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Add Comprehensive Discrete Mathematics Content and Resource issue #208#279

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Add Comprehensive Discrete Mathematics Content and Resource issue #208#279
Reaper-ai wants to merge 2 commits into
pushkarscripts:mainfrom
Reaper-ai:main

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Related Issue

Fixes #208


Description

This PR implements the comprehensive, production-ready curriculum files for the Discrete Mathematics course.

The added pages feature highly granular, deeply technical breakdowns for the modules, including:

  • Chapter 0: Comprehensive Course Outline & Syllabi Syncing.
  • Chapter 1: Mathematical Logic and Proofs (Full logical connectives, truth matrices, quantifier edge exceptions, and deductive proof implementations like Direct, Contraposition, Contradiction, and Induction).
  • Chapter 2: Set Theory, Relations, and Functions (Set operations, partition properties, matrix coordinate properties, Posets, Hasse Diagrams, and Functional mapping bijections).
  • Chapter 3: Combinatorics, Number Theory, and Recurrence Relations (PIE probability, Pigeonhole constraints, Extended Euclidean back-substitutions, Diophantine lines, Chinese Remainder systems, and generating series expansions via the Extended Binomial Theorem).
  • Chapter 4: Graph Theory (Handshaking invariants, structural graph operations like joins/Cartesian products, network representations, routing optimization, planarity surface embeddings, and chromatic metrics).
  • Chapter 5: Algebraic Structures (Hierarchical axiomatic sets from Magmas to Groups, modular prime fields, Lagrange subgroup indexes, dual-operation Rings, and Galois fields).

All contents have been fully sanitized to utilize clean <Inline math="..." /> and <Block math="..." /> Next.js client components instead of raw markdown text or native LaTeX symbols to prevent client-side EcmaScript syntax parsing exceptions.


Type of Change

  • Bug fix
  • New feature
  • Documentation update
  • UI/UX improvement
  • Refactor

Screenshots / Demo

image image image

How Has This Been Tested?

  • Verified compilation locally in Next.js Server Components environment.
  • Checked runtime safety against JSX string expression escape parsing errors.

Checklist

  • My code follows the project structure and conventions
  • I have tested the changes locally
  • I have linked the related issue properly
  • I have added screenshots where applicable
  • No existing functionality was broken

AI Usage

  • I have not used AI tools for this contribution
  • I have used AI tools (ChatGPT, Copilot, Claude, etc.) and I have reviewed, verified, and understood all generated code/content before submitting this PR

If AI tools were used, briefly explain how:

Used for automating comprehensive data content drafting, mathematical formula layout transformations into Next.js React component format, and resolving EcmaScript parsing exceptions inside table coordinates.


Additional Notes

⚠️ Limitations:

  • Interactive Quiz Engine Not Implemented: The dynamic <ChapterQuizInline /> components have been omitted from this deployment footprint phase. The core interactive question banks and checking states will be implemented in a subsequent PR

@vercel

vercel Bot commented Jun 11, 2026

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@Reaper-ai is attempting to deploy a commit to the PushkarScripts Team on Vercel.

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[DOCS] Add Comprehensive Discrete Mathematics Content and Resource

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