mathematician who discovered polynomials

Remez inequality - In mathematics the Remez inequality, discovered by the Ukrainian mathematician E. J. Remez in 1936, gives a bound on the sup norms of certain polynomials, the bound being attained by the Chebyshev polynomials. The inequality Let σ be an arbitrary fixed positive number. Define the..

Taylor's theorem - In calculus, Taylor's theorem gives a sequence of approximations of a differentiable function around a given point by polynomials (the Taylor polynomials of that function) whose coefficients depend only on the derivatives of the function at that point. The theorem also gives precise estimates on the size of the error in the approximation. The theorem is named after the mathematician Brook Taylor, who stated it in 1712, though the result was first discovered 41 years earlier in 1671 by James Gregory. Taylor's theorem asserts that any sufficiently smooth function can locally be approximated by polynomials. A simple example of application of Taylor's theorem is the approximation of the exponential function e x near x = 0: The approximation is called the n-th order Taylor approximation to e x because it approximates the value of the exponential function by a polynomial of degree n. This approximation only holds for x close to zero, and as x moves further aw....

1996 Adams - 1996 Adams is the name of an asteroid that was discovered at Goethe Link Observatory near Brooklyn, Indiana by the Indiana Asteroid Program. It is named in honour of John Couch Adams, British mathematician and astronomer who, simultaneously with Urbain Le Verrier, predicted the existence..

Polynomial - These characterisations of the roots of arbitrary polynomials are generalisations of the methods previously discovered to solve the quintic equation. Graphs. A polynomial function .....

  mathematicians who were involved in the discovery & developement of po..   In math were going over the multiplication of polynomials and im to lazy to do the work, so i make the computer do it for me using some algorythms in c++, and some arrys

  HD1   Tartaglia (1499-1557), an Italian mathematician who was an early pioneer in the development of the concept of what are now called 'imaginary' numbers. Tartaglia was one of the first to find solutions to third-order polynomials, but his solutions often involved taking the square roots of negative numbers. This was quite revolutionary in an era where the existence of negative numbers was considered dubious. The fact his solutions worked led to further investigations of the properties of ...

Question : What is the distinction between the Taylor Series and the Taylor Polynomial? What are the restrictions on Taylor / MacLaurin Series'? What criteria must be met for a MacLaurin Series to be solved for if a Taylor Series is possible? How would you explain to someone the train of thought and the progress in mathematics that took one mathematician from Taylor Series into and beyond the MacLaurin Series? How did all this happen? I understand the math... I just dont understand the chronology ..

Answer : I think I understand your confusion. Perhaps a fellow mathematician can answer this better or correct me. Because I really dont know... I have a vague understanding, myself, as I have just been introduced to these subjects. I barely know calculus. Anyway... you say you understand the proof for Taylor expansions... okay. Realize, now, that ALL expansions form an infinite series. Its just that for most polynomials with 'normal' terms, the exponent reduces. Eventually, given enough differentiation, a function becomes a constant... and then a zero. This forces the terms beyond a certain point and into infinity to become zero. That cancels them out completely and reduces the size of the polynomial to a given number of terms. I dont know what makes some infinite and some not... but any regular polynomial is its own Taylor expansion. And any function whose derivative is unchanging (like e^x) or whose derivative is cyclic (like sin x) makes no progress at reduction and therefo..

Question : I can't find anything!!!!!!!!!!!!!!!!!

Answer : I searched in Yahoo using the quotes as shown for: 'math history' cubic equations http://www.math10.com/en/maths-history/history3/solution-cubic-quartic-equations1.html In the 16th century in Italy, there occurred the first progress on polynomial equations beyond the quadratic case. The person credited with the solution of a cubic equation is Scipione del Ferro (1465-1526), who lectured in arithmetic and geometry at the University of Bologna from 1496 until 1526.

Question : Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? What is an example of a radical expression?

Answer : Radical expressions act like indeterminants. If you have a simple expression like: 1/ ( (3) + (5) ) and you want to add it to: 1 / ( (3) + 7 ) it is very hard. You have to find a messy common denominator and do all sorts of junk. What a pain. But if you have: (3/8) 5 + (1/4) (3) and you wanted to add this to: (1/4) 5 + (1/8) (3) That's easy. Just add up the coefficients: 3/8 + 1/4 = 5/8 1/4 + 1/8 = 3/8 (5/8) 5 + (3/8) (3) SO this is similar to adding polynomials because the radicals act like placeholders. In fancy math talk, extending rational numbers to include radical expressions forms a vector space with basis of the radical expressions. If you don't know what that means, ignore it. So like polynomials, you have placeholders. Unlike polynomials, if you are working with (2) and (5), you may also encounter (10), but nothing else. You cannot obtain (3), and (2) becomes rational (for a polynomial, x is just a..