The method of integration can be traced back to the Egyptians, in the Moscow Mathematical Papyrus circa 1800 BC, which gives the formula for finding the volume of a pyramidal frustrum.[1] Greek geometers are credited with a significant use of infinitesimals. Democritus is the first person recorded to consider seriously the division of objects into an infinite number of cross-sections, but his inability to rationalize discrete cross-sections with a cone's smooth slope prevented him from accepting the idea. At approximately the same time, Zeno of Elea discredited infinitesimals further by his articulation of the paradoxes which they create. Antiphon and later Eudoxus are generally credited with implementing the method of exhaustion, which made it possible to compute the area and volume of regions and solids by breaking them up into an infinite number of recognizable shapes. Archimedes developed this method further, while also inventing heuristic methods which resemble modern day concepts somewhat. (See Archimedes' Quadrature of the Parabola and Archimedes on Spheres & Cylinders.) It was not until the time of Newton that these methods were made obsolete. It should not be thought that infinitesimals were put on rigorous footing during this time, however. Only when it was supplemented by a proper geometric proof would Greek Mathematicians accept a proposition as true. (See Archimedes' use of infinitesimals.) The method of exhaustion was rediscovered in China by Liu Hui in the 3rd century AD, who used it to find the area of a circle. It was also used by Zu Chongzhi in the 5th century AD, who used it to find the volume of a sphere.[1]
Basic Derivative
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Created Date: 2007-03-03 03:03:03
Last Update: 2007-06-15 22:43:05
Comment: 3
ขอตัวเยอะก่านี้ได้มิคับ
APC
2009-11-20 23:53:02
Comment: 2
ก็ต้องนำคำตอบที่ได้มา div ต่ออีกทีครับ แต่ต้องใช้ div ผลคูณ คือ (หน้าดิฟหลัง + หลังดิฟหน้า) ลองดูนะครับ
ถ้างงว่า div ผลคูณทำไงก็ http://www.thaicalculus.com/ex_template.php?id=21 ตามนี้ได้เลยครับ
Surachai U.
2008-07-05 01:53:21
Comment: 1
การหา อนุพันธ์ อันดับ สอง ทำยังไง คับ
ต้อม
2008-07-04 12:57:55
-   1
In calculus, a branch of mathematics, the derivative is a measurement of how a function changes when the values of its inputs change. The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point. In higher dimensions, the derivative of a function at a point is a linear transformation called the linearization.