Discrete Math Lecture 03 Methods Of Proof Ppt Discrete math lecture 03: methods of proof. feb 27, 2016 • download as ppt, pdf •. 18 likes • 24,007 views. it engineering department. follow. now we have learnt the basics in logic. we are going to apply the logical rules in proving mathematical theorems. 1 direct proof 2 contrapositive 3 proof by contradiction 4 proof by cases. read more. Section 1.5 methods of proof 1.5.9 mathematical proofs (indirect) def: an indirect proof uses rules of inference on the negation of the conclusion and on some of the premises to derive the negation of a premise. this result is called a contradiction. example 1.5.6: a theorem if x2 is odd, then so is x. proof: assume that x is even (neg of concl).
Discrete Math Lecture 03 Methods Of Proof Ppt Follow. the document discusses arguments and methods of proof in discrete mathematics. it begins by defining an argument as a series of propositions that build to a conclusion. an argument is valid if the conclusion necessarily follows from true premises. the document then provides examples of valid and invalid argument forms. Primenumbers definitions a natural number n isprimeiff n > 1 and for all natural numbersrands,ifn= rs,theneitherrorsequalsn; formally,foreachnaturalnumbernwithn>1, nisprime⇔∀naturalnumbersrands,ifn= rs. Methods of proof (discrete math) free download as powerpoint presentation (.ppt), pdf file (.pdf), text file (.txt) or view presentation slides online. 1. the document discusses different proof techniques in mathematics including direct proof, proof by contradiction, proof by contrapositive, and proof by cases. 2. examples are provided for. Download ppt "module #2: basic proof methods". nature & importance of proofs discrete mathematics and its applications 5 20 2019 nature & importance of proofs in mathematics, a proof is: a correct (well reasoned, logically valid) and complete (clear, detailed) argument that rigorously & undeniably establishes the truth of a mathematical statement.
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