MTB Library & Learn

Quantitative Mathematics

A structured reference for quantitative finance and applied mathematics — built for rigorous study.

Topics

20 of 20 chapters

Linear Algebra

Vectors, matrices, eigenvalues, decompositions, and their applications in quantitative finance.

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10 chapters

Calculus

Limits, derivatives, integrals, multivariable calculus, and optimization for financial modeling.

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10 chapters

Probability & Statistics

Sample spaces, distributions, expectation, inference, and hypothesis testing.

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8 chapters

Stochastic Calculus

Brownian motion, Itô calculus, SDEs, and the mathematical foundations of derivatives pricing.

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7 chapters

Numerical Methods

Algorithms for root finding, interpolation, integration, and matrix computation.

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6 chapters

Time Series

Stationarity, ARIMA, GARCH, cointegration, spectral analysis, and Kalman filtering.

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