Math-140
Activity 8.6 – Discussion: Carl Friedrich Gauss

Carl Friedrich Gauss, “Prince of Mathematics”
For hundreds of years mathematics has played a significant role in the development of society, from organizing calendars to the latest method of encryption for the United States government computers. Civilization as we know it would be altered immensely if mathematics did not play such a considerable role in the development of architecture and technology. Over hundreds of years, several mathematicians have paved the way for new ways of thinking and new inventions. One important mathematician is Johann Carl Friedrich Gauss. He was also known at the time as Princeps Mathematicorum, which translates to mean Prince of Mathematicians. Gauss has contributed to several concepts in mathematics and science such as: number theory, statistics, analysis, differential geometry, geodesy, geophysics and several others. His many contributions, have allowed scholars to explore these fields to a greater extent. In Algebra, Gauss worked with congruencies, and proved the Fundamental Theorem of Algebra. Johann Carl Friedrich Gauss was born in Brunswick, Germany on April 30, 1777, to impoverished, working class parents. His father, Gebhard Dietrich Gauss, worked as a gardener and bricklayer. His mother, Dorothea Gauss, was the daughter of a stonecutter. At the tender age of three Gauss’ mathematical ability allowed him to correct an error in his father’s weekly payroll calculations. As a teenager Gauss began working with advanced mathematic principles, and in 1795 at the age of 18, he became the first person to prove the Law of Quadratic Reciprocity, a theory of math that allows us to determine whether quadratic equations can be solved. That same year Gauss made one of his most important discover, while using a ruler and compass, he constructed a regular 17-sided polygon or heptadecagon. Upon further investigation behind this construction, Gauss...

...CarlFriedrichGaussCarlFriedrichGauss was a German mathematician and scientist who
dominated the mathematical community during and after his lifetime. His
outstanding work includes the discovery of the method of least squares, the
discovery of non-Euclidean geometry, and important contributions to the theory
of numbers.
Born in Brunswick, Germany, on April 30, 1777, Johann FriedrichCarlGauss showed early and unmistakable signs of being an extraordinary youth. As a
child prodigy, he was self taught in the fields of reading and arithmetic.
Recognizing his talent, his youthful studies were accelerated by the Duke of
Brunswick in 1792 when he was provided with a stipend to allow him to pursue his
education.
In 1795, he continued his mathematical studies at the University of Gö
ttingen. In 1799, he obtained his doctorate in absentia from the University of
Helmstedt, for providing the first reasonably complete proof of what is now
called the fundamental theorem of algebra. He stated that: Any polynomial with
real coefficients can be factored into the product of real linear and/or real
quadratic factors.
At the age of 24, he published Disquisitiones arithmeticae, in which he
formulated systematic and widely influential concepts and methods of number
theory -- dealing with the relationships and properties of integers. This book
set the pattern...

...Jeannette Chavez
Mrs. Nyguen
Algebra 2
15 march 2011
JOHANN CARLFRIEDRICHGAUSSCarlFriedrichGauss was a German mathematician and scientist who
dominated the mathematical community during and after his lifetime. His
outstanding work includes the discovery of the method of least squares, the
discovery of non-Euclidean geometry, and important contributions to the theory
of numbers. Born in Brunswick, Germany, on April 30, 1777, Johann FriedrichCarlGauss showed early and unmistakable signs of being an extraordinary youth. At the age of three he amazed his father by correcting an arithmetical error. As a child prodigy, he was self taught in the fields of reading and mathematics. Recognizing his talent, his youthful studies were rush by the Duke of Brunswick in 1792 when he was provided with an earnings to allow him to pursue his education. In 1795, he continued his mathematical studies at the University of Göttingen.
Gauss's supposed method, which reason the list of numbers was from 1 to 100, was to realize that pair wise addition of terms from opposite ends of the list submit equal transitional sums: 1 + 100 = 101, 2 + 99 = 101, 3 + 98 = 101, and so on, for a total sum of 50 × 101 = 5050. Gauss built the theory of complex numbers into its modern form, including the notion of "monogenic" functions...

...CarlFriedrichGauss
Kevin Jean-Charles
August 10, 1996
Seq. Math Course 2
Period 1&2
This report is on CarlFriedrichGauss. Gauss was a German scientist and
mathematician. People call him the founder of modern mathematics. He also worked
in astronomy and physics. His work in astronomy and physics is nearly as
significant as that inmathematics. Gauss also worked in crystallography, optics,
biostatistics, and Making mechanics.
Gauss was born on April 30, 1777 in Brunswick. Brunswick is what is now
called West Germany. He was born to a peasant couple. Gauss's father didn't want
Gauss to go to a University. In elementary school he soon impressed his teacher,
who is said to have convinced Gauss's father that his son should be permitted to
study with a view toward entering a university. In secondary school nobody
recognize his is talent for math and science because he rapidly distinguished
himself in ancient languages. When Gauss was 14 he impressed the duke of
Brunswick with his computing skill. The duke was so impressed that he generously
supported Gauss until his death in 1806.
Gauss conceived almost all his basic mathematical discoveries between
the ages of 14 and 17. In 1791 he began to do totally new and innovative work in...

...almost done.'
CarlFriedrichGauss
(1777 - 1855)
BIOGRAPHY
Karl FriedrichGauss was born in Brunswick, Germany in 1777. Gauss studied mathematics at the University of Gottingen from 1795 to 1798. He became the Director of the Gottingen Observatory from 1807 until his death. His father was a manual labourer but noticed his son's talents quite early. It has been said that Karl displayed incredible talent in math at a very young age. There are stories that tell of him managing his father's business accounts before the age of 5 and apparently even catching a payroll error. When a teacher asked him to add up the numbers between 1 and 100, (to keep him busy) Gauss quickly found a short cut for the answer 5050. A well-known today....thanks to Gauss. He called mathematics "The Queen of the Sciences" and arithmetic "The Queen of Mathematics”.
CONTRIBUTIONS
At 24 years of age, he wrote a book called Disquisitines Arithmeticae, which is regarded today as one of the most influential books written in math.
He also wrote the first modern book on number theory, and proved the law of quadratic reciprocity.
In 1801, Gauss discovered and developed the method of least squares fitting, 10 years before Legendre, unfortunately, he didn't publish it.
Gauss proved that...

...Greetings, my fellows! I am Gauss, Johann CarlFriedrichGauss. I am a German mathematician and I contributed significantly to maths and physics. I was born on the 30th April 1777 in Braunschweig, Germany. Unfortunately, my mother was not well educated and could not read or write and could not record my date of birth. The only she remembered was that I was born on a Wednesday, eight days before the Feast of Ascension, which occurs 40 days after Easter. I was christened and accepted in a church located near the school he went to as a child.
Not to brag, but I was a total genius! When I was 21, I made my first discovery which was to make me famous. I had completed Disquisitiones Arithmeticae. But it was not published until 1801. My book was so great that it shaped the field of number studies all the way to the this day. Don't ask me how I know this because I can tell you I discovered this when I was in heaven.
I was so talented that the Duke of Braunschweig sent me to one of the most prestigious schools at the time, Collegium Carolinum. I studied there from 1792 to 1795 and then transferred to the University of Göttingen and studied there from 1795 to 1798. While I was still in university, I rediscovered several important theorems. But my breakthrough occurred in 1796 when he was able to prove that any regular polygon with a number of sides which is a Fermat prime can be constructed by using just a compass and...

...CarlGauss was a man who is known for making a great deal breakthroughs in the wide variety of his work in both mathematics and physics. He is responsible for immeasurable contributions to the fields of number theory, analysis, differential geometry, geodesy, magnetism, astronomy, and optics, as well as many more. The concepts that he himself created have had an immense influence in many areas of the mathematic and scientific world.CarlGauss was born Johann CarlFriedrichGauss, on the thirtieth of April, 1777, in Brunswick, Duchy of Brunswick (now Germany). Gauss was born into an impoverished family, raised as the only son of a bricklayer. Despite the hard living conditions, Gauss's brilliance shone through at a young age. At the age of only two years, the young Carl gradually learned from his parents how to pronounce the letters of the alphabet. Carl then set to teaching himself how to read by sounding out the combinations of the letters. Around the time that Carl was teaching himself to read aloud, he also taught himself the meanings of number symbols and learned to do arithmetical calculations.
When CarlGauss reached the age of seven, he began elementary school. His potential for brilliance was recognized immediately. Gauss's teacher Herr Buttner, had...

...Johann CarlFriedrichGauss was born on April 30, 1777 in Germany, to poor working class parents. His mother did not recorded the hate of his birth, she didn’t even remember the day he was born all she remembered was that it was eight days before the feast of the ascension, which happens 40 days after Easter Gauss ended up figuring out when he was born on his own. Gauss made his first ground breaking mathematical discoveries while still a teenager. He completed Disquisitiones Arithmeticae, his magnum opus, in 1798 at the age of 21, though it was not published until 1801. This work was fundamental in consolidating number theory as a discipline and has shaped the field to the present day. Gauss's intellectual abilities attracted the attention of the Duke of Braunschweig, who sent him to the Collegium Carolinum, which he attended from 1792 to 1795, and to the University of Göttingen from 1795 to 1798. While in university, Gauss independently rediscovered several important theorems; his breakthrough occurred in 1796 when he was able to show that any regular polygon with a number of sides which is a Fermat prime and, consequently, those polygons with any number of sides which is the product of distinct Fermat primes and a power of 2 can be constructed by compass and straightedge. The discovery of Ceres led Gauss to his work on a theory of the motion of planetoids disturbed by large...

...History of mathematics
A proof from Euclid's Elements, widely considered the most influential textbook of all time.[1]
The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.
Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. The most ancient mathematical texts available arePlimpton 322 (Babylonian mathematics c. 1900 BC),[2] the Rhind Mathematical Papyrus (Egyptian mathematics c. 2000-1800 BC)[3] and the Moscow Mathematical Papyrus (Egyptian mathematics c. 1890 BC). All of these texts concern the so-calledPythagorean theorem, which seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry.
The study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans, who coined the term "mathematics" from the ancient Greekμάθημα (mathema), meaning "subject of instruction".[4]Greek mathematics greatly refined the methods (especially through the introduction of deductive reasoning andmathematical rigor in proofs) and expanded the subject matter of mathematics.[5] Chinese...

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