The Heart of Cohomology [Hardcover]

If you have not heard about cohomology, The Heart of Cohomology may be suited for you. The book gives Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology. In addition, the book examines cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family.

If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family are provided.

From the reviews:

This book teems with the authors joy in his subject. It is accordingly an idiosyncratic work, with a variety of human elements poking through the mathematics at nearly every corner. & Katos The Heart of Cohomology is a pleasure to read and itll be a pleasure to come back to it again and again. (Michael Berg, MathDL, December, 2007)

This monograph is an expanded version of the lecture notes for a short course titled Introduction to Derived Categories given by the author at the University of Antwerp in 2004. & It can be recommended to anyone interested in a quick introduction to abstract cohomology theory. (Ch. Baxa, Monatshefte f?r Mathematik, Vol. 154 (1), May, 2008)

Informal and conversational

Detailed

Elemental and elementary

Kind explanation