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Here we translate first-year university mathematics directly into executable Python. Fundamental arithmetic identities, algebraic manipulations, inequalities, and absolute-value reasoning are algorithmically verified, while function theory is visualised through programmatic graphing and limit exploration. The chapter culminates in a NumPy-backed treatment of matrices, determinants, eigen-analysis, and linear-system solvers, creating a bridge between symbolic reasoning (SymPy) and high-performance numerical linear algebra that recurs throughout the book.

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Mathematical Foundations in Python

  • 章节

  • 发表日期：

    2026年

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  • Pradeep Singh,
  • Balasubramanian Raman

摘要

Here we translate first-year university mathematics directly into executable Python. Fundamental arithmetic identities, algebraic manipulations, inequalities, and absolute-value reasoning are algorithmically verified, while function theory is visualised through programmatic graphing and limit exploration. The chapter culminates in a NumPy-backed treatment of matrices, determinants, eigen-analysis, and linear-system solvers, creating a bridge between symbolic reasoning (SymPy) and high-performance numerical linear algebra that recurs throughout the book.