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MATHEMATICS AND
SCIENCE
IN THE 17TH AND 18TH
CENTURY
•Mathematics is the science that deals
with the logic of shape, quantity and
arrangement. Math is all around us, in
everything we do.
•Science is the study of the nature and
behavior of natural things and the knowledge
that we obtain about them.
The 17th & 18th century
Advances in numerical calculation, the development of
symbolic algebra and analytic geometry, and the invention of
the differential and integral calculus resulted in a major
expansion of the subject areas of mathematics.
MATHEMATICIAN DISCOVERY IN
17TH AND 18TH CENTURY
17TH CENTURY MATHEMATICS
Logarithms were invented by John Napier,
early in thye 17th Century
Graph of the number of digits in the
known Mersenne primes
Graph of the number of digits in the known
Mersenne primes
Desargues’ perspective theorem
Desargues’ perspective theorem
18TH CENTURY MATHEMATICS
Calculus of variations
Lagrange’s Mean value Theorem
The first six Legendre polynomials
(solutions to Legendre’s differential
equation
FAMOUS MATHEMATICIANS AND
SCIENTIST
Galileo
Galilei
Born: 15 February
1564, Pisa, Italy
Contribution:
Galileo was the first to observe the
uneven, cratered surface of the moon;
Jupiter's four largest satellites, dubbed
the Galilean moons; dark spots on the
surface of the sun, known as sunspots;
and the phases of Venus.
Famous For:
He was an equally brilliant physicist,
philosopher, engineer and Italian
polymath. Galileo is credited for amazing
scientific discoveries which revolutionized
the world in the centuries that followed
Blaise Pascal
Contribution:
He is known for contributing
Pascal's triangle and probability theory. He
also invented an early digital calculator and
a roulette machine. In the field of
physics, Blaise contributed to the study of
atmospheric pressure by discovering that
vacuums are real and exist in the real
world.
Famous For:
He is well known in both the mathematics
and physics fields. In mathematics, he is
known for contributing Pascal's triangle
and probability theory. He also invented an
early digital calculator and a roulette
machine.
born June 19, 1623,
Clermont-Ferrand,
France—died August9,
1662, Paris)
Famous For:
Johannes Kepler is best known for his
three laws of planetary motion. These laws
are: Planets move in orbits shaped like an
ellipse. A line between a planet and the
covers equal areas in equal times.
Contribution:
Johannes Kepler's 10 Major
Contributions To Science. Johannes
Kepler (1571 – 1630) was a German
mathematician and astronomer who was a
key figure of the Scientific Revolution. His
most famous accomplishment are his
three laws of planetary motion which laid
the foundation of celestial mechanics.
Johannes Kepler
Born: 27 December
1571, Weil der Stadt,
Germany
Christiaan Huygens
Famous For:
He was an illustrious figure in the field
of mathematics during the seventeenth
century. He was also an eminent Dutch
scientist, physicist and astronomer.
Moreover, he explored the wonders of
space by making telescopic studies of the
rings of Saturn.
Contribution:
He is accredited for inventing pendulum
clock and making observations on
timekeeping. He made contribution to the
studies of optics and mechanics by
publishing works on these subjects
Born: 14 April 1629, The
Hague, Netherlands
Edmond Halley
Contribution:
He constructed on Saint
Helena, Halley recorded a transit of
Mercury across the Sun. He realised a
similar transit of Venus could be used to
determine the size of the Solar System. He
also used his observations to expand
contemporary star maps.
Famous For:
He was the first to calculate the orbit of a
comet, today one of the most famous of
all comets, named Comet Halley in his
honor.
Born: 8 November
1656, Haggerston,
London, United Kingdom
Famous For:
He was a physicist
and mathematician who developed the
principles of modern physics, including the
laws of motion and is credited as
one of the great minds of the 17th-
century Scientific Revolution. ... In 1705, he
was knighted by Queen Anne of England,
making him Sir Isaac Newton
Isaac
Newton
Contribution:
Newton developed a new theory of light,
discovered and quantified gravitation, and
pioneered a revolutionary new approach
to mathematics: infinitesimal calculus.
Born: 4 January
1643, Woolsthorpe Manor
House, United Kingdom
Contribution:
Hooke used an improved compound
microscope he had built to study the bark
of a cork tree. In doing so he discovered
and named the cell – the building block of
life. However he didn't know its true
biological function. Hooke coined the term
cell and published the discovery in his
famous 1665 book Micrographia.
Famous For:
"natural philosopher"an early scientis—
noted for a variety of observations of the
natural world. But perhaps his most
notable discovery came in 1665 when he
looked at a sliver of cork through a
microscope lens and discovered cells.
Robert Hooke
(July 18, 1635–March 3,
1703)
Famous For:
He used single-lens microscopes, which he
made, to make the first observations of
bacteria and protozoa. His extensive
research on the growth of small animals
such as fleas, mussels, and eels helped
disprove the theory of spontaneous
generation of life.
Born: 24 October 1632, Delft,
Netherlands
Contribution:
He was the first man to make a protracted
study of microscopical objects, and, unlike
his contemporary Robert Hooke, he viewed
by transmitted light. Leeuwenhoek made
over 500 of his own, curious, simple
microscopes, but now only nine are known
to exist.
Antonie van Leeuwenhoek
Contribution:
A person who discovered that the volume
of a gas decreases with increasing
pressure and vice versa—the
famous Boyle's law. ... Born at Lismore
Castle, Munster, Ireland, Boyle was the
14th child of the Earl of Cork
Robert Boyle
Famous For:
A leading scientist and intellectual of his
day, he was a great proponent of the
experimental method.
Born: 25 January
1627, Lismore, Ireland
Famous For:
one of the prominent mathematicians of
the 17th century, is better known for his
contribution towards development of
infinitesimal calculus. He was also a lawyer
in terms of profession at the Parliament of
Toulouse Pierre de Fermat
Contribution:
Fermat made contributions in many
areas of mathematics, such as probability
theory, analytic geometry, optics, and
infinitesimal calculus. He was the inventor
of modern number theory, and this was
where a lot of his work was concentrated
Born: 1607, Beaumont
-de-Lomagne, France
THANK YOU FOR WATCHING !
The man ignorant of
mathematics will be
increasingly limited in his
grasp of the main forces of
civilization.
“Mathematics is the
language with which God
has written the universe.”
― Galileo Galilei

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Mathematics and science 17th and 18th Century

  • 1. MATHEMATICS AND SCIENCE IN THE 17TH AND 18TH CENTURY
  • 2. •Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. •Science is the study of the nature and behavior of natural things and the knowledge that we obtain about them.
  • 3. The 17th & 18th century Advances in numerical calculation, the development of symbolic algebra and analytic geometry, and the invention of the differential and integral calculus resulted in a major expansion of the subject areas of mathematics.
  • 5. 17TH CENTURY MATHEMATICS Logarithms were invented by John Napier, early in thye 17th Century
  • 6. Graph of the number of digits in the known Mersenne primes Graph of the number of digits in the known Mersenne primes
  • 10. The first six Legendre polynomials (solutions to Legendre’s differential equation
  • 11. FAMOUS MATHEMATICIANS AND SCIENTIST Galileo Galilei Born: 15 February 1564, Pisa, Italy Contribution: Galileo was the first to observe the uneven, cratered surface of the moon; Jupiter's four largest satellites, dubbed the Galilean moons; dark spots on the surface of the sun, known as sunspots; and the phases of Venus. Famous For: He was an equally brilliant physicist, philosopher, engineer and Italian polymath. Galileo is credited for amazing scientific discoveries which revolutionized the world in the centuries that followed
  • 12. Blaise Pascal Contribution: He is known for contributing Pascal's triangle and probability theory. He also invented an early digital calculator and a roulette machine. In the field of physics, Blaise contributed to the study of atmospheric pressure by discovering that vacuums are real and exist in the real world. Famous For: He is well known in both the mathematics and physics fields. In mathematics, he is known for contributing Pascal's triangle and probability theory. He also invented an early digital calculator and a roulette machine. born June 19, 1623, Clermont-Ferrand, France—died August9, 1662, Paris)
  • 13. Famous For: Johannes Kepler is best known for his three laws of planetary motion. These laws are: Planets move in orbits shaped like an ellipse. A line between a planet and the covers equal areas in equal times. Contribution: Johannes Kepler's 10 Major Contributions To Science. Johannes Kepler (1571 – 1630) was a German mathematician and astronomer who was a key figure of the Scientific Revolution. His most famous accomplishment are his three laws of planetary motion which laid the foundation of celestial mechanics. Johannes Kepler Born: 27 December 1571, Weil der Stadt, Germany
  • 14. Christiaan Huygens Famous For: He was an illustrious figure in the field of mathematics during the seventeenth century. He was also an eminent Dutch scientist, physicist and astronomer. Moreover, he explored the wonders of space by making telescopic studies of the rings of Saturn. Contribution: He is accredited for inventing pendulum clock and making observations on timekeeping. He made contribution to the studies of optics and mechanics by publishing works on these subjects Born: 14 April 1629, The Hague, Netherlands
  • 15. Edmond Halley Contribution: He constructed on Saint Helena, Halley recorded a transit of Mercury across the Sun. He realised a similar transit of Venus could be used to determine the size of the Solar System. He also used his observations to expand contemporary star maps. Famous For: He was the first to calculate the orbit of a comet, today one of the most famous of all comets, named Comet Halley in his honor. Born: 8 November 1656, Haggerston, London, United Kingdom
  • 16. Famous For: He was a physicist and mathematician who developed the principles of modern physics, including the laws of motion and is credited as one of the great minds of the 17th- century Scientific Revolution. ... In 1705, he was knighted by Queen Anne of England, making him Sir Isaac Newton Isaac Newton Contribution: Newton developed a new theory of light, discovered and quantified gravitation, and pioneered a revolutionary new approach to mathematics: infinitesimal calculus. Born: 4 January 1643, Woolsthorpe Manor House, United Kingdom
  • 17. Contribution: Hooke used an improved compound microscope he had built to study the bark of a cork tree. In doing so he discovered and named the cell – the building block of life. However he didn't know its true biological function. Hooke coined the term cell and published the discovery in his famous 1665 book Micrographia. Famous For: "natural philosopher"an early scientis— noted for a variety of observations of the natural world. But perhaps his most notable discovery came in 1665 when he looked at a sliver of cork through a microscope lens and discovered cells. Robert Hooke (July 18, 1635–March 3, 1703)
  • 18. Famous For: He used single-lens microscopes, which he made, to make the first observations of bacteria and protozoa. His extensive research on the growth of small animals such as fleas, mussels, and eels helped disprove the theory of spontaneous generation of life. Born: 24 October 1632, Delft, Netherlands Contribution: He was the first man to make a protracted study of microscopical objects, and, unlike his contemporary Robert Hooke, he viewed by transmitted light. Leeuwenhoek made over 500 of his own, curious, simple microscopes, but now only nine are known to exist. Antonie van Leeuwenhoek
  • 19. Contribution: A person who discovered that the volume of a gas decreases with increasing pressure and vice versa—the famous Boyle's law. ... Born at Lismore Castle, Munster, Ireland, Boyle was the 14th child of the Earl of Cork Robert Boyle Famous For: A leading scientist and intellectual of his day, he was a great proponent of the experimental method. Born: 25 January 1627, Lismore, Ireland
  • 20. Famous For: one of the prominent mathematicians of the 17th century, is better known for his contribution towards development of infinitesimal calculus. He was also a lawyer in terms of profession at the Parliament of Toulouse Pierre de Fermat Contribution: Fermat made contributions in many areas of mathematics, such as probability theory, analytic geometry, optics, and infinitesimal calculus. He was the inventor of modern number theory, and this was where a lot of his work was concentrated Born: 1607, Beaumont -de-Lomagne, France
  • 21. THANK YOU FOR WATCHING ! The man ignorant of mathematics will be increasingly limited in his grasp of the main forces of civilization. “Mathematics is the language with which God has written the universe.” ― Galileo Galilei