Measure and Integral

The book is written in English Text is based on lectures in measure and integration theory given by the authors in the nineties. The preparation of this manuscript was partially supported by the grant No. 201/93/2174 of the Czech Grant Agency and by the grant No. 354 of the Charles University, Prague. Small corrections have been prepared for issues printed in 2013 and this e-book is also in compliance with this edition. Contens: List of Basic Notations and Frequently Used Symbols Measures and Measurable Functions The Abstract Lebesgue Integral Radon Integral and Measure Integration on R Integration on Rn Change of Variable and k-dimensional Measures Surface and Curve Integrals. Vector Integration Appendix on Topology References A Short Guide to the Notation. Subject Index