Series expansion

I have found several good external links.

• History/Origin: MacTutor History of Mathematics (university website), also Wikipedia (reliable for basic history of math concepts) or TimesPro blog (commercial, but attributes correctly). MacTutor is better.²³ "Brook Taylor (1685 - 1731) - Biography - MacTutor History of Mathematics"
• Practical Application: GoldenSource article on Taylor Series and Market Data²², or Medium article on Options Trading²¹. GoldenSource seems more professional/relevant for institutional finance.²⁰ "Taylor Series and Market Data - GoldenSource"
• Limitations/Criticisms: FRASER (Federal Reserve Archival System for Economic Research) document, "TAYLOR, BLACK AND SCHOLES: SERIES APPROXIMATIONS AND RISK MANAGEMENT PITFALLS"¹⁹. This is an excellent source for limitations in a financial context. Also FasterCapital blogs¹⁷, ¹⁸ and Medium¹⁶. FRASER is superior.¹⁵ "TAYLOR, BLACK AND SCHOLES: SERIES APPROXIMATIONS AND RISK MANAGEMENT PITFALLS - FRASER"
• Additional Relevant Link: A new method for generating approximation algorithms for financial mathematics applications - Taylor & Francis Online¹⁴. This is an academic paper, highly relevant.¹³ "A new method for generating approximation algorithms for financial mathematics applications - Taylor & Francis Online"

So, the external links will be:

1. MacTutor History of Mathematics (History)
2. GoldenSource (Practical Application)
3. FRASER (Federal Reserve Archival System for Economic Research) (Limitations/Criticisms)
4. Taylor & Francis Online (Practical Application/Methodology)

Now I can proceed with writing the article following all the instructions.

Article Plan:

• TERM: Series expansion
• RELATED_TERM: Numerical methods
• TERM_CATEGORY: Quantitative Finance

LINK_POOL (Internal):

1. Financial modeling
2. Quantitative analysis
3. Option pricing
4. Bond valuation
5. Risk management
6. Derivatives
7. Volatility
8. Interest rate risk
9. Taylor series
10. Approximation
11. Valuation models
12. Financial engineering
13. Numerical methods
14. Black-Scholes model
15. Stochastic processes

Now, I will construct the article.^{123456789101112}