## Mathematical Minimum (for Aspiring Physicists)

### Mathematical Termiinology

Some of the terminologies fundamental to mathematics are list below :

• Axiom - An assumption to be taken as unproven fact (often because it is so obvious, same as postulate).
• Theorem - A statement deduced from a specific axiom system or other theorems.
• Lemma - It is used to prove a theorem but not that interesting or important.
• Corollary - It is a special case of a more general theorem.
• Conjecture - It is the same as hypothesis, which is an unproven suggestion based on substantial evidence.
• Theory - Statements devised to explain a group of facts or phenomena. It usually starts out as hypothesis and matures gradually with supporting evidences.
• #### Figure 14 Mathematics [view large image]

• Equation - A mathematical sentence to equate two things together.
• Formula - An expression used to calculate something.

See "Mathwords" for more mathematical terminology.

Finally, Group Theory is also a prerequisite for studying modern physics. It doesn't hurt to learn something about "statistics" too.

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