Taylor series | Chapter 11, Essence of calculus

This video is from the 3Blue1Brown channel on YouTube and discusses Taylor series. The title of the video is "Taylor series | Chapter 11, Essence of calculus," and it was published on May 7, 2017. It falls under the education category and has been viewed over 3,757,837 times. Summary of the video: - The video begins by explaining the importance of Taylor series in mathematics, physics, and engineering. - The presenter explains how Taylor series can be used to approximate non-polynomial functions. - The video examines how to find polynomial approximations for the cosine function (cos(x)) near x=0. - It is explained how higher-order derivatives can be used to create more accurate approximations for functions. - The video also explores polynomial approximations for other functions like e^x and ln(x). - Finally, the importance and applications of Taylor series in solving problems in physics and engineering are highlighted. This video is highly beneficial for those interested in learning fundamental concepts in calculus and their practical applications in solving real-world problems.