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Further Mathematics

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

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

Subjects

20 chapters

Linear Algebra

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

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20 chapters

Calculus

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

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7 chapters

Numerical Methods

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

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22 chapters

Abstract Algebra

Groups, rings, fields, and the structural foundations of modern algebra.

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0 chapters

Topology

Open sets, continuity, compactness, and the geometry of spaces up to deformation.

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0 chapters

Discrete Mathematics

Logic, combinatorics, graph theory, and the mathematics of finite structures.

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