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The Wizard, Euler's Number (e) part 1

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After Archimedes' constant (π) the number (e) or Euler's number is perhaps the second most famous number in all Mathematics and Physics..It appears numerous occasions in various phenomenons from simple population growth, spread of pandemics, to radioactive decay etc.. So, in General wherever there is growth or decrement based on previous amount, somehow e is embedded there .. I am going to break this topic on two parts..In part one I will try to bring forth the basic properties of e and in second part I would try to explain why does it appear in various real world aspects... Part 1(The Mathematical Sorcery) The journey of begin with the curiosity of one of the Bernoulli brothers (Jacob Bernoulli)                                       Jacob Barnouli  Jacob Bernoulli was interested in Special kind of interest, Compound Interest ..It is a type of interest where each ...