## Applied and Engineering MathematicsIncludes texts that are focused on applied mathematics such as control theory, dynamical systems, queueing theory, reliability theory, signal processing, and finite element methods. |
## FundamentalsTexts that discuss the foundations of most mathematics: calculus, logic, set theory, and trigonometry |
## Recreational MathematicsBooks with puzzles, problems, and general curiosities |

## AlgebraModern/abstract algebra, category theory, linear algebra, and matrix theory |
## GeometryOne of the broadest topics in mathematics with many flavors: algebraic, differential, Euclidean, non-Euclidean... |
## Rudimentary MathematicsIncludes mathematics at the primary and secondary levels such as arithmetic and basic algebra |

## AnalysisTexts in calculus of variations, complex analysis, functional analysis, numerical analysis, real analysis, and general mathematical analysis |
## Number TheoryTexts full of the study of numbers, both basic and quite advanced |
## Statistics and Data ScienceWorks practical and theoretical in computational statistics, design of experiments, linear models, nonparametric statistics, Bayesian statistics, theoretical statistics, inference, and time series analysis |

## Differential and Integral EquationsTheoretical and applied differential equations, partial differential equations, and integral equations |
## ProbabilitySeparated from statistics, this includes the study of probability from algebraic, analytic, and geometric perspectives, as well as stochastic analysis and stochastic processes. |
## TopologyA branch of mathematics so fundamental it needs its own category. |

## Discrete MathematicsIncludes Boolean mathematics, combinatorics, cryptography, and graph theory |

## Aerospace and Mechanical EngineeringCovers many aspects of mechanical and aerospace engineering, including FEM, structural analysis, flight dynamics, etc. |
## Civil Engineeringtraffic engineering, roads, bridges and environmental engineering |
## Materials EngineeringBooks discussing materials and their properties, and their uses |

## Acoustics and Radio Engineeringthe engineering side of signal processing, radio hardware, and the study of sound |
## Electrical EngineeringCircuits, power generation, control, motors, electrical hardware |
## Network and Industrial EngineeringInventory management, computer networks, supply chain management, optimization |

## Chemical EngineeringFluid dynamics, water treatment, and other chemical engineering topics |
## Operations ResearchOptimization of manufacturing and business operations |
## Systems Engineering"Meta-engineering" |