In this video you'll learn where one of the most famous numbers in mathematics comes from: Euler's number e, how it is related to exponential growth and has a wide variety of applications. #calculation #euler CHAPTERS: 00:00 Introduction 00:27 The interest problem 07:00 Your money doesn't grow infinitely... 09:13 Definition of Euler's number or the number e 11:02 Why is this number important? Is it of any use? It takes me quite a bit of time to create these videos. If you want to help me continue creating content on YouTube, I invite you to support me on PATREON and ACCESS EXCLUSIVE BENEFITS: / bluedot96 Follow me on Twitter: / bluedot96 Follow me on Facebook: / bluedot1196 Follow me on Instagram: / pauloch96 I RECOMMEND THESE VIDEOS: WHAT IS THE DERIVATIVE?: • The DERIVATIVE changed EVERYTHING ???? WHAT is... WHAT IS THE INTEGRAL?: • What is the INTEGRAL? MEANING of... THE INTEGRAL FROM SCRATCH: • This THEOREM CHANGED EVERYTHING ???? WHAT IS... DIFFERENTIATION: • This IDEA OF NEWTON FOUNDED the BASIS... RULES OF DERIVATION: • The UNKNOWN side of the DERIVATIVE ????... WHAT IS CALCULUS?: • Why did CALCULUS CHANGED EVERYTHING?... WHAT IS A LIMIT?: • A FANTASTIC INTRODUCTION to LIMITS... FORMAL DEFINITION OF LIMIT EXPLAINED IN DETAIL: • WHAT IS THE LIMIT OF A FUNCTION? ▶OF... LIMIT PROPERTIES: • WHAT IS behind the FAMOUS PROPERTIES... WHAT IS OPTIMIZE?: • Why SHOULD YOU LEARN OPTIMIZATION... WHERE DO SIN, COS AND TAN COME FROM?: • REALLY UNDERSTANDING WHAT SIN, COS... UNDERSTANDING SIN, COS AND TAN: • UNDERSTANDING the SIN, COS AND TAN FUNCTIONS You can support the making of more videos of this style by being a MEMBER OF THE CHANNEL, with your help I will be able to make more videos until I complete a playlist with university mathematics from the most basic to the most complex through animations! ************************************************************************************************* The animations in this video were made with Manim (Mathematical animation), a library for Python created by Grant Sanderson (3Blue1Brown). Personally, I find it a very useful tool to better explain many concepts in a visual way. If you are interested, here is the link to the Manim library for Python: https://github.com/3b1b/manim VIDEOS: PEXELS Without further ado, thank you for your attention and see you in the next video