Brook Taylor: The Inventor of Taylor Series! (1685–1731)Brook Taylor скачать в хорошем качестве

Brook Taylor: The Inventor of Taylor Series! (1685–1731)Brook Taylor

Brook Taylor: The Inventor of Taylor Series! (1685–1731) Welcome to History with BMResearch! In this documentary, you will explore the life and legacy of Brook Taylor, the British mathematician who invented the famous Taylor Series… Learn how his ideas revolutionized calculus, helped scientists model motion, and influenced the Royal Society… You will see how Taylor’s work, once underappreciated, became a foundation for physics, astronomy, and engineering… This journey includes Taylor’s quiet conflict with Newton, his breakthroughs in perspective drawing, and his timeless impact on how we understand change and approximation… Discover how the Taylor Series helps explain everything from planetary orbits to modern technology… With insights into his biography, contributions to the Royal Society, and the lasting power of infinite approximations, this story celebrates one of the unsung heroes of mathematics… Don’t forget to comment below to share your thoughts and feedback on Brook Taylor’s brilliant journey… 0:00 - Intro & Bernoulli legacy 5:38 - Early life & education 11:16 - Family tensions 16:54 - Journey to Russia 22:32 - Scientific work abroad 28:10 - Hydrodynamica begins 33:48 - Rivalry with father 39:26 - Fluid motion experiments 45:04 - Rise of Bernoulli’s principle 50:42 - Work in probability 56:20 - Medical applications 1:01:58 - Teaching & academic life 1:07:36 - Global scientific influence 1:13:14 - Family of scholars 1:18:52 - Legacy & final years SOURCES Ball, W. W. R. (1908). A short account of the history of mathematics. Boyer, C. B. (1991). A history of mathematics. Grattan-Guinness, I. (1997). The Fontana history of the mathematical sciences. Katz, V. J. (2009). A history of mathematics: An introduction. Kline, M. (1972). Mathematical thought from ancient to modern times. Rouse Ball, W. W. (1960). Mathematics: Its content, methods, and meaning. Struik, D. J. (1987). A concise history of mathematics. #BrookTaylor, #TaylorSeries, #HistoryOfMathematics, #MathLegends, and #CalculusOrigins guide this fascinating journey… Image credit By Hans Hysing - Art UK, Public Domain, https://commons.wikimedia.org/w/index... Disclaimer This video is for educational and informational purposes, covering biographies, history, and business insights. Based on scientific research, historical records, and expert analysis, it aims to share knowledge and encourage curiosity. We respect diverse beliefs, cultures, and perspectives. The content is neutral, relying on credible sources, and not intended to challenge personal views. The AI-generated voiceover is for narration and does not represent any real person. AI-generated images are artistic interpretations for illustration, not exact representations—refer to expert studies for accuracy. While we strive for accuracy, details may not be exhaustive. Viewers should verify important information and seek professional advice where needed.