**Categories and Homological Algebra**

by Pierre Schapira

**Publisher**: UPMC 2011**Number of pages**: 125

**Description**:

The aim of these notes is to introduce the reader to the language of categories and to present the basic notions of homological algebra, first from an elementary point of view, with the notion of derived functors, next with a more sophisticated approach, with the introduction of triangulated and derived categories.

Download or read it online for free here:

**Download link**

(630KB, PDF)

## Similar books

**Category Theory for Computing Science**

by

**Michael Barr, Charles Wells**-

**Prentice Hall**

This book is a textbook in basic category theory, written specifically to be read by researchers and students in computing science. We expound the constructions basic to category theory in the context of applications to computing science.

(

**10083**views)

**Dynamical Systems and Sheaves**

by

**D. I. Spivak, C. Vasilakopoulou, P. Schultz**-

**arXiv**

A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as 'machines' with inputs and outputs, carrying some sort of signal that occurs through some notion of time.

(

**7028**views)

**Notes on Category Theory with examples from basic mathematics**

by

**Paolo Perrone**-

**arXiv**

These notes were originally developed as lecture notes for a category theory course. They should be well-suited to anyone that wants to learn category theory from scratch and has a scientific mind. There is no need to know advanced mathematics.

(

**673**views)

**Abelian Categories: an Introduction to the Theory of Functors**

by

**Peter Freyd**-

**Harper and Row**

From the table of contents: Fundamentals (Contravariant functors and dual categories); Fundamentals of Abelian categories; Special functors and subcategories; Metatheorems; Functor categories; Injective envelopes; Embedding theorems.

(

**13675**views)