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# G. Euler Circle – Complex Analysis

Square root function and the logarithm function

the Zariski-closed sets

Geometric view of complex functions

• tips: proof techniques, definitions, definitions – links – proof, notations (quantifiers),

q1:

q3: Note that this property is not true for the rational numbers: the set of all rational numbers less than \sqrt{2} has an upper bound that is rational (e.g. 2), but there is no least rational upper bound \big(there are rational numbers less than \sqrt{2} + \epsilon for any \epsilon > 0\big).