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An Introduction to Random Currents and Their Applications


An Introduction to Random Currents and Their Applications


SpringerBriefs in Mathematics

von: Vincenzo Capasso

53,49 €

Verlag: Springer
Format: PDF
Veröffentl.: 02.08.2018
ISBN/EAN: 9783319945774
Sprache: englisch

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<p>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. &nbsp;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.&nbsp; Applied researchers will find the practical modern mathematical methods along with the detailed appendix useful to stimulate new applications and research.&nbsp;&nbsp;</p><div><br></div>
<div>&nbsp;1. Introduction and motivations.- 2.&nbsp;Differential forms.- 3.Currents - The deterministic case.- 4.Currents - The stochastic case.- 5.Applications.- Appendix.- References.- Glossary.- Index.&nbsp;</div><div><br></div>
Presents mathematical methods necessary for applications in medicine, material science, and image analysis Extends random distributions to random currents Stimulates new applications and research through mathematical methods

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