Скачать или смотреть Examples of Proof by Induction -- How to do Mathematical Proofs (PART 9)

This is the seventh main video on a series of videos on: How to do mathematical proofs. The course is structured in such a way to make the transition from applied-style problems in mathematics (sometimes referred to as engineering mathematics) to pure mathematics much smoother.

The course will cover the basic ideas and notions of logic, such as the definition of a proposition and premise, what deductive and inductive reasoning is, and the four standard methods of proofs: direct proofs, proofs by contradiction, contrapositive arguments, and proofs by induction.

Notes for the course are available here: https://s3.us-west-2.amazonaws.com/se...

Other videos in this series:
Part 1 -- How to do mathematical proofs --    • How to do mathematical proofs -- Introduct...  
Part 2 -- Mathematical Notation --    • Mathematical Notations -- How to do mathem...  
Part 3 -- Basics of Mathematical Logic --    • Basics of Mathematical Logic -- How to do ...  
Part 4 -- Negations and Quantifiers --    • Negations and Quantifiers -- How to do mat...  
Part 5 -- Basic Methods of Proof --    • Basic Methods of Proof -- How to do mathem...  
Part 6 -- Direct Proof Examples --    • Direct Proof Examples -- How to do mathema...  
Part 7 -- Proof by Contradiction Examples --    • Examples of Proof by Contradiction -- How ...  
Part 8 -- Proof by Contraposition Examples    • Examples of Contrapositive Proofs -- How t...  
Part 9 -- Proof by Induction Examples --    • Examples of Proof by Induction -- How to d...  
Part 10 -- Advice on Learning Mathematical Proofs --    • Advice on learning mathematical proofs -- ...  


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These videos are separate from my research and teaching roles at the Australian National University, University of Sydney, and Beijing University.

These videos are made using the open-source library -- Manim -- created by 3blue1brown: https://github.com/3b1b/manim