Timeline of calculus and mathematical analysis explained

A timeline of calculus and mathematical analysis.

500BC to 1600

\sin(x+\epsilon)

,

\sinx

,

\sinx

,

\cosx

,

\arctanx

and

\pi/4

[6] [7] This theory is now well known in the Western world as the Taylor series or infinite series.[8]

\sin(x+\epsilon)

,

17th century

\theta
\int
0

\sinxdx=1-\cos\theta

,
a
\int
0

xndx=

1
n+1

an+1

,

ln(1+x)

,

\sinx

and

\cosx

(originally discovered by Madhava),

\arctanx

and

\pi/4

(originally discovered by Madhava),

\int

notation for integrals,

18th century

19th century

20th century

Notes and References

  1. Web site: History of the Calculus -- Differential and Integral Calculus . 2022-11-03 . www.edinformatics.com.
  2. Web site: Plummer . Brad . 2006-08-09 . Modern X-ray technology reveals Archimedes' math theory under forged painting . 2022-11-03 . Stanford University . en.
  3. Ossendrijver . Mathieu . Jan 29, 2016 . Ancient Babylonian astronomers calculated Jupiter's position from the area under a time-velocity graph . Science . 10.1126/science.aad8085 . 26823423 . 351 . 6272 . 482–484 . 206644971 .
  4. Web site: On Squares, Rectangles, and Square Roots - Square roots in ancient Chinese mathematics Mathematical Association of America . 2022-11-03 . www.maa.org.
  5. Web site: Conic Sections: A Resource for Teachers and Students of Mathematics . 2022-11-03 . jwilson.coe.uga.edu.
  6. Web site: Weisstein . Eric W. . Taylor Series . 2022-11-03 . mathworld.wolfram.com . en.
  7. August 1932 . The Taylor Series: an Introduction to the Theory of Functions of a Complex Variable . Nature . en . 130 . 3275 . 188 . 10.1038/130188b0 . 1932Natur.130R.188. . 4088442 . 1476-4687. free .
  8. Web site: Saeed . Mehreen . 2021-08-19 . A Gentle Introduction to Taylor Series . 2022-11-03 . Machine Learning Mastery . en-US.