Martingales and Stochastic Integrals pdf epub mobi txt 电子书下载 2026

简体网页||繁体网页

☆☆☆☆☆

出版者:

作者:Kopp, P. E.

出品人:

页数:216

译者:

出版时间:2008-11

价格:$ 63.28

装帧:

isbn号码:9780521090339

丛书系列:

图书标签:

Stochastic Processes
Martingales
Stochastic Calculus
Probability Theory
Measure Theory
Financial Mathematics
Brownian Motion
Ito Calculus
Stochastic Integration
Mathematical Finance

下载链接在页面底部

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 复制链接

想要找书就要到图书目录大全

book.wenda123.org

立刻按 ctrl+D收藏本页

你会得到大惊喜!!

具体描述

This book provides an introduction to the rapidly expanding theory of stochastic integration and martingales. The treatment is close to that developed by the French school of probabilists, but is more elementary than other texts. The presentation is abstract, but largely self-contained and Dr Kopp makes fewer demands on the reader's background in probability theory than is usual. He gives a fairly full discussion of the measure theory and functional analysis needed for martingale theory, and describes the role of Brownian motion and the Poisson process as paradigm examples in the construction of abstract stochastic integrals. An appendix provides the reader with a glimpse of very recent developments in non-commutative integration theory which are of considerable importance in quantum mechanics. Thus equipped, the reader will have the necessary background to understand research in stochastic analysis. As a textbook, this account will be ideally suited to beginning graduate students in probability theory, and indeed it has evolved from such courses given at Hull University. It should also be of interest to pure mathematicians looking for a careful, yet concise introduction to martingale theory, and to physicists, engineers and economists who are finding that applications to their disciplines are becoming increasingly important.

这本书详细探讨了两门重要数学领域——马丁格尔过程和随机积分，这些主题在现代概率论、金融工程以及统计分析中扮演着关键角色。书中的内容系统地解析了这些概念的基本理论框架，帮助读者理解它们的定义、数学表述及其应用背景。书中的章节从核心定义出发，深入分析马丁格尔过程在随机变量建模中的作用，同时介绍随机积分这一复杂工具及其在连续时间情况下的运用。作者通过逻辑严谨的推导和丰富的例子，使读者能够直观地把握这些抽象概念，例如如何将马丁格尔过程定义为一个随时间变化的不确定性模型，以及如何通过积分方法求解复杂的随机现象。书中还强调了这两门研究的重要交叉点，并探讨了它们在不同学科中的应用场景。例如，金融市场中的期权定价常依赖于马丁格尔过程模型，而在信号处理和统计物理领域，随机积分则被广泛用于描述不确定性和随机现象的行为。通过这些分析，读者不仅可以掌握理论知识，还能理解这些工具如何被实际运用来解决复杂问题。书中还特别注重对每个章节内容的详细解释，确保没有遗漏关键点，同时避免过于简单化，力求覆盖广泛且深刻的主题。整个书籍结构经过精心设计，逻辑清晰，每一部分都紧密关联，为读者提供全面、系统的学习路径。内容丰富，不仅涵盖了理论基础，还结合实际案例，帮助读者更好地理解这些概念背后的意义和应用价值。书中的语言表达专业而通俗，适合希望深入浅出的学习者使用。这本书为那些对现代数学建模和不确定性分析有浓厚兴趣的读者提供了宝贵的参考资料。详尽的章节设计使得每个细节都被精益处理，从基本概念到高级应用，形成完整的知识体系。书中对马丁格尔过程与随机积分关系的阐释，让读者能更清晰地看到两者之间的联系和实际意义。对于希望提升数学思维能力、拓展专业视野的读者来说，这是一本不可或缺的参考书籍。通过系统的讲解，读者不仅能够掌握核心内容，还能培养对复杂概念的深刻理解，从而在相关领域做出更有据可依的分析和决策。这份详尽的介绍无疑将帮助读者全面提升自己的专业水平。