Hist of Math pt 3

Who wrote the first complete mathematical work by a woman that is in existence today?

Maria Agnesi

Who wrote the first surviving mathematical text by a woman

Maria Agnesi

What did Newton call his method of Calculus

Method of Fluxions

Which statistical method was formulated by Gauss while he was in prep school?

Method of least squares

Given a point P that is on line l. According to Playfair's postulate, how many lines that pass through P are parallel to l?

One and only one

What was the motto on Gauss's unofficial coat of arms?

Pauca Sed Matura

Which of these Stantements is Not equivalent to the parallel postulates?

Pythagorean Theorem

Which mathematician used the letters at the end of the alphabet to represent unknown quantities and the letters at the beginning of the alphabet to represent known quantities or constants?

Rene Descrartes

What is "Syncopated" Algebra

Shorthand of writing algebraic expressions using abbreviations

Which Mathematician was the daughter of the British Poet, Lord Byron, and wrote about how to prorgam charles babbages analytical engine?

Ada Byron King

In which area did Girolama Cardano Make the most significant contributions

Algebra

which two mathematicians (in addition to Gauss) finally rejected the Parallel Postulate creating Non-Euclidean Geometry?

Bolyai and Lobachevsky

What was the three points that lie on an Euler Line?

Centroid, Circumcenter, Orthocenter

Florence Nightingale's rose diagram was the precursor of which of the following graphs

Circle graph

What information did Gauss add to our understanding of the fundamental theorem of Algebra?

Complex Solutions occur in conjugate pairs

Who is sometimes called the "Father of Algebra"

Diophantus

Who translated Newton's book, the prinicipia into French

Emilie du Chatelet

Which Mathematician whose research was in modern algebra left Nazi Germany to teacah at Byrn Mawr College in the United States

Emmy Noether

What was the title of Girolamo Saccheri's Book?

Euclid freed from every flaw

What do we call two numbers that are equal to the sum of the proper divisors of the other number?

Friendly Numbers

working independently of isaac newton, what other mathematician developed the basics of calculus at just about the same time?

Gottfried Wilhelm Leibniz

Which mathematician was the highest ranking woman in the U.S. Navy when she died?

Grace Hopper

Who coined the phrase "De-bugging" when she discovered that a moth had gotten into one of the early computers and caused a short in the machine

Grace Hopper

Euler's Work on the Konigsberg bridge probelm laid the foundations for which brand of mathematics?

Graph theory

Euler gave several proofs of Heron's formula for the area of a triangle with side lengths a, b, and c: Area = sqrt(s(s-a)(s-b)(s-c)) what is s?

Half the perimeter of the triangle

Many Mathematicians made progress on the proof of the Fundamental Theorem of Algebra. What was Euler's contribution?

He proved the theorem for polynomial equations of degree less than or equal to 6

What was Viete's contributions to the development of the modern symbolism of algebra?

He used letters to represent unknown quantities

With which physical disability was Euler afflicted in his later years?

He was Blind.

Why is leonhard euler known as the most prolific mathematician?

He wrote a massive amount of material during his lifetime much of which unpublished at his death.

What is the subject of the prime number theorem?

How many prime numbers are there less than a given positive integer?

Who was the first female mathematician that we have information about?

Hyptatia

Bombelli Wrote "It was a wild thought in the judgement of many; and i too for a long time was fo the same opinion." Bombelli was referring to what set of numbers?

Imaginary Nuumbers

What is the difference between an arithmetic sequence and a geometric sequence?

In an arithmetic Sequence, consecutive terms have a common difference. In geometric sequences, consecutive terms have a common ratio.

Who wrote Principia?

Isaac Newton

What did saccheri call the polygon that we know as the saccheri Quadrilateral?

Isosceles Birectangle

Who is the father of English Cryptography?

John Wallis

Which Mathematician was unable to obtain a professorship in native country of Russia or in Germany but did obtain a position in Sweden

Sofia Kovalevskaya

Which french Mathematician corresponded with carl fredrick gaus using pseudonym, L. LeBlanc

Sophie Germain

Which french mathematician intervened with the French army to guarantee Gauss's safety during the Napoleonic wars?

Sophie Germain

In which stage of Algebraic development did Diaphanous make contributions

Syncopated

What were the primary contents of the Book, Ars Magna?

The solution of cubic and quartic equations

According to Newton, what is a fluxion?

The speed at which a quantity changes

Are there any odd perfect numbers?

This remains an unsolved problem

Isaac Newton was the Lucasian Professor of Mathematics at what university in England?

University of Cambridge

What strategy did Girmolamo Cardano use to solve cubic equations?

With a particular substitution, he transformed the cubic equation into a quadratic equation which he did know how to solve.

Who is known as the prince of mathematicans

carl fredrick gauss

Which of the following is known as Euler's identity

e^ix = cos x + i * sin x

What is the restriction of the function f(x) in the fundamental theorem of calculs

f(x) must be continuous on [a,b]

True or False: Girolama Saccheri successfully proved Euclid's Fifth Postulate

false

True or false: Johann Heinrich Lambert Successfully proved Euclid's fifth postulate

false

Which mathematician is credited with first using the symbol for the integral

gottfried wilhelm leibniz

what does the fundamental theorem of Algebra tell us about the equation x^4 + 3 = 4x

it has at most four complex solutions

What are mersenne primes

prime numbers that can be written in the form 2^n - 1

Which number did Euler refer to as "neither nothing, nor greater than nothing, nor less than nothing"?

sqrt(-1)

What did Lambert call the difference between the angle-sum of a traingle and 180 degrees

the defect

which one of Euclid's postulates is also known as the parallel postulate?

the fifth postulate

What is true about the base angles of a saccheri quadrilataral

they are both right angles

What is the defining characteristic of a lambert quadrilateral

three of the angle are right angles

Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polynomial equations

x_n= x_n-1 - (f(x_n-1)/(f'(x_n-1)

According to the Generalized Binomial Theorem, (1+a)^x = 1 + ax + [a(a-1)/2!]*x^2 + ... The value of x must be a real number. What is the restriction of a?

|a|<1