Foundations of Quantitative Finance, Book I: Measure Spaces and Measurable Functions: Book I: Measure Spaces and Measurable Functions

The first book in the Foundations in Quantitative Finance Series develops topics in measure spaces and measurable functions, laying the foundation for subsequent volumes. It is dedicated to a specific area of mathematics or probability theory, with applications to finance relevant to the needs of professionals. The series is extensively self-referenced, allowing readers to enter at any point or topic and work backward to identify and fill in needed details.

Format: Hardback
Length: 300 pages
Publication date: 27 July 2022
Publisher: Taylor & Francis Ltd

This groundbreaking series of 10 books is specifically crafted for professionals in the field of quantitative finance, bridging the gap between informal mathematical developments found in introductory materials and more advanced treatments that provide summaries without fully developing the essential foundational results that professionals require.

Book I, the first installment in this series, delves into the realm of measure spaces and measurable functions, laying the groundwork for the subsequent volumes. It introduces the fundamental concepts of Lebesgue and Borel measure theory on the real number ℝ, providing a motivating framework for the general extension theory of measure spaces that follows. This comprehensive theory is then applied to diverse areas such as finite product measure spaces, Borel measures on ℝn, and infinite-dimensional product probability spaces.

The overarching objective of these books is to present a comprehensive and detailed development of the diverse mathematical theories and results encountered in popular finance and quantitative finance resources. Each book is dedicated to a specific area of mathematics or probability theory, with applications to finance that are directly relevant to the needs of professionals. Whether you are a practicing professional, an academic researcher, or a student seeking to advance your knowledge in quantitative finance, these books are invaluable to your career development.

One of the key features of this series is its extensive self-referencing capability. Each book is designed to allow readers to enter the collection at any point or topic of interest, and then proceed backward to identify and fill in any necessary details. This approach is particularly beneficial for a course or self-study on a particular volume, with earlier books serving as valuable references for further exploration.

In contrast to many advanced quantitative finance books, which tend to focus on comprehensiveness without necessarily prioritizing the efficient curation and development of the theories necessary for applications in quantitative finance, this book and its series of volumes stand out. They provide a comprehensive and systematic approach to the subject matter, ensuring that readers have a solid foundation in the theories and results required for practical applications in the field.

By offering a comprehensive and rigorous treatment of quantitative finance, this series aims to empower professionals with the tools and knowledge they need to excel in their careers. Whether you are seeking to deepen your understanding of fundamental concepts, apply advanced techniques to real-world problems, or stay ahead of the curve in a rapidly evolving industry, these books are an essential resource for your journey in quantitative finance.

Weight: 750g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032191201