Download Citation: Williams, D. (2014). Probability with Martingales. Cambridge University Press. Chapter Summary: PrefaceThe preface emphasizes the importance of exercises in understanding the material and explains the structure of the book. It highlights the necessity of measure theory in probability...

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Download Citation Øksendal, B. (2013). Stochastic Differential Equations: An Introduction with Applications (6th ed., corrected printing). Springer-Verlag. https://doi.org/10.1007/978-3-642-14394-6 Chapter Summary Introduction The book begins by motivating the study of stochastic differential equations (SDEs) through various practical problems where randomness plays...

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Download Citation: Resnick, S. I. (2005). Adventures in stochastic processes. Birkhäuser Boston. Chapter Summary Introduction: Sidney I. Resnick’s Adventures in Stochastic Processes provides a comprehensive and detailed exploration of various stochastic processes, fundamental concepts, and their applications. The book is...

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Download APA Citation Björk, T. (2020). Arbitrage Theory in Continuous Time (4th ed.). Oxford University Press. https://doi.org/10.1093/oso/9780198851615.001.0001 Chapter Summary Chapter 1: Introduction Introduces the concept and significance of arbitrage theory in finance, focusing on pricing models for financial derivatives like...

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Download Citation: Mitzenmacher, M., & Upfal, E. (2017). Probability and Computing: Randomization and Probabilistic Techniques in Algorithms and Data Analysis (2nd ed.). Cambridge University Press. Chapter Summary: Chapter 1: Events and Probability Discusses fundamental probability concepts and introduces applications like...

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Download Citation: Vazirani, V. V. (2011). Approximation Algorithms. Springer. Chapter Summary: Chapter 1: Introduction Outlines the basics of approximation algorithms, emphasizing their importance in dealing with NP-hard problems where exact solutions are computationally prohibitive. It lays the foundation for understanding...

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Download Citation: Williamson, D. P., & Shmoys, D. B. (2011). The Design of Approximation Algorithms. Cambridge University Press. Chapter Summary: Chapter 1: Introduction to Approximation Algorithms Discusses the basics of approximation algorithms, focusing on their need and utility in solving...

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