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An Introduction to Random Currents and Their Applications / by Vincenzo Capasso

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerBriefs in Mathematics | Springer eBook Collection | SpringerLink BücherPublisher: Cham : Springer International Publishing, 2018Description: Online-Ressource (XIII, 143 p, online resource)ISBN:
  • 9783319945774
Subject(s): Additional physical formats: 9783319945767 | 9783319945781 | Erscheint auch als: 978-3-319-94576-7 Druck-Ausgabe | Printed edition: 9783319945767 | Printed edition: 9783319945781 DDC classification:
  • 515.42
MSC: MSC: *28-02 | 28A75 | 60-02 | 60D05LOC classification:
  • QA312-312.5
DOI: DOI: 10.1007/978-3-319-94577-4Online resources: Summary: This book introduces random currents by presenting underlying mathematical methods necessary for applications. The theory of currents is an advanced topic in geometric measure theory that extends distribution to linear functionals within the space of differential forms of any order. Methods to extend random distributions to random currents are introduced and analyzed in this book. Beginning with an overview of mathematical aspects of the theory of currents, this book moves on to examine applications in medicine, material science, and image analysis. Applied researchers will find the practical modern mathematical methods along with the detailed appendix useful to stimulate new applications and researchSummary: 1. Introduction and motivations -- 2. Differential forms -- 3.Currents - The deterministic case -- 4.Currents - The stochastic case -- 5.Applications -- Appendix -- References -- Glossary -- IndexPPN: PPN: 1030111790Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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Reproduktion. (Springer eBook Collection. Mathematics and Statistics)