mathematical proof is an argument that demonstrates why a mathematical statement is true, following the rules of mathematics. What terms are used in this proof? What do they formally mean? theorem mean? Why, intuitively, should it be true? What is the standard format for writing a proof? What are the techniques for doing so?
BASIC MATH PROOFS. The math proofs that will be covered in this website fall under the category of basic or introductory proofs. They are considered “basic” because students should be able to understand what the proof is trying to convey, and be able to follow the simple algebraic manipulations or steps involved in the proof itself.
A proof in mathematics is a convincing argument that some mathematical statement is true. A proof should contain enough mathematical detail to be convincing to the person(s) to whom the proof is addressed.
Throughout this course, you will be asked to “prove” or “show” certain facts. As such, you should know the basics of mathematical proof, which are explained in this document.
A proof is a series of statements, each following logically from the previous, to reach the conclusion – using only the hypotheses, definitions, and known true statements. Example of a Theorem and Proof