Section

Mathematics

The mathematical tools needed to understand physics and electrical engineering, starting with complex numbers. LESSONS IN ITALIAN

Topics

  • Complex numbers 1: definitions and basic operationslesson · in ItalianI numeri complessi 1: definizioni e operazioni fondamentali

    A class of numbers born to take square roots of negative numbers, which turned into a powerful tool for describing physical phenomena and for mathematics itself.

  • Complex numbers 2: Euler’s formula, complex powers and logarithmslesson · in ItalianI numeri complessi 2: formula di Eulero, potenze e logaritmi complessi

    The Euler–Cotes formula, a “jewel” according to Richard Feynman, and its role in waves, quantum mechanics and differential equations. Powers with complex exponents, the exponential and the logarithm.

  • Math in small doses: the sum Σ f(t)Δf(t) and the work–energy theoremlesson · in ItalianMatematica in pillole: la somma Σ f(t)Δf(t) e il teorema delle forze vive

    Notes and short proofs.