Sofia Kovalevskaya, Russian Mathematician

Sofia Kovalevskaya, Russian Mathematician Sofia Kovalevskayas father, Vasily Korvin-Krukovsky, was a general in the Russian Army and was part of Russian nobility. Her mother,   Yelizaveta Shubert,  was from a German family with many scholars; her maternal grandfather and great-grandfather were both mathematicians. She was born in Moscow, Russia, in 1850. Background Known for: first woman to hold a university chair in modern Europefirst woman on the editorial staff of a mathematical journal Dates:  January 15, 1850 - February 10, 1891 Occupation:  novelist,  mathematician Also known as:  Also known as: Sonya Kovalevskaya, Sofya Kovalevskaya, Sophia Kovalevskaia, Sonia Kovelevskaya, Sonya Korvin-Krukovsky Learning Mathematics As a young child Sofia Kovalevskaya was fascinated with the unusual wallpaper on the wall of a room on the family estate: the lecture notes of Mikhail Ostrogradsky on differential and integral calculus. Although her father provided her with private tutoring- including calculus at age 15- he would not allow her to study abroad for further education, and Russian universities would not then admit women. But Sofia Kovalevskaya wanted to continue her studies in mathematics, so she found a solution: an amenable young student of paleontology, Vladimir Kovalensky, who entered into a marriage of convenience with her. This allowed her to escape the control of her father. In 1869, they left Russia with her sister, Anyuta. Sonja went to Heidelberg, Germany, Sofia Kovalensky went to Vienna, Austria, and Anyuta went to Paris, France. University Study In Heidelberg, Sofia Kovalevskaya obtained permission of the mathematics professors to allow her to study at the University of Heidelberg. After two years she went to Berlin to study with Karl Weierstrass. She had to study privately with him, as the university in Berlin would not allow any women to attend class sessions, and Weierstrass was unable to get the university to change the rule. With Weierstrass support Sofia Kovalevskaya pursued a degree in mathematics elsewhere, and her work earned her a doctorate sum cumma laude from the University of Gà ¶ttingen in 1874. Her doctoral dissertation on partial differential equations is today called the Cauch-Kovelevskaya Theorem. It so impressed the faculty that they awarded Sofia  Kovalevskaya the doctorate without examination and without her having attended any classes at the university. Looking for Work Sofia Kovalevskaya and her husband returned to Russia after she earned her doctorate. They were unable to find the academic positions they desired. They pursued commercial ventures and produced a daughter as well. Sofia Kovalevskaya began writing fiction, including a novella Vera Barantzova which won sufficient acclaim to be translated into several languages. Vladimir Kovalensky, immersed in a financial scandal for which he was about to be prosecuted, committed suicide in 1883. Sofia Kovalevskaya had already returned to Berlin and mathematics, taking their daughter with her. Teaching and Publishing She became a privatdozent at Stockholm University, paid by her students rather than the university. In 1888 Sofia Kovalevskaya won the Prix Bordin from the French Academie Royale des Sciences for research now called the Kovelevskaya top. This research examined how Saturns rings rotated. She also won a prize from the Swedish Academy of Sciences in 1889, and that same year was appointed to a chair at the university- the first woman appointed to a chair at a modern European university. She was also elected to the Russian Academy of Sciences as a member that same year. She only published ten papers before her death from influenza in 1891, after a trip to Paris to see Maxim Kovalensky, a relative of her late husband with whom she was having a love affair. A lunar crater on the far side of the moon from Earth and an asteroid were both named in her honor. Sources Ann Hibner Koblitz. A Convergence of Lives: Sofia Kovalevskaia: Scientist, Writer, Revolutionary. 1993 reprint.Roger Cooke. The Mathematics of Sonya Kovalevskaya. 1984.Linda Keene, editor. The Legacy of Sonya Kovalevskaya: Proceedings of a Symposium. 1987.

Tale of Troy or Iliad - The Story Behind the Trojan War

Tale of Troy or Iliad - The Story Behind the Trojan War During the time when gods were petty and cruel, three of the leading goddesses had a contest to determine who was most beautiful. They contended for the prize of Eris golden apple, an apple no less dangerous than the one in the story of Snow White, despite its lack of consumable poison. To make the contest objective, the goddesses hired a human judge, Paris (also called Alexander), son of the Eastern potentate, Priam of Troy. Since Paris was to be paid according to the largesse of the winner, the contest was really to see who provided the most attractive incentive. Aphrodite won hands down, but the prize she offered was the wife of another man. Paris, after seducing Helen while a guest in the palace of her husband, King Menelaus of Sparta, went blithely on his way back to Troy with Helen. This abduction and violation of all rules of hospitality launched 1000 (Greek) ships to bring Helen back to Menelaus. Meanwhile, King Agamemnon of Mycenae, summoned the tribal kings from all over Greece to come to the aid of his cuckolded brother. Two of his best men one a strategist and the other a great warrior were Odysseus (aka Ulysses) of Ithaca, who would later come up with the idea of the Trojan Horse, and Achilles of Phthia, who may have married Helen in the Afterlife. Neither of these men wanted to join the fray; so they each devised a draft-dodging ruse worthy of M.A.S.H.s Klinger. Odysseus feigned madness by plowing his field destructively, perhaps with mismatched draft animals, perhaps with salt (a powerful destructive agent used according to legend at least one other time by the Romans on Carthage). Agamemnons messenger placed Telemachus, Odysseus infant son, on the path of the plough. When Odysseus swerved to avoid killing him, he was recognized as sane. Achilles with blame for cowardice conveniently laid at the feet of his mother, Thetis was made to look like and live with the maidens. Odysseus tricked him with the lure of a peddlers bag of trinkets. All the other maidens reached for the ornaments, but Achilles grabbed the sword stuck in their midst. The Greek (Achaean) leaders met together at Aulis where they awaited Agamemnons command to set sail. When an inordinate amount of time had passed and the winds still remained unfavorable, Agamemnon sought the services of Calchas the seer. Calchas told him that Artemis was angry with Agamemnon perhaps because he had promised her his finest sheep as a sacrifice to the goddess, but when the time came to sacrifice a golden sheep, he had, instead, substituted an ordinary one and to appease her, Agamemnon must sacrifice his daughter Iphigenia .... Upon the death of Iphigenia, the winds became favorable and the fleet set sail. Â   Trojan War FAQs [Summary: The head of the Greek forces was the proud king Agamemnon. He had killed his own daughter, Iphigenia, in order to appease the goddess Artemis (big sister of Apollo, and one of the children of Zeus and Leto), who was angry with Agamemnon and so, had stalled the Greek forces on the coast, at Aulis. In order to set sail for Troy they needed a favorable wind, but Artemis ensured the winds would fail to cooperate until Agamemnon had satisfied her by performing the required sacrifice of his own daughter. Once Artemis was satisfied, the Greeks set sail for Troy where to fight the Trojan War.] Agamemnon did not stay in the good graces of either of the children of Leto for long. He soon incurred the wrath of her son, Apollo. In revenge, Apollo the mouse god caused an outbreak of plague to lay the troops low. Agamemnon and Achilles had received the young women Chryseis and Briseis as prizes of war or war brides. Chryseis was the daughter of Chryses, who was a priest of Apollo. Chryses wanted his daughter back and even offered a ransom, but Agamemnon refused. Calchas the seer advised Agamemnon on the connection between his behavior toward the priest of Apollo and the plague that was decimating his army. Agamemnon had to return Chryseis to the priest of Apollo if he wanted the plague to end. After much Greek suffering, Agamemnon agreed to the recommendation of Calchas the seer, but only on condition that he take possession of the war prize of Achilles Briseis as a replacement. A minor point to think about: When Agamemnon had sacrificed his daughter Iphigenia, he hadnt required his fellow Greek aristocrats to give him a new daughter. No one could stop Agamemnon. Achilles was enraged. The honor of the leader of the Greeks, Agamemnon, had been assuaged, but what about the honor of the greatest of the Greek heroes Achilles? Following the dictates of his own conscience, Achilles could no longer cooperate, so he withdrew his troops (the Myrmidons) and sat on the sidelines. With the help of fickle gods, the Trojans began to inflict heavy personal damages on the Greeks, as Achilles and the Myrmidons sat on the sidelines. Patroclus, Achilles friend (or lover), persuaded Achilles that his Myrmidons would make the difference in the battle, so Achilles let Patroclus take his men as well as Achilles personal armor so that Patroclus would appear to be Achilles in the battlefield. It worked, but since Patroclus was not so great a warrior as Achilles, Prince Hector, the noble son of Trojan King Priam, struck Patroclus down. What even Patroclus words had failed to do, Hector accomplished. The death of Patroclus spurred Achilles into action and armed with a new shield forged by Hephaestus, the blacksmith of the gods (as a favor for Achilles sea goddess mother Thetis) Achilles went into battle. Achilles soon avenged himself. After killing Hector, he tied the body to the back of his war chariot, The grief-maddened Achilles then dragged Hectors corpse through the sand and dirt for days. In time, Achilles calmed down and returned the corpse of Hector to his grieving father. In a later battle, Achilles was killed by an arrow to the one part of his body Thetis had held when she had dipped the baby Achilles into the River Styx to confer immortality. With Achilles death, the Greeks lost their greatest fighter, but they still had their best weapon. [Summary: The greatest of the Greek heroes Achilles was dead. The 10-year Trojan War, which had begun when the Greeks set sail to retrieve Menelaus wife, Helen, form the Trojans, was at a stalemate.] Crafty Odysseus devised a plan that ultimately doomed the Trojans. Sending all the Greek ships away or into hiding, it appeared to the Trojans that the Greeks had given up. The Greeks left a parting gift in front of the walls of the city of Troy. it was a giant wooden horse which appeared to be an offering to Athena a peace offering. The jubilant Trojans dragged the monstrous, wheeled, wooden horse into their city to celebrate the end of the 10 years of fighting. Who Really Built the Trojan Horse?What Is the Trojan Horse? But beware of Greeks bearing gifts! Having won the war, the filicidal King Agamemnon went back to his wife for the reward he so richly deserved. Ajax, who had lost out to Odysseus in the contest for Achilles arms, went crazy and killed himself. Odysseus set out on the voyage (Homer, according to tradition, tells in The Odyssey, which is the sequel to The Iliad) that made him more famous than his help with Troy. And Aphrodites son, the Trojan hero Aeneas, set out from his burning homeland carrying his father on his shoulders on his way to Dido, in Carthage, and, finally, to the land that was to become Rome. Were Helen and Menelaus reconciled? According to Odysseus they were, but thats part of a future story.