Derivation and Integration

ISBN-13: 9780521792684 / Angielski / Twarda / 2001 / 284 str.

Washek F. Pfeffer; B. Bollobas; W. Fulton

Opis

This book, devoted to an invariant multidimensional process of recovering a function from its derivative, considers additive functions defined on the family of all bounded BV sets that are continuous with respect to a suitable topology. The main applications are related to the Gauss-Green and Stokes theorems. The book contains complete and detailed proofs of all new results, and of many known results for which the references are not easily available. It will provide valuable information to research mathematicians and advanced graduate students interested in geometric integration and related areas.

Recenzje

Review of the hardback: 'Readers with a good background in analysis will find this an illuminating account.' Mathematika

Spis treści

Preface; Acknowledgments; 1. Preliminaries; 2. Charges; 3. Variations of charges; 4. Charges and BV functions; 5. Integration; 6. Extending the integral; Bibliography; List of symbols; Index.