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Combinatorial & Discrete Mathematics in Finance: A Practical Guide to Portfolio Optimization, Algorithmic Trading, and Risk Modeling
Paperback
Series: Mathematical Foundations of Quantitative Finance, Book 1
Publisher: Independently Published
Published: Mar 1 2025
Pages: 320
Weight: 0.95
Height: 0.67 Width: 6.00 Depth: 9.00
Language: English
Modern financial markets are built on discrete structures, combinatorial algorithms, and advanced mathematical models. From portfolio optimization and risk modeling to algorithmic trading and derivatives pricing, combinatorial and discrete mathematics provide the essential tools for financial decision-making in high-frequency trading, cryptography, and market simulations.
This comprehensive guide bridges theory and real-world applications, giving you the mathematical tools needed to solve complex financial problems using graph theory, optimization techniques, and algorithmic strategies.
What You'll Learn:Graph Theory & Market Networks - Analyze financial connections, systemic risk, and capital flows
Combinatorial Portfolio Optimization - Leverage integer programming and dynamic programming for asset allocation
Game Theory & Decision Trees - Apply combinatorial strategies to auctions, pricing models, and market competition
Lattice Models & Binomial Trees - Discrete-time pricing for options, derivatives, and risk-neutral valuation
Algorithmic Trading & Order Book Optimization - Use combinatorial methods for optimal trade execution
Cryptography & Blockchain in Finance - Secure transactions with elliptic curve cryptography and zero-knowledge proofs
Python Implementations & Case Studies - Hands-on coding with NetworkX, SciPy, and NumPy
Traders & Quantitative Analysts - Use discrete math for systematic trading and high-frequency strategies
Portfolio Managers & Risk Analysts - Optimize asset allocation using combinatorial techniques
Data Scientists & AI Researchers - Apply combinatorial methods to machine learning and predictive analytics
Students & Academics in Finance & Math - Gain a deep understanding of discrete structures in financial modeling
With clear explanations, real-world case studies, and hands-on Python examples, this book transforms combinatorial and discrete mathematics into powerful tools for financial decision-making.
Master the math behind modern finance-get your copy today!
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