Maths

Maths library

A broad mathematics library for computer science and technical practice: arithmetic through discrete math, linear algebra, probability, graphs, optimization, and ML-facing math.

Structure

Content lives under content/ by topic area (numeric parts):

Area	Topics
Foundations	Arithmetic, geometry, pre-algebra, algebra
Core CS math	Discrete math, number theory, graph theory, algorithms & complexity
Continuous / classical	Calculus, linear algebra (+ advanced), statistics, probability (advanced)
Applied / modern	Optimization, ML math, numerical methods, information theory, data-science math

Use the sidebar (HTML) or the generated table of contents for navigation.

How chapters are written

Most chapters include:

• Definitions in plain language + notation
  
• ASCII diagrams (portable in HTML / PDF / EPUB)
  
• Worked examples
  
• Exercises (often with short check answers)
  
• CS / ML maps where relevant

Optional calculator or computer algebra only to check work after a hand solution.

Suggested learning paths

Path A — CS undergrad spine
  Discrete → Number theory → Graphs → Algorithms/complexity
  + Linear algebra → Probability/stats

Path B — ML practitioner
  Linear algebra → Calc (derivatives) → Probability
  → Optimization → ML math → Data-science math

Path C — refresh from zero
  Arithmetic → Pre-algebra → Algebra → Geometry
  then join Path A or B

How to use this book

Format	Role
HTML	Primary — search, dark/light theme
PDF / EPUB	Offline reading when built by the monorepo pipeline

Prerequisites

• Willingness to write definitions and work examples by hand
  
• High-school algebra is enough to start; later chapters build up
  
• Programming snippets (when present) are optional checks, not the core

Related books

Book	Overlap
Go / C	Algorithms, complexity, and numeric code practice
Networking	Graph ideas and addressing as applied math
NixOS	Optional: evaluation/store models (not formal math)

Acknowledgments

Companion textbooks remain useful for extra drill (Rosen, MIT MCS, Concrete Mathematics, standard calc/LA texts). This monorepo is a personal study library, not a substitute for a full university course when you need one.