Mathematical Dictionaries

A concise reference for mathematical analysis, linear algebra, and ordinary differential equations

Author

Affiliation

Enrico Bertolazzi

University of Trento, Department of Industrial Engineering

Welcome

This publication brings together three concise mathematical dictionaries. Each chapter is designed as a quick reference: definitions, equivalences, factorizations, and theorems are collected in a compact, searchable format.

• Mathematical Analysis (PDF · LaTeX): limits, continuity, differentiability, Lipschitz regularity, Taylor expansions, and asymptotic notation.
• Linear and Numerical Linear Algebra (PDF · LaTeX): vector and matrix norms, matrix classes, factorizations, pseudoinverses, least-squares problems, conditioning, and stability.
• Ordinary Differential Equations and Systems (PDF · LaTeX): scalar ODEs, systems, existence and uniqueness, flows, sensitivities, stability, boundary-value problems, and qualitative theory.

The formulas and mathematical structure follow the original Italian notes; all explanatory text has been translated into English for this edition.