[Review] Mathematics for Finance: An Introduction to Financial Engineering (Marek Capiński) Summarized.

Mathematics for Finance: An Introduction to Financial Engineering (Marek Capiński)

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Mathematics for Finance: An Introduction to Financial Engineering by Marek Capiński and Tomasz Zastawniak is an undergraduate textbook in mathematical finance, published in the Springer Undergraduate Mathematics Series. Its purpose is to introduce the mathematical foundations behind modern financial engineering without assuming advanced graduate preparation. The book builds from models of bonds and stocks toward three central areas of the field: arbitrage pricing of derivatives, portfolio selection and asset pricing, and the term structure of interest rates. It is written for readers who already know basic calculus and probability, but it does not treat finance as a purely computational subject. Instead, it connects financial concepts such as risk, return, discounting, and hedging to precise mathematical reasoning. The result is a compact introduction that explains how abstract models can be used to understand option prices, investment decisions, and interest rate behavior in markets.