realize that he appeals to what he calls inner perception for his paradigmatic uses of the word "is". For inner perception, according to Brentano, is the source of our knowledge of the nature of being, just as it is the source of our knowledge of the nature of truth and of the nature of good and evil. And what can be said about the being of things that are not apprehended in inner perception can be understood only by analogy with what we are able to say about ourselves as thinking subjects.