👉 Bush math, also known as bush calculus or non-standard analysis, is an alternative mathematical framework introduced by mathematician Abraham Robinson in the 1960s to rigorously define and work with infinitesimals, which are quantities smaller than any positive real number but not zero. Unlike traditional calculus, which relies on limits and epsilon-delta definitions to handle infinitesimals indirectly, bush math uses hyperreal numbers that include these infinitesimal quantities directly. This approach allows for a more intuitive and algebraic treatment of calculus concepts, such as differentiation and integration, by treating infinitesimals as actual numbers rather than just limits. Bush math has found applications in various fields, including physics and economics, offering a fresh perspective on calculus that can simplify certain proofs and provide new insights into mathematical problems.
