How to write proofs in mathematics | How to write proofs in maths | Math proof writing

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How to write proofs in mathematics? Writing proof in mathematics is the biggest challenge that you face, when you are first encountering a proof based mathematical system. How to write a proof in maths is a question that you must have faced. This video, gives you a complete guideline and a path in your journey of writing mathematical proofs. I have started with what is a mathematical proof and then have explained how a language is related in writing proofs. The conditional statement that you use and the problems in expressing 'and' 'or' in mathematics is also explained. You will find seven important tips through which you can improve your proof writing in mathematics. I have also discussed the common mistakes that happen while writing proofs and how to overcome them. Feel free to comment and I hope that this video will be helpful in your learning of math based proofs. Note, that this is a general video, which, you can use from basic school level geometric proof to topology, differential geometry, real and complex analysis.

00:00 - 01:50 - Introduction
01:51 - 05:52 - What is a mathematical proof?
05:53 - 11:17 - Writing a proof is expressing your ideas
11:18 - 14:48 - Implications of using conditional statements
14:49 - 19:53 - Why writing proof is difficult?
19:54 - 27:08 - Mistakes you make unknowingly while writing
27:09 - 33:12 - Common mistakes made in writing a mathematical proof
33:13 - 40:17 - How to improve writing good mathematical proofs
40:18 - 42:36 - Summary and Conclusion

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My name is Shounak. I teach in a college. My subject of specialization is the general theory of relativity, tensor calculus, and topology. I also teach communicative English.

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