⚡ Flügel Mathematics

The Definitive First-Principles Interactive Mathematics Treatise for IIT-JEE (Advanced), RMO/INMO Olympiads & ISI/CMI Entrance.

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🏛️ Curriculum Overview

Flügel Mathematics is structured into three comprehensive volumes:

• Volume 1: Advanced Algebra & Number Systems (/algebra/)

  • Complex Numbers & Argand Geometry
  • Theory of Equations & Polynomials
  • Sequences, Series & Telescoping Sums
  • Permutations, Combinations & Binomial Theorem
  • Matrices & Determinants
  • Probability & Random Variables
  • Inequalities, Modulus & Logarithms

• Volume 2: Differential & Integral Calculus (/calculus/)

  • Functions, Relations & Functional Equations
  • Limits, Continuity & Differentiability
  • Application of Derivatives & Monotonicity
  • Indefinite Integration & Standard Forms
  • Definite Integrals & Leibniz Rule
  • Differential Equations & Area Under Curves

• Volume 3: Coordinate Geometry & Vectors (/coordinate-geometry/)

  • Straight Lines & Pair of Lines
  • Circles & System of Circles
  • Conic Sections: Parabola, Ellipse & Hyperbola
  • Vector Algebra & Multi-Products
  • Three-Dimensional (3D) Geometry
  • Trigonometry & Inverse Trigonometric Functions

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🛠️ Interactive Student Suite

• Student Toolkit: 80/20 High-Yield Roadmaps, Integral Substitution Finder, Curve Gallery, and Sign Rules.
• High-Score Hub: Formula Flashcards, Mathematical Fallacy & Proof Flaw Radar, Option Elimination Tactics, 60-Second Quick Derivation Sprints, and Formula Tracker.
• Visual Lab: Interactive Riemann Sum Sandbox, Curve Workbench, and Geometric Simulators.

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🚀 Local Development

# Install dependencies
npm install

# Run VitePress development server
npm run docs:dev

# Build production bundle
npm run docs:build

# Preview production build locally
npm run docs:preview

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📄 License & Errata

• Copyright: © 2026 Flügelsoft Labs. All Rights Reserved.
• Errata & Feedback: mathematics@flugelsoft.com