The Olympia Academy (German: Akademie Olympia ) was a group of friends in Bern , Switzerland , who met – usually at Albert Einstein 's apartment – to discuss philosophy and physics.
31-528: The group was founded in 1902 by Einstein, Conrad Habicht , and Maurice Solovine , and played a significant role in Einstein's intellectual development. Before his " miracle year " (1905), when Einstein was a patent clerk in Bern , the group of friends met to debate books in the fields of physics and philosophy. The group's origin lay in Einstein's need to offer private lessons in mathematics and physics in order to make
62-399: A European mathematician is a stub . You can help Misplaced Pages by expanding it . Mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems . Mathematicians are concerned with numbers , data , quantity , structure , space , models , and change . One of the earliest known mathematicians
93-560: A dissertation on series of circles by Steiner. He studied violin. Conrad's brother Paul was active in early development of automobile engines and had many Swiss patents. Habicht taught university master's level mathematics and physics 11 years at Schiers in the Canton of the Graubünden where he also played violin. Then he taught mathematics and physics 33 years at Schaffhausen Canton high school, retiring in 1948. Habicht and Einstein invented
124-471: A financial economist might study the structural reasons why a company may have a certain share price , a financial mathematician may take the share price as a given, and attempt to use stochastic calculus to obtain the corresponding value of derivatives of the stock ( see: Valuation of options ; Financial modeling ). According to the Dictionary of Occupational Titles occupations in mathematics include
155-500: A living (in 1901, before he took up his post at the patent office in Bern). Solovine, a Romanian philosophy student, answered Einstein's newspaper advertisement. In fact neither the tutorials nor any payment materialised; instead, the two began to meet regularly to discuss their shared interest in physics and philosophy. They were soon joined by the mathematician Habicht, who was Einstein's neighbour at Schaffhausen ; in 1902 they named themselves
186-400: A manner which will help ensure that the plans are maintained on a sound financial basis. As another example, mathematical finance will derive and extend the mathematical or numerical models without necessarily establishing a link to financial theory, taking observed market prices as input. Mathematical consistency is required, not compatibility with economic theory. Thus, for example, while
217-605: A meter for measuring very small electric potentials in millivolts with Conrad's brother Paul. Einstein wrote to Habicht about his first attempt to explain the perihelion advance of Mercury. Habicht wrote and published a book in Swiss German, biography of Gustav Kugler 1874-1939 a Rector of the Schaffhausen Canton school. He also published 5 editions of his mathematics in addition to his dissertation. Between 1943 and 1947 Habicht published another 6 books in 10 editions about
248-766: A political dispute, the Christian community in Alexandria punished her, presuming she was involved, by stripping her naked and scraping off her skin with clamshells (some say roofing tiles). Science and mathematics in the Islamic world during the Middle Ages followed various models and modes of funding varied based primarily on scholars. It was extensive patronage and strong intellectual policies implemented by specific rulers that allowed scientific knowledge to develop in many areas. Funding for translation of scientific texts in other languages
279-420: Is mathematics that studies entirely abstract concepts . From the eighteenth century onwards, this was a recognized category of mathematical activity, sometimes characterized as speculative mathematics , and at variance with the trend towards meeting the needs of navigation , astronomy , physics , economics , engineering , and other applications. Another insightful view put forth is that pure mathematics
310-451: Is a mathematical science with specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on problems, often concrete but sometimes abstract. As professionals focused on problem solving, applied mathematicians look into the formulation, study, and use of mathematical models in science , engineering , business , and other areas of mathematical practice. Pure mathematics
341-400: Is not necessarily applied mathematics : it is possible to study abstract entities with respect to their intrinsic nature, and not be concerned with how they manifest in the real world. Even though the pure and applied viewpoints are distinct philosophical positions, in practice there is much overlap in the activity of pure and applied mathematicians. To develop accurate models for describing
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#1732852780630372-871: The Akademie Olympia , and though a friend would occasionally join them in one of their meetings, the Academy remained essentially just the trio of Einstein, Habicht, and Solovine until the latter two left Bern in 1904 and 1905 respectively. The first book that Einstein suggested for reading was Karl Pearson 's The Grammar of Science . The three discussed their own work and also books such as Ernst Mach ’s Analyse der Empfindungen (Analysis of Sensations) , Henri Poincaré 's La Science et l'Hypothèse (Science and Hypothesis) , John Stuart Mill ’s A System of Logic , David Hume ’s Treatise of Human Nature , and Baruch Spinoza ’s Ethics , and sometimes literary works such as Miguel de Cervantes ' Don Quixote . Despite
403-634: The Pythagorean school , whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia of Alexandria ( c. AD 350 – 415). She succeeded her father as librarian at the Great Library and wrote many works on applied mathematics. Because of
434-656: The Schock Prize , and the Nevanlinna Prize . The American Mathematical Society , Association for Women in Mathematics , and other mathematical societies offer several prizes aimed at increasing the representation of women and minorities in the future of mathematics. Several well known mathematicians have written autobiographies in part to explain to a general audience what it is about mathematics that has made them want to devote their lives to its study. These provide some of
465-478: The graduate level . In some universities, a qualifying exam serves to test both the breadth and depth of a student's understanding of mathematics; the students who pass are permitted to work on a doctoral dissertation . Mathematicians involved with solving problems with applications in real life are called applied mathematicians . Applied mathematicians are mathematical scientists who, with their specialized knowledge and professional methodology, approach many of
496-578: The Italian and German universities, but as they already enjoyed substantial freedoms and autonomy the changes there had begun with the Age of Enlightenment , the same influences that inspired Humboldt. The Universities of Oxford and Cambridge emphasized the importance of research , arguably more authentically implementing Humboldt's idea of a university than even German universities, which were subject to state authority. Overall, science (including mathematics) became
527-469: The Swiss view of the world around them. He also published an education article about technical supervision of students. Habicht only published in Swiss German language. Habicht was in retirement from teaching ten years, continuing to direct a local music academy until 1958. He died four years later after injury in an accident, survived by his wife, four children and ten grand children. This article about
558-545: The brief existence of the Academy, it had a lasting effect on the three friends; they remained in touch throughout their lives, and Einstein was to say that it had had an effect on his later scientific career. Conrad Habicht Conrad Habicht (28 December 1876 in Schaffhausen – 23 October 1958 in Schaffhausen) was a Swiss mathematician and close personal friend of Albert Einstein . Together with Maurice Solovine ,
589-494: The focus of universities in the 19th and 20th centuries. Students could conduct research in seminars or laboratories and began to produce doctoral theses with more scientific content. According to Humboldt, the mission of the University of Berlin was to pursue scientific knowledge. The German university system fostered professional, bureaucratically regulated scientific research performed in well-equipped laboratories, instead of
620-992: The following. There is no Nobel Prize in mathematics, though sometimes mathematicians have won the Nobel Prize in a different field, such as economics or physics. Prominent prizes in mathematics include the Abel Prize , the Chern Medal , the Fields Medal , the Gauss Prize , the Nemmers Prize , the Balzan Prize , the Crafoord Prize , the Shaw Prize , the Steele Prize , the Wolf Prize ,
651-629: The imposing problems presented in related scientific fields. With professional focus on a wide variety of problems, theoretical systems, and localized constructs, applied mathematicians work regularly in the study and formulation of mathematical models . Mathematicians and applied mathematicians are considered to be two of the STEM (science, technology, engineering, and mathematics) careers. The discipline of applied mathematics concerns itself with mathematical methods that are typically used in science, engineering, business, and industry; thus, "applied mathematics"
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#1732852780630682-569: The kind of research done by private and individual scholars in Great Britain and France. In fact, Rüegg asserts that the German system is responsible for the development of the modern research university because it focused on the idea of "freedom of scientific research, teaching and study." Mathematicians usually cover a breadth of topics within mathematics in their undergraduate education , and then proceed to specialize in topics of their own choice at
713-470: The king of Prussia , Fredrick William III , to build a university in Berlin based on Friedrich Schleiermacher 's liberal ideas; the goal was to demonstrate the process of the discovery of knowledge and to teach students to "take account of fundamental laws of science in all their thinking." Thus, seminars and laboratories started to evolve. British universities of this period adopted some approaches familiar to
744-531: The probability and likely cost of the occurrence of an event such as death, sickness, injury, disability, or loss of property. Actuaries also address financial questions, including those involving the level of pension contributions required to produce a certain retirement income and the way in which a company should invest resources to maximize its return on investments in light of potential risk. Using their broad knowledge, actuaries help design and price insurance policies, pension plans, and other financial strategies in
775-484: The real world, many applied mathematicians draw on tools and techniques that are often considered to be "pure" mathematics. On the other hand, many pure mathematicians draw on natural and social phenomena as inspiration for their abstract research. Many professional mathematicians also engage in the teaching of mathematics. Duties may include: Many careers in mathematics outside of universities involve consulting. For instance, actuaries assemble and analyze data to estimate
806-403: The seventeenth century at Oxford with the scientists Robert Hooke and Robert Boyle , and at Cambridge where Isaac Newton was Lucasian Professor of Mathematics & Physics . Moving into the 19th century, the objective of universities all across Europe evolved from teaching the "regurgitation of knowledge" to "encourag[ing] productive thinking." In 1810, Alexander von Humboldt convinced
837-683: The three founded the Olympia Academy , an informal circle of friends who met together in Bern from 1902 to 1904 to discuss physics and philosophy. Habicht and Solovine were the only two witnesses to Einstein's 1903 wedding to Mileva Marić . Habicht was the recipient of Einstein's 1905 letter in which Einstein described his Annus mirabilis papers . Habich also received Einstein's letter about quanta. Einstein and Solovine lost contact with Habicht but regained contact in 1947. A book of letters between Einstein and Habicht in German Language
868-938: Was Al-Khawarizmi . A notable feature of many scholars working under Muslim rule in medieval times is that they were often polymaths. Examples include the work on optics , maths and astronomy of Ibn al-Haytham . The Renaissance brought an increased emphasis on mathematics and science to Europe. During this period of transition from a mainly feudal and ecclesiastical culture to a predominantly secular one, many notable mathematicians had other occupations: Luca Pacioli (founder of accounting ); Niccolò Fontana Tartaglia (notable engineer and bookkeeper); Gerolamo Cardano (earliest founder of probability and binomial expansion); Robert Recorde (physician) and François Viète (lawyer). As time passed, many mathematicians gravitated towards universities. An emphasis on free thinking and experimentation had begun in Britain's oldest universities beginning in
899-466: Was Thales of Miletus ( c. 624 – c. 546 BC ); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry , by deriving four corollaries to Thales's theorem . The number of known mathematicians grew when Pythagoras of Samos ( c. 582 – c. 507 BC ) established
930-431: Was ongoing throughout the reign of certain caliphs, and it turned out that certain scholars became experts in the works they translated, and in turn received further support for continuing to develop certain sciences. As these sciences received wider attention from the elite, more scholars were invited and funded to study particular sciences. An example of a translator and mathematician who benefited from this type of support
961-561: Was published in 2000. Habicht came from a middle class family in Schaffhausen and grew up there with four brothers and sisters. Son of Johann Conrad Habicht, merchant, and Susanna Elisabetha Oechslin, from Schaffhausen. In 1913 he married Anna Margarethe Kehlstadt, teacher, from Basel. He studied mathematics and physics in Zurich, Munich and Berlin, earning a doctors degree in 1903 at Bern, writing