New posts in Nonstandard Analysis

Trouble understanding how the Transfer Principle is applied for the Extreme Value theorem.

Which branch of mathematics rigorously defines infinitesimals?

Relationship between nonstandard analysis and nonstandard models of arithmetic

Differential form vs Hyperreal vs Dual number

What are hyperreal numbers? (Clarifying an already answered question)

Which are the mathematical problems in non-standard analysis? (If any)

Dedekind completion of ordered fields

Basic Geometric intuition, context is undergraduate mathematics

Are there non-standard counterexamples to the Fermat Last Theorem?

What is the use of hyperreal numbers?