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how to learn mathematical proofs. These proof techniques are introduced using the context of number theory. Proposition after proposition proof after proof.
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Unfortunately students in high school geometry are usually taught to think of a proof as a numbered list of statements and reasons a view of a proof that is too restrictive to be very useful. You must first determine exactly what it is you are. Proposition after proposition proof after proof.
To use the ideas of abstraction and mathematical proof.
The first time a variable appears whether in the initial statement of what you are proving or in the body of the proof you must state what kind of variable it is for example a scalar an integer a vector a matrix and whether it is universally or existentially quantified. Mathematics is also a cornerstone of the sciences which in turn provide a profoundly useful way to understand and interpret the world around us. You must first determine exactly what it is you are. Begin the proof with Assume that a 0 and b 0.
