MT Blue

MTB Quant Library

MT Blue is the development team behind this site, from mtblue-nsg.com. We build free educational tools for quantitative mathematics and finance.

A structured reference for rigorous study

MTB Quant Library is a free, self-study collection of written lessons in mathematics — organized into chapters, ordered by progression, and labeled by difficulty. Each subject stands alone: no account, no enrollment, and no assumed course sequence beyond what that subject introduces.

The library spans two tracks. Further Mathematics covers core mathematical theory and methods. Quantitative Finance covers probability, stochastic processes, and time-series tools used in markets and risk. Choose a track below to browse its subjects.

Further Mathematics

Foundational and advanced mathematics — structures, analysis, and methods that stand on their own as rigorous theory, not finance applications.

IncludesLinear Algebra, Calculus, Numerical Methods, Abstract Algebra, Topology, and Discrete Mathematics.

Enter Further Mathematics

Quantitative Finance

Probability, stochastic processes, and time-series tools written for modeling markets, risk, and quantitative decision-making.

IncludesProbability & Statistics, Stochastic Calculus, and Time Series.

Enter Quantitative Finance

Roadmap

Chapters that can be started in either order share a card. An arrow is a true prerequisite — the lower card needs the upper one. Drag to pan, scroll to zoom, or use reset to fit the whole tree. On touch devices, tap a card to see prerequisites, then tap the title again to open.

Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsCalculus
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsLinear Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Further MathematicsAbstract Algebra
Quantitative FinanceTime Series
Quantitative FinanceTime Series
Quantitative FinanceTime Series
Quantitative FinanceTime Series
Quantitative FinanceTime Series
Quantitative FinanceTime Series
Quantitative FinanceTime Series
Quantitative FinanceTime Series
Quantitative FinanceTime Series