Janos Bolyai was born in December 1802 in Kolozsvar, Hungary. Janos’ father, Farkas Bolyai, was also a mathematician. This most likely where Janos attained his touch in mathematics. He taught Janos much about mathematics and other skills. Janos proved to be a sponge soaking up every bit of knowledge given to him. Farkas Bolyai was a student of mathematical genius Carl Friedrich Gauss, a German mathematician who had made many mathematical discoveries. He tried to persuade Gauss to take Janos and give him the education that Farkas himself had gotten, but Gauss turned him down. This didn’t slow down Janos in his education. He had an amazing learning ability and was able to comprehend complex mathematics at a young age as well as quickly learning new languages. Farkas claimed that Janos had learned everything that Farkas could teach him by the time he was fifteen. Janos could speak many languages, and was very knowledgeable in calculus, trigonometry, algebra, and geometry. He was also a student at the Academy of Military Engineering in Vienna at the young age of 16. He studied for 4 years completing his degree in a little over half the time it took most students. Janos became interested in the problem of the axiom of parallelism or Euclid’s 5th postulate which states, “if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.” This was a theory that many mathematicians had tried to prove or disprove using the other postulates since it was created. He was determined to solve the problem despite the attempted dissuasion of his father as his father had also studied the subject extensively with little result. Janos continued to study this subject for sometime even though the college he attended did not have much to teach him in the mathematics field as he already knew most all of it. There is evidence that while still in college, Janos had created a new concept of the axiom of parallelism and a new system of non-Euclidian Geometry. Janos found that it was possible to have consistent geometries that did not fall under the rule of the parallel postulate. Janos’ conclusion was this “The geometry of curved spaces on a saddle-shaped plane, where the angles of a triangle did not add up to 180° and apparently parallel lines were NOT actually parallel.
After learning that a man by the name of Quamina Eddoo was declared not guilty of slavery, his young slave Abina Mansah tearfully proclaims that she might as well have kept her story silent; in writing Abina and the Important Men, a gripping graphic history that tells the tale of the court case between Abina and Quamina, author Trevor Getz and illustrator Liz Clarke hope to accomplish just the opposite, by giving a voice to someone who was once silenced (Getz and Clarke 77). To do so effectively, Getz and Clarke employ several historiographical and literary strategies that are evident throughout the work.
Louis “Louie” Zamperini went from the Terror of Torrance to a World War II hero. He grew from a young boy, who terrorized his town, into a record breaking runner, who competed in the Olympics. He later joined the United States Army Air Forces and served as a bombardier in World War II. After his plane crashed and he was stuck on a raft in the ocean, he was captured by the Japanese and became a prisoner of war. Louie’s resourcefulness, toughness, and defiance from his boyhood helped him to survive the relentless torment thrown at him later in life.
Many think being a hero is having super powers, but on the contrary it's more than that. A hero is one who is distinguished for their courage and bravery, and looked upon for their great deeds. A hero like this is not just found in modern society today, but in mythology as well. In the epic poem The Odyssey by Homer, Odysseus earns the title of a true hero by conveying many qualities such as: determination, courage and leadership.
Is Odysseus, the main character of Homer’s The Odyssey, really an epic hero? An epic hero embodies several heroic traits such as; having superior or super-human strength; being intellectual and courageous; and being a strong and responsible leader. An epic hero struggles and is overwhelmed with difficulties. An epic hero is on a quest of self discovery, war or some sort of goal. In the Odyssey, Odysseus is on a quest to return home to Ithaca after ten years of war in Troy. Odysseus, during his quest, is forced to venture through a merciless Cyclops, angered Gods, deeply obstinate Goddesses, the underworld, and determined suitors that are after his wife Penelope. Odysseus surmounts over these obstacles and returns home safely with courage, intelligence, superior strength, brave leadership, and also performs brave deeds.
What does it mean to be a hero? The variety of traits people look for in a hero is endless. In general, a hero is someone is someone that makes a heroic journey and displays admirable qualities. In The Odyssey by Homer, Odysseus makes a journey to become a hero. Essentially, he is making a journey to save his family and the country he rules, Ithaka. This epic poem begins in medas res and through this non-linear tale Homer’s audience receives the chance to watch the transformation of Odysseus as he evolves into a classic hero. When Odysseus begins his journey he is selfish and struggles with his overwhelming hubris. However, after successfully completing each step of the hero’s journey the reader begins to see a whole new character, and ultimately, a hero. Odysseus proves himself a hero by displaying to the audience sharp intellect, modest humility, and unyielding leadership.
Is there such a thing as a true hero? Or are those that are considered "heroes" just regular people who made the right choice at the right time and became idolized for it? To be a true hero, the person would have to be totally good. It is impossible for a human being to be totally good because weaknesses, character faults, and the tendency to make mistakes are all rooted deeply into human nature. Therefore, no human being can ever truly be a hero, though we may do heroic deeds. A well known example of such a person is Odysseus from Homer's "Odyssey". Odysseus is idolized for his few heroic deeds during the Trojan War and his journey home to Ithaca. He is often thought of as a hero, but, as he is human and therefore subject to human weakness and fault, is not a true hero athough some of his deeds were heroic.
Edson Arantes do Nascimento, more widely admired by the world as "Pelé", was born on October 23, 1940, in a small village in Brasil called Três Corações in the Brasilian state of Minas Gerais. He was baptized in the municipal church called Igreja da Sagrada Família de Jesus, Maria e José. His father, João Ramos do Nascimento, or Dondinho, as he was known in the soccer world, was also a professional player. He was well-known as one of the best-heading players in his time. He was a center forward for Fluminense until an injury kept him from playing professional division one soccer. His mother Celeste gave Pelé and the rest of his family attention to their needs and a lot of love. When he was a child, Pelé and his family moved to Baurú, in the interior of the Brasilian state of São Paulo, where he learned to master the art of futebol. One day he himself confessed that he "tinha três corações [had three hearts]", referring to the city where he was born, Três Corações, and to Baurú and Santos.
Born between 530-569 B.C. Pythagoras of Samos is described as the first "pure mathematician." Pythagoras' father was Mnesarchus of Tyre and Pythais of Samos. Mnesarchus was a merchant who was granted citizenship after he brought corn to Samos during a famine. The citizenship was an act of gratitude. There are accounts that Pythagoras traveled widely with his father, even back to his father's home, Tyre and Italy. During these travels Pythagoras was educated by Chaldaeans and learned scholars in Syria.
He was so smart that he was 1 to 200 people that could read at his time. He was inspired of the “master” at the school he went to taking up mathematical problems and he quickly caught on and mastered it. He master multiple things at a young age that very many people did not. He took over school that offered different languages and 21 different mathematical and sciences courses. He had accomplished many things as a young adult making him more advanced than
Picture this: a hero of great legends who travels to the underworld and back to get directions to his home from a blind prophet. It sounds like quite an impossible journey, but that is exactly what makes Odysseus all the more fascinating. The Odyssey, an epic poem orally transmitted by Homer, a Greek poet who wrote The Iliad, had to contain some variety of attributes that Greeks valued in a person. That one embodiment of what the Greeks found intriguing in a character is Odysseus. Odysseus is known as what is called an epic hero. An epic hero is a protagonist of a story that represents the most important attributes of a civilization. Odysseus, being based in ancient Greece, is the embodiment of intelligence, loyalty, and strength.
Euclid is one of the most influential and best read mathematician of all time. His prize work, Elements, was the textbook of elementary geometry and logic up to the early twentieth century. For his work in the field, he is known as the father of geometry and is considered one of the great Greek mathematicians. Very little is known about the life of Euclid. Both the dates and places of his birth and death are unknown. It is believed that he was educated at Plato's academy in Athens and stayed there until he was invited by Ptolemy I to teach at his newly founded university in Alexandria. There, Euclid founded the school of mathematics and remained there for the rest of his life. As a teacher, he was probably one of the mentors to Archimedes. Personally, all accounts of Euclid describe him as a kind, fair, patient man who quickly helped and praised the works of others. However, this did not stop him from engaging in sarcasm. One story relates that one of his students complained that he had no use for any of the mathematics he was learning. Euclid quickly called to his slave to give the boy a coin because "he must make gain out of what he learns." Another story relates that Ptolemy asked the mathematician if there was some easier way to learn geometry than by learning all the theorems. Euclid replied, "There is no royal road to geometry" and sent the king to study. Euclid's fame comes from his writings, especially his masterpiece Elements. This 13 volume work is a compilation of Greek mathematics and geometry. It is unknown how much if any of the work included in Elements is Euclid's original work; many of the theorems found can be traced to previous thinkers including Euxodus, Thales, Hippocrates and Pythagoras. However, the format of Elements belongs to him alone. Each volume lists a number of definitions and postulates followed by theorems, which are followed by proofs using those definitions and postulates. Every statement was proven, no matter how obvious. Euclid chose his postulates carefully, picking only the most basic and self-evident propositions as the basis of his work. Before, rival schools each had a different set of postulates, some of which were very questionable. This format helped standardize Greek mathematics. As for the subject matter, it ran the gamut of ancient thought. The
Pythagoras was one of the first true mathematicians who was not only known for the famous Pythagorean theorem. His father was from Tyre while his mother was from Samos but when Pythagoras was born and growing up he spent most of his time in Samos but as he grew he began to spend a lot of time with his father. His father was a merchant and so Pythagoras travelled extensively with him to many places. He learned things as he went along with his father but the primary teacher known to be in his life was Pherekydes. Thales was also a teacher for himself and he learned some from him but he mainly inspired him. Thales was old when Pythagoras was 20 and so Thales told him to go to Egypt and learn more about the subjects he enjoyed which were cosmology and geometry. In Egypt most of the temples where the learning took place refused him entry and the only one that would was called Diospolis. He was then accepted into the priesthood and because of the discussions between the priests he learned more and more about geome...
Carl Friedrich Gauss was born April 30, 1777 in Brunswick, Germany to a stern father and a loving mother. At a young age, his mother sensed how intelligent her son was and insisted on sending him to school to develop even though his dad displayed much resistance to the idea. The first test of Gauss’ brilliance was at age ten in his arithmetic class when the teacher asked the students to find the sum of all whole numbers 1 to 100. In his mind, Gauss was able to connect that 1+100=101, 2+99=101, and so on, deducing that all 50 pairs of numbers would equal 101. By this logic all Gauss had to do was multiply 50 by 101 and get his answer of 5,050. Gauss was bound to the mathematics field when at the age of 14, Gauss met the Duke of Brunswick. The duke was so astounded by Gauss’ photographic memory that he financially supported him through his studies at Caroline College and other universities afterwards. A major feat that Gauss had while he was enrolled college helped him decide that he wanted to focus on studying mathematics as opposed to languages. Besides his life of math, Gauss also had six children, three with Johanna Osthoff and three with his first deceased wife’s best fri...
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...
Euclid of Alexandria was born in about 325 BC. He is the most prominent mathematician of antiquity best known for his dissertation on mathematics. He was able to create “The Elements” which included the composition of many other famous mathematicians together. He began exploring math because he felt that he needed to compile certain things and fix certain postulates and theorems. His book included, many of Eudoxus’ theorems, he perfected many of Theaetetus's theorems also. Much of Euclid’s background is very vague and unknown. It is unreliable to say whether some things about him are true, there are two types of extra information stated that scientists do not know whether they are true or not. The first one is that given by Arabian authors who state that Euclid was the son of Naucrates and that he was born in Tyre. This is believed by historians of mathematics that this is entirely fictitious and was merely invented by the authors. The next type of information is that Euclid was born at Megara. But this is not the same Euclid that authors thought. In fact, there was a Euclid of Megara, who was a philosopher who lived approximately 100 years before Euclid of Alexandria.