Problems & Solutions in Stochastic Calculus with Appln
暫譯: 隨機微積分中的問題與解決方案及其應用

Patrik Albin, Kais Hamza Fima C. Klebane

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商品描述

Problems and Solutions in Stochastic Calculus with Applications exposes readers to simple ideas and proofs in stochastic calculus and its applications. It is intended as a companion to the successful original title Introduction to Stochastic Calculus with Applications (Third Edition) by Fima Klebaner. The current book is authored by three active researchers in the fields of probability, stochastic processes, and their applications in financial mathematics, mathematical biology, and more. The book features problems rooted in their ongoing research. Mathematical finance and biology feature pre-eminently, but the ideas and techniques can equally apply to fields such as engineering and economics.The problems set forth are accessible to students new to the subject, with most of the problems and their solutions centring on a single idea or technique at a time to enhance the ease of learning. While the majority of problems are relatively straightforward, more complex questions are also set in order to challenge the reader as their understanding grows. The book is suitable for either self-study or for instructors, and there are numerous opportunities to generate fresh problems by modifying those presented, facilitating a deeper grasp of the material.

商品描述(中文翻譯)

《隨機微積分中的問題與解決方案》讓讀者接觸到隨機微積分及其應用中的簡單概念和證明。本書旨在作為Fima Klebaner的成功原著《隨機微積分導論(第三版)》的補充。當前的書籍由三位在概率、隨機過程及其在金融數學、數學生物學等領域應用方面的活躍研究者撰寫。書中包含根植於他們持續研究的問題。數學金融和生物學是主要焦點,但這些概念和技術同樣適用於工程和經濟等領域。所提出的問題對於新接觸該主題的學生來說是可及的,大多數問題及其解答集中於單一概念或技術,以增強學習的便利性。雖然大多數問題相對簡單,但也設置了更複雜的問題,以挑戰讀者隨著理解的增長。本書適合自學或用於教學,並且通過修改所呈現的問題,提供了生成新問題的眾多機會,促進對材料的更深入理解。