An Introduction to Random Currents and Their Applications (SpringerBriefs in Mathematics)
暫譯: 隨機電流及其應用導論(數學簡報系列)
Vincenzo Capasso
- 出版商: Springer
- 出版日期: 2018-08-14
- 售價: $2,310
- 貴賓價: 9.5 折 $2,195
- 語言: 英文
- 頁數: 160
- 裝訂: Paperback
- ISBN: 3319945769
- ISBN-13: 9783319945767
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商品描述
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 research.
商品描述(中文翻譯)
本書介紹隨機流,通過呈現應用所需的基本數學方法。流的理論是幾何測度理論中的一個高級主題,將分佈擴展到任意階微分形式空間中的線性泛函。本書介紹並分析了將隨機分佈擴展到隨機流的方法。本書首先概述了流理論的數學方面,然後檢視在醫學、材料科學和影像分析中的應用。應用研究者將發現,實用的現代數學方法以及詳細的附錄對於激發新的應用和研究非常有幫助。