The sixth chapter of natural Mathematics and analysis

The sixth chapter of natural Mathematics and analysis

The result of the technological revolution

• The mathematics and analysis of nature
• World Restart Mechanization

Copernicus Kepler Galileo Newton

6.1 The mathematical and analytical nature of the Greek background and Christian background is an indispensable backdrop for the European technological revolution

The science of Greece is useless, but modern is useful. There is a Christian role between the.
Christianity thinks that the world is created, so the world can be changed. This idea is very important to modern science.
Experimental science is the distinguishing feature of modern science from Greek science

European mathematical and traditional disciplines

Mathematics, Physics (mechanics, optics), astronomy are the protagonists of this revolution.
Chemistry only appeared in the 18th century, born out of alchemy tradition.

The Copernicus Revolution

Recommended readings the "Copernicus Revolution" in the economic field

The Revolution, autobiography and axis rotation of Copernicus ' motion of celestial body (celestial sphere)
The Copernicus Revolution was a revolution of three levels, including the astronomical Revolution, the physics Revolution and the cosmological revolution.

6.1 Mathematics and analysis of nature (exercise)

The triple movement of the Earth's revolution, rotation, and axis was introduced by Copernicus.
An important characteristic of the distinction between Greek science and modern science is experimental science
Chemistry does not belong to the European traditional mathematical disciplines
The Copernicus Revolution was a revolution of three levels, including the astronomical Revolution, the physics Revolution and the cosmological revolution.

The development of the 6.2-day literature Copenico Conservative

• Preserving the celestial system
• Retains the positive circle motion
• Retained the round-wheel system
• Retaining the eccentric circle device

The question of Copernicus

• Stellar Parallax
• Sports issues

The problems Copernicus faced were not in Catholicism, but in Protestantism. The essence of Protestantism is to return to the Bible. The Bible says the sun goes around the earth.
The success of the Copernicus system-printing, the Star Watch (Reinhold, according to the Copernicus system, the Prussian star table, the Star table is widely used)

A book that nobody has read Owen-Kingorich

Vale, blah

The new Nova (Nova), a star rather than a planet, was discovered in 1572, breaking the immutable dogma of the heavens.
Proves that the comet is farther than the moon. The comet's measurements, breaking the concept of the Crystal orb.
The five planets revolve around the sun and the sun goes around the earth.
The first valley (the Genius observer), the Apostle of the genius mathematician, died in the second year.

Cape Le

German, Pythagoras (The beauty of mathematics is true)
1595 Secrets of the Universe
1600 becomes the pupil of the Valley
After Vale died, the data of the valley was inherited by Kepler. The best data in the valley are the Martian data. Kepler, after fitting the Martian data with its own model, found that it was wrong and then abandoned its model. (He is a constructivist, not as beautiful as it is). Repeated fitting of the data, finally with the theory of conic section (Greece has) to fit successfully.
In 1609, taking Mars as an example, the second law of Kepler , the uniform law of Plane velocity, was published.
The First Law is that the orbits of planetary motion are elliptical.
In 1619, the third law of Kepler , also known as the Law of reconciliation, was put forward, and in the harmony of the universe, the square of each planet's revolution was proportional to the cubic of the ellipse's orbital half-length axis. reveals that the solar system itself is an organic whole . There is a relationship between each planet. Newton's law of gravitation can be directly derived from Kepler's law.

The significance of Kepler

• "Sky legislator": Replace the circle with ellipse, completely eliminate the round, the average wheel and the eccentric circle
• The Three laws abolish the concept of the Crystal orb.
• The Sun really becomes the center of the orbit, establishing the concept of the solar system (what does the sun actually do in the movement of the whole planet), heralding the gravitational problem

The 1627 "Rudolph Star" marks the completion of the Copernicus Revolution in astronomy.
1630 years, Kepler was strangled on the road to pay.

Questions left by the astronomical revolution

• Planetary parallax Problems
• The problem of vertigo caused by Earth movement
• How the Sun is holding the planets in motion (Kepler's theory suggests)

Galileo

Italian people
1608 telescope was inadvertently found in (The Netherlands)
The following year, Galileo made a 20 times-fold telescope himself.
Found the crater above the moon, Jupiter has four satellites.
1611 blacklisted by the church
Galileo published the letter on sunspots in 1613, referring to the phase of Venus, proving that the theory of Copernicus
Galileo said: "God has written two books, one is the Bible, one is nature, nature is very accurate, but the Bible is not accurate." When science and theology clash, theologians should listen to scientists, because scientists are people who can read nature.
1616, the Inquisition established the theory of celestial movement as a banned book.
1623 Galileo wrote "The trial of the gold," formally declaring the natural mathematical, the nature is written in the Book of Mathematics.
6 years to write the dialogue on the two world systems of Ptolemy and Copernicus, abbreviated as "dialogue"
Tried in 1633 as a "suspicious pagan", ordered public repentance, after repentance, under house arrest
During his incarceration, Galileo wrote the dialogue on two new Sciences, which was published in 1638, laying the foundation of modern mechanics. These two new science refers to the new kinematics (mechanics), material mechanics. Free-falling, parabolic, high school physics.
January 9, 1642 died, New Years, the old age, the same year, Newton was born.
Bertone-Brecht "Galileo Turn" (play)

Development of the 6.2-day literature (exercise)

The following description of Kepler's law is correct: Also known as the Harmonic Law, also known as the Law of planetary motion, refers to the laws of the planets in space around the sun to follow the law
The theory that revealing the essence of the solar system is an organic whole is the third law of Kepler.
On Copernicus ' conservative system of astronomy, he retained the celestial system, retained the positive circle movement, retained the round-wheel system and retained the eccentric circle device.
Galileo wrote "Star Messenger."
Owen Kingorich is the author of the book that no one has ever read.

6.3 Number of the development of the Rigaku Newton Newton's achievements

• Mathematically, the invention of calculus
• The law of gravitation found in astronomy
• Mechanics, the system summarizes the three laws of motion
• Optics, discovered the compound of the sun, invented the reflective telescope

(Theology, Alchemy)

Books read during the University of Newton

• Kepler "Optics"
• Descartes ' geometry ' principles of philosophy
• Galileo "Dialogue"
• Hooker's microscopic picture

Newton's Life

1665 graduation, 65-66 years, plague, Newton's miracle Year, two polynomial, calculus, color of light, integral operation, gravitation formula
1669 Lucas, Barrow, first Chair, Newton is Cambridge's second teacher
1671 the invention of the reflective telescope, the refraction is easy to have a difference, with this telescope, into the Royal Academy of Sciences
1686 "The Mathematical Principles of natural philosophy" laid the entire Newton mechanical system, proving that the landing of apples, and the moon is not landing is the same
1693, mental depression
1696, as director of the Mint until he dies.
President of the Royal Society until he dies.
"Optics", published in 1704, leads to a lot of questions, reflecting on their own theory can not solve many problems
1727 death

Mechanical Nature

From Copernicus to Newton, the creation of modern physics and astronomy was completed, and physics and astronomy were two major representatives of modern mathematical science.
The mechanization of the world began here.

From organic nature view to mechanical nature view

• The hierarchical cosmic system is evenly spaced across the infinite universe of peers.
• Changes in the concept of Space topos (place) into space

Division of first Nature and second nature

• The nature associated with the human senses is second nature
• Quality, wide extension, shape as the first property

Development of 6.3-digit science (exercise)

The dialogue of the two new sciences lays the foundation of modern mechanics
The author of the two dialogue on new science is Galileo.
The law of universal gravitation is Newton's achievement in astronomy.
Einstein is the author of general relativity, and Hawking's main research field is cosmology and black holes. Einstein's field of study is relativity, photoelectric effect.

From for notes (Wiz)

The sixth chapter of natural Mathematics and analysis