👉 Ny math, or non-standard analysis, is a branch of mathematics that extends the real number system by introducing infinitesimals—numbers that are smaller than any positive real number but not zero. This approach, pioneered by Abraham Robinson in the 1960s, allows for a more intuitive understanding of calculus concepts like limits and derivatives by directly working with these infinitesimals rather than relying on epsilon-delta definitions. Unlike traditional calculus, which often treats infinitesimals as "infinitely small" quantities that vanish, non-standard analysis formalizes them as actual numbers within a larger hyperreal number system. This framework provides rigorous tools to analyze functions and sequences, simplifying proofs and offering new insights into mathematical structures. While controversial in some circles due to its departure from standard real analysis, it has enriched fields like mathematical physics and provides a powerful alternative for teaching and research, making calculus more accessible through concrete, intuitive reasoning.
