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HISTORY OF MATHEMATICS (FTRC)

Carl Friedrich Gauss is known as the "Prince of Mathematician". He famous for his book entitled

Disquisitiones Arithmeticae

2. A study of hundreds of American Indian tribes showed that 10% of the tribes used vigesimal number system. Vigesimal number system uses (blank) as the base number.

20

3. According to Herodotus, from
where did geometry originate?

Egyptian

In ancient Egyptian number system, a lotus is used to represent what number?

1000

Summerians are known for which writing svstem?

Cuneiform

6. Who is known as the "pupil of Chaldeans and Egyptians" and proposed the theorem that an angle inscribed in a semicircle is a right angle?

Thales of Miletus

7. According to Pythagoras, mathematics means

"That which is learned"

The construction of the regular solids and the theory of proportional is attributed to which mathematician?

Pythagoras

Who is the mathematician likened to Moises who came within sight of the promise land but could not enter it?

Galileo Galilei

10. Summa de Arithmetica, Geometrica, and Proportioni et Proportionalita are books of

Luca di Borgo

Pythagorean: Pythagoras :: lonian:

Thales

12. Somewhat younger than Anaxagoras and coming originally from about the same part of the Greek world was a mathematician who discovered the quadrature of lunes. Who was

Hippocrates of Cos

Which among the following are paradoxes of Zeno

The Dichotomy, The Achilles, The Arrow, The Stade

Method of Exhaustion finds the area of a shape by inscribing polygons inside of it, with an increasing number of
sides. Who is reported to have invented this method?

Eudoxus of Cnidus

Which among the following is Menaechmus famous of?

Discovery of conic sections while attempting to solve problem of duplicating the cube

16. Menaechmus: duplication of cubes
Dinostratus:

Squaring of the Circles

17. The death of Alexander the Great had led to internecine strife among the generals in the Greek army, but after 300 BCE, control of the Egyptian portion of the empire was firmly in the hands of the Ptolemies, the Macedonian rulers of Egypt. Who is the Ptolemy who laid the foundations for two institutions at Alexandria that would make it the leading center of scholarship for generations?

Ptolemy I

18. The Elements is divided into thirteen books or chapters, of which the first half-dozen are on the (blank) next the three, the (blank), tenth on (blank), and the last three chiefly on (blank)

D. Elementary plane geometry; theory of numbers; incommensurables; solid geometry

19. He is known as The Sand Reckoner and the Father of Mathematical Physics. He invented ingenious war machines to keep the enemy at bay-catapults to hurl stones; ropes, pulleys, and hooks to raise and smash the Roman ships; devices to set fire to the ships. It is he who is famous for
"Eureka!" ("| have found it!").

Archimedes

20. Apollonius was born in Perge in Pamphylia (southern Asia Minor), but he may have been educated in Alexandria, and he seems to have spent some time teaching there. His most famous and influential work and only one of two that survives is the

Treatise on Conics

21. Who is the mathematician that is best remembered today for his measurement of the earth? He observed that at noon on the day of the summer solstice, the sun shone directly down a deep well at Syne. At the same time in Alexandria, taken to be on the same meridian and 5,000 stades north of Syene, the sun was found to cast a shadow indicating that the sun's angular distance from the zenith was one-fiftieth of a circle.

Eratosthenes of Cyrene

22. By far the what is considered today as the most influential and significant trigonometric work of all antiquity?

Mathematical Syntaxis

23. Which book is not considered as algebra book but a collection of problems in the application of algebra?

Arithmetics

Almagest:Ptolemy::Elements:?

Euclid

Which Chinese mathematical book includes 246 problems on surveying, agriculture, partnerships, engineering, taxation, calculation, the solution of equations, and the properties of right triangles and perhaps known as the most influential of all Chinese mathematical books?

Jiuzhang suanshu

Who is the Italian mathematician who is famous for being the first to find a formula to solve a cubic equations

Scipione del Ferro

28. Al'Khwarizmi is an Islamic mathematician who is considered as the "father of algebra". Which among the following is a book of Al'Khwarizmi that is said to have survived only in a unique copy of a Latin translation?

De numero indorum

The most important treatise written by Al'Khwarizmi is known as (blank) It is the title of this text that gives us the word "Algebra"

Hisob al-jabr wa'l mugabalah

Who is reputed to have invented the common logarithm?

Henry Biggs

31. A 17th century contemporary of Kepler who is also
an astronomer

Galilei

The inventor of Pendalum clock is?

Christian Huygens

The inventor of descriptive geometry

Gaspard Monge

34. Who discovered the fundamental principle of analytic geometry independent of Rene Descartes?

Fermat

Who is the Author of Ars Magna?

Girolamo Cardano

37. Who is regarded as the "Copernicus of Geometry" and author of "On the Principles of Geomtry" and "Imaginary
Geometry"?

Nikolai Lobachevsky

It was he who is famous for the riddle: God granted him to be a boy for the sixth part of his life, and adding a twelfth part to this, He clothed his cheeks with down; He lit him the light of wedlock after a seventh part, and five years after his marriage He granted him a son. Alas! late-born wretched child; after attaining the measure of half his father's life, chill fate took him. After consoling his grief by this science of numbers for four years he ended his life.

Diophantus

He is a lawyer who called algebra as "analytic art" because of the type of reasoning so frequently used in the subject.

Francois Viete

40. He is credited for the discovery of the law of inclined plane justified by his "wreath of spheres" diagram?

Jordanus Nemorarius

Which civilization is credited with the earliest use of a positional numeral system?

Babylonian

What significant problem in mathematics did Archimedes focus on that involved finding areas under curves?

The quadrature of the circle

The concept of incommensurability, discovered by the Pythagoreans, primarily relates to which mathematical entity?

Irrational Numbers

The "Elements" written by Euclid, primarily deals with which branch of mathematics?

Geometry

Archimedes' work on the volume of a sphere is considered a precursor to which modern mathematical technique?

Integral Calculus

The mathematical contributions of al-Khwarizmi were essential in the development of which mathematical field?

Algebra

What was Fibonacci's major contribution to mathematics that influenced European mathematical thought?

Fibonacci Sequence

78. Which Indian mathematician introduced the concept of zero as a number?

Brahmagupta

79. The House of Wisdom in Baghdad was significant for what reason in the history of mathematics?

It served as a major translation center for mathematical works.

Which theorem, proven by Pierre de Fermat, remained unproven for over 350 years until 1994?

Fermat's Last Theorem

81. What was the significant mathematical contribution of René Descartes?

Introduction of the Cartesian coordinate system

Which 17th-century mathematician is credited with the invention of calculus alongside Isaac Newton?

Gottfried Liebniz

The Bernoulli family is known for its contributions to which mathematical field?

Probability Theory

Which 19th-century mathematician is credited with formulating the theory of complex functions?

Augustin-Louis Cauchy

The method of exhaustion, used by the Greeks, is a precursor to which modern mathematical concept?

Limits

86. Who is known for developing the foundations of projective geometry?

Girard Desarques

87. What was the major contribution of Nicolaus Copernicus to mathematics and science?

Proof of the Heliocentric Model

88. Which mathematician's work laid the foundation for modern-day computer science?

Alan Turing

89. What did Carl Friedrich Gauss contribute to number theory that was pivotal?

Disquisitiones Arithmeticae

What was the major mathematical achievement of Evariste Galois?

Proving the unsolvability of quintic equations

92. Who is considered the father of set theory, which became the foundation for modern mathematics?

Georg Cantor

93. Who formulated the mathematical laws of planetary motion?

Johannes Kepler

94. Which 18th-century mathematician introduced the concept of a function and its notation f(x)?

Leonard Euler

95. Which mathematician's work on conic sections laid the groundwork for the later development of orbital mechanics?

Appolonius of Perga

96. What mathematical tool did Isaac Newton develop that was crucial for understanding motion and change?

Calculus

Who introduced the concept of a mathematical group, which became fundamental in abstract algebra?

Galois

Which mathematical discipline did Bernhard Riemann significantly contribute to with his study of surfaces and higher dimensions?

Differential Geometry

Who was responsible for the development of modern algebraic notation, including the use of letters to represent variables?

Francois Viete

Which among the following is Menaechmus famous of?

Discovery of conic sections while attempting to solve problem of duplicating the cube

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