Mathematicians 17th century
Matthias Bernegger (latin: Bernegerus or Matthew) was an Austrian and French scientist, astronomer, mathematician, linguist and translator.
He was educated in Strasbourg, where he developed a special interest in astronomy and mathematics. Bernegger corresponded with the famous scientists Johannes Kepler and Wilhelm Schickard. From 1607, Bernegger taught at the Strasbourg Gymnasium, and in 1616 he was appointed professor at the Academy.
Bernegger is known for his translations of Justinian and Tacitus, and in 1612 translated into Latin Galileo's 1606 work on the proportional compass, adding considerably to it. These additional detailed annotations by Bernegger made Galileo's compass much easier to use, making it the first mechanical calculating device that could be applied to a wide variety of complex problems. In 1619 Bernegger prepared a three-volume manual of mathematics, and in 1635 he translated Galileo's Dialogue on the Two Mass Systems of the World.
Jakob Bernoulli was a Swiss mathematician. One of the founders of probability theory and mathematical analysis. Johann Bernoulli's older brother. Proved a special case of the law of large numbers - Bernoulli's theorem. Professor of Mathematics at the University of Basel (since 1687). Foreign member of the Paris Academy of Sciences (1699) and the Berlin Academy of Sciences (1702).
Jacob Bernoulli contributed greatly to the development of analytical geometry and the birth of the calculus of variations. Bernoulli's lemniscate is named after him. He also investigated the cycloid, the chain line, and especially the logarithmic spiral. The last of these curves Jacob willed to be drawn on his grave; through ignorance, Archimedes' spiral was depicted there.
Jacob Bernoulli is credited with significant achievements in series theory, differential calculus, probability theory, and number theory, where the "Bernoulli numbers" are named after him.
Johann Hartmann Beyer was a German physician, mathematician and statesman.
He earned a master's degree in liberal arts at the University of Strasbourg, and then graduated from the University of Tübingen with a doctorate in medicine. In 1588 Beyer returned to his native Frankfurt and began working as a physician; a year later he was appointed Physicus ordinarius - his duties included overseeing the city's health care and pharmacy system.
In 1614 Beyer took up the position of senior burgomaster of Frankfurt, but during the Fetmilch Rebellion he became involved in conflict, was forced to resign and returned to science.
He had the richest library of scientific books, numbering about 2500 volumes, wrote scientific works on astronomy and mathematics, engaged in medical activity, having invented the famous Frankfurt pills. Beyer carried on a lively correspondence with scientists, including mathematician Johannes Kepler, dealing with decimal fractions. Beyer bequeathed his rich inheritance to the city and to charity.
Giovanni Alfonso Borelli was an Italian universalist scientist of the 17th century Scientific Revolution, the founder of biomechanics.
He studied mathematics under Benedetto Castelli (1577-1644) in Rome. In the 1640s Borelli was appointed to the chair of mathematics at the University of Messina and at Pisa in 1656. After 12 years at Pisa and numerous disputes with colleagues, Borelli left the university. In 1667 Borelli returned to the University of Messina, where he engaged in literary and historical studies, studied the eruption of the volcano Etna, and continued to work on the problem of muscular movement of animals and other bodily functions according to the laws of statics and dynamics. In 1674 he was accused of participating in a conspiracy to liberate Sicily from Spain and fled to Rome.
Borelli is known primarily for his attempts to explain muscular movement and other bodily functions according to the laws of statics and dynamics. His best-known work is De Motu Animalium (1680-81; "On the Motion of Animals"). Borelli calculated the forces required for balance in the various joints of the human body, long before Newton published his Laws of Motion. Borelli was the first to realize that musculoskeletal levers increase motion, not force, so muscles must produce much greater forces than those that resist motion. He was also one of the first microscopists: he made microscopic studies of blood circulation, nematodes, textile fibers, and spider eggs. Borelli also authored works on physics, medicine, astronomy, geology, mathematics, and mechanics.
Ismaël Boulliau (Boulliaud), also known as Ismael Bullialdus, was a French astronomer and mathematician who followed the teachings of Copernicus.
Boulliau worked as a librarian for many years and had the opportunity to study the scientific works of Copernicus, Galileo, and Kepler, and as a result became a strong supporter of the heliocentric system of the world. Boulliau was also intimately acquainted with Huygens, Gassendi, Pascal and other prominent scientists of the time, and he translated many works from Greek into Latin.
Boulliau's main astronomical work, published in 1645, was Astronomia philolaica (Astronomy of Philolaus, named after the ancient Greek Pythagorean philosopher Philolaus, who promoted the idea of the motion of the Earth). In it, he supported Kepler's first law that the planets move on ellipses, and provided new evidence for this. Isaac Newton, in Book III of The Mathematical Beginnings of Natural Philosophy, relies on measurements of the magnitudes of planetary orbits determined from observations by Kepler and Boulliau.
Boulliau was also interested in history, theology, classical studies, and philology. He was active in the Republic of Letters, an intellectual community whose members exchanged ideas.
Joachim Bouvet was a French Jesuit monk and missionary who worked in China.
Joachim Bouvet was one of six Jesuit mathematicians chosen by Louis XIV to travel to China as his envoys and work as missionaries and scholars. In 1687 in Beijing, Bouvet began this work, especially in mathematics and astronomy, and in 1697 the Chinese emperor Kangxi (1654-1722) sent him as ambassador to the French king. Kangxi expressed his wish that Bouvet should bring more missionary scientists with him. Thus, in addition to his scholarly work, Bouvet was also an accomplished diplomat and served as a liaison between the Chinese Emperor Kangxi and King Louis XIV of France.
Bouvet brought to France a manuscript describing Kangxi's life with an eye for diplomatic subtleties, as well as a collection of drawings depicting graceful Chinese figures in traditional and ceremonial dress. The first French edition of The Historical Portrait of the Emperor of China was published in Paris in 1697, and was subsequently translated and published in other languages. And Bouvet returned to China in 1699 with ten new missionaries and a collection of King Louis XIV's engravings for Emperor Kangxi. He remained in China for the rest of his life.
Tycho Brahe, born Tyge Ottesen Brahe, more commonly called Tycho, was a prominent Danish astronomer, astrologer, and alchemist of the Renaissance.
As a young man he traveled extensively throughout Europe, studying in Wittenberg, Rostock, Basel, and Augsburg and acquiring mathematical and astronomical instruments. In 1572 Tycho unexpectedly even for himself discovered a new star in Cassiopeia, and the publication of this turned the young Dane into an astronomer of European reputation. For further astronomical research he established an observatory and gathered around him modern progressive scientists.
Besides practicing astronomy, Tycho was an artist, scientist, and craftsman, and everything he undertook or surrounded himself with had to be innovative and beautiful. He even founded a printing house to produce and bind his manuscripts in his own way, and he perfected sanitary ware for convenience. His development of astronomical instruments and his work in measuring and fixing the positions of the stars laid a solid foundation for future discoveries.
Tycho's observations - the most accurate possible before the invention of the telescope - included a comprehensive study of the solar system and the precise positions of more than 777 fixed stars. What Tycho accomplished using only his simple instruments and intellect remains a remarkable achievement of the Renaissance.
Georg Brentel the Younger was a German draftsman, engraver, and author of works on sundials and instrumentation.
He was the son of the cartographer Hans Brentel (1532-1614) and nephew of the armorial artist Georg Brentel the Elder (1525-1610). He always showed an interest in mathematics and astronomy, writing papers on these subjects and making instruments.
Brentel was particularly fond of designing sundials, and wrote several instructions for assembling various types of sundials - round and cubic, cross-shaped and heart-shaped.
Bonaventura Francesco Cavalieri (Latin: Bonaventura Cavalerius) was an Italian mathematician and a Jesuate. He is known for his work on the problems of optics and motion, work on indivisibles, the precursors of infinitesimal calculus, and the introduction of logarithms to Italy. Cavalieri's principle in geometry partially anticipated integral calculus.
René Descartes was a French philosopher, mathematician, and natural scientist who is considered the founder of modern philosophy.
Descartes was a very versatile scientist: besides numerous philosophical reflections, he wrote works on optics, meteorology and geometry. Contemporaries noted his extensive knowledge in many sciences. Descartes owns the famous saying "I think, therefore I exist" (best known in the Latin formulation "Cogito, ergo sum", although it was originally written in French: "Je pense, donc je suis").
He developed a metaphysical dualism that radically distinguished between mind, whose essence is thought, and matter, whose essence is extension in three dimensions. Descartes' metaphysics is rationalistic, based on the postulation of innate ideas of mind, matter, and God, but his physics and physiology, based on sense experience, are mechanistic and empirical.
Unlike his scientific predecessors, who felt a holy awe at the incomprehensibility of the divine essence of the universe, Descartes admired the ability of the human mind to understand the cosmos and to generate happiness itself, and rejected the view that human beings were inherently unhappy and sinful. He believed that it was inappropriate to pray to God to change the state of things and the world; it was much more productive to change oneself.
Johannes Faulhaber was a German mathematician and fortification engineer.
He was a weaver, but studied mathematics and showed such aptitude that the city authorities appointed him the city mathematician and surveyor, a surveyor. In 1600, Faulhaber opened his own school in Ulm, and worked on the fortification of Basel, Frankfurt, and many other cities. He also designed water wheels in Ulm and made mathematical and geodetic instruments, particularly for military purposes.
Among the scientists with whom Faulhaber collaborated were Kepler and van Ceulen. He made the first German publication of Briggs' logarithms, and also made the first illustrated descriptions of Galileo's compass.
Georg Galgemair was a German mathematician and astrologer.
He was born into the family of the burgomaster of Donauwörth, was a pupil of Philip Apian, and then a master of mathematics at the University of Tübingen in 1585. After completing his studies, Galgemair began teaching at Lauingen in 1588.
His work on proportional circles led to the development of gnomonics. In the history of science, Galgemair is known for his works on mathematical instruments. As a calendar maker, he succeeded in 1606 in obtaining an imperial privilege for his calendars.
Galileo Galilei was an Italian naturalist, physicist, mechanic, astronomer, philosopher, and mathematician.
Using his own improved telescopes, Galileo Galilei observed the movements of the Moon, Earth's satellites, and the stars, making several breakthrough discoveries in astronomy. He was the first to see craters on the Moon, discovered sunspots and the rings of Saturn, and traced the phases of Venus. Galileo was a consistent and convinced supporter of the teachings of Copernicus and the heliocentric system of the world, for which he was subjected to the trial of the Inquisition.
Galileo is considered the founder of experimental and theoretical physics. He is also one of the founders of the principle of relativity in classical mechanics. Overall, the scientist had such a significant impact on the science of his time that he cannot be overemphasized.
Pierre Gassendi was a French Catholic priest, Epicurean philosopher, mathematician, astronomer and researcher of ancient texts.
He taught rhetoric at Diné and philosophy at Aix-en-Provence. Gassendi's Syntagma philosophicum, the result of his historical research and philosophical reflections, is a well-known work. Several of his works on astronomy, physics and mechanics were also published in the 17th century.
Christiaan Huygens van Zeelhem was a Dutch mechanic, physicist, mathematician, inventor and astronomer who formulated the wave theory of light.
An admirer of Descartes, Huygens preferred to conduct new experiments himself to observe and formulate laws. In physics, he contributed to the development of the crucial Huygens-Fresnel principle, which applies to wave propagation. He also extensively investigated free fall. He experimentally proved the law of conservation of momentum. He derived the law of centrifugal force for uniform circular motion.
He also invented the pendulum clock, discovered centrifugal force and the true shape of Saturn's rings as well as its moon Titan. Huygens is considered the first theoretical physicist to use formulas in physics and one of the founders of theoretical mechanics and probability theory.
Johannes Kepler was a German mathematician and astronomer who discovered that the Earth and planets move around the Sun in elliptical orbits.
Kepler created the three fundamental laws of planetary motion. He also did seminal work in optics and geometry, calculated the most accurate astronomical tables, and made many inventions and discoveries in physics on which further scientific discoveries by advanced scientists were based.
Athanasius Kircher was a German scholar, inventor, professor of mathematics and oriental studies, and a friar of the Jesuit order.
Kircher knew Greek and Hebrew, did scientific and humanities research in Germany, and was ordained in Mainz in 1628. During the Thirty Years' War he was forced to flee to Rome, where he remained for most of his life, serving as a kind of intellectual and information center for cultural and scientific information drawn not only from European sources but also from an extensive network of Jesuit missionaries. He was particularly interested in ancient Egypt and attempted to decipher hieroglyphics and other riddles. Kircher also compiled A Description of the Chinese Empire (1667), which was long one of the most influential books that shaped the European view of China.
A renowned polymath, Kircher conducted scholarly research in a variety of disciplines, including geography, astronomy, mathematics, languages, medicine, and music. He wrote some 44 books, and more than 2,000 of his manuscripts and letters have survived. He also assembled one of the first natural history collections.
Gottfried Wilhelm Leibniz was a German philosopher and a prominent polymath in many fields of science.
Leibniz was a universal genius; he showed his talents in logic, mathematics, mechanics, physics, law, history, diplomacy, and linguistics, and in each of the disciplines he has serious scientific achievements. As a philosopher, he was a leading exponent of 17th-century rationalism and idealism.
Leibniz was a tireless worker and the greatest scholar of his time. In the fate of Leibniz, among other things, there is one interesting page: in 1697, he accidentally met the Russian Tsar Peter I during his trip to Europe. Their further meetings led to the realization of several grandiose projects in Russia, one of which was the establishment of the Academy of Sciences in St. Petersburg.
Gottfried Wilhelm Leibniz was also the founder and first president of the Berlin Academy of Sciences and a member of the Royal Society of London.
Marin Mersenne (also Marinus Mersennus or le Père Mersenne) was a French mathematician, physicist, philosopher and theologian, and music theorist.
Mersenne was educated at the Jesuit college of La Fleche and went on to study theology in Paris. He also became a member of the Order of the Minims and taught philosophy and theology at Nevers. He developed his ideas about the essence of the world and knowledge, insisting on the importance of experimentation and observation, and contrasted the rational natural world with human reason.
Beginning in 1635, Mersenne founded the Académie Parisienne, the forerunner of the French Academy of Sciences, where France's leading mathematicians and natural philosophers gathered. It provided a forum for the exchange of ideas among scientists and promoted the works of René Descartes and Galileo. The scientist's most famous achievement in mathematics was finding a formula for generating prime numbers, known today as Mersenne's Numbers. In 1644, Mersenne published his studies of Mersenne numbers and their relationship to prime numbers. His work in number theory and arithmetic proved pivotal to the development of mathematics in the seventeenth century.
He corresponded with many other scientists of the era, such as René Descartes, Blaise Pascal, and Pierre Fermat. However, his contributions extend much further, through his role in disseminating the work of the outstanding minds of his time. Mersenne traveled extensively throughout Europe, bringing new scientific ideas to France. He was an important mediator in the exchange of knowledge and contributed to the advancement of science in his era.
Isaac Newton was an English mathematician, physicist, astronomer, alchemist, theologian, and author (described in his time as a "natural philosopher"), widely recognised as one of the greatest mathematicians and physicists and among the most influential scientists of all time. He was a key figure in the philosophical revolution known as the Enlightenment. His book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published in 1687, established classical mechanics. Newton also made seminal contributions to optics, and shares credit with German mathematician Gottfried Wilhelm Leibniz for developing infinitesimal calculus.
In the Principia, Newton formulated the laws of motion and universal gravitation that formed the dominant scientific viewpoint until it was superseded by the theory of relativity. Newton used his mathematical description of gravity to derive Kepler's laws of planetary motion, account for tides, the trajectories of comets, the precession of the equinoxes and other phenomena, eradicating doubt about the Solar System's heliocentricity. He demonstrated that the motion of objects on Earth and celestial bodies could be accounted for by the same principles. Newton's inference that the Earth is an oblate spheroid was later confirmed by the geodetic measurements of Maupertuis, La Condamine, and others, convincing most European scientists of the superiority of Newtonian mechanics over earlier systems.
Agostino Ramelli was an Italian military engineer and mechanic who worked in the fields of fortification and practical mechanics.
Ramelli studied mathematics, mechanics, and engineering under Giacomo di Marignano, who is considered a disciple of Leonardo da Vinci. He first showed his talents as a mechanic during Louis XIII's military campaign by constructing a mine under a bastion.
Ramelli invented many mechanisms that impressed his contemporaries, including their special aesthetic appeal. His most popular creation is the so-called Ramelli Book Wheel, a rotating reading table. Agostino Ramelli positioned his invention as a sleek design that allowed access to several books without having to get up from his seat.
Ramelli wrote and illustrated a book of engineering projects, Le various et artificiose machine ("Various and Artificial Machines"). The book contains 195 designs, over 100 of which are water-lifting machines, such as water pumps or wells, as well as bridges, mills, and so on. This very interesting book for our contemporaries is still published and is still in demand.
Vincenzo Renieri, born Giovanni Paolo, was an Italian priest, astronomer and mathematician.
Renieri was a member of the Olivetan Order and traveled throughout Italy. In 1633 in Siena, he met the already blind Galileo, who, appreciating his knowledge, instructed him to update his astronomical tables of the motion of the satellites of Jupiter, adding new ones. Rainieri later met the astronomer and scientist Vincenzo Viviani (1622-1703), with whom he worked for many years, continuing Galileo's observations of Jupiter's moons.
Renieri was also professor of mathematics at the University of Pisa and taught Greek there. In 1639 he published his work Tabulae Mediceae secundorum Mobilium Universales in Florence. One of the lunar craters is named after Renieri.
Johann Zahn (German: Johann or Johannes Zahn) was a German scientist and philosopher, optician and astronomer, mathematician and inventor.
Zahn studied mathematics and physics at the University of Würzburg, was professor of mathematics at the University of Würzburg, and served as a canon of the Order of Regular Canon Premonstratensians. His other activities were optics as well as astronomical observations.
In 1686 Johann Zahn invented and designed a portable camera obscura with fixed lenses and an adjustable mirror, which is the prototype of the camera. In his treatise on optics, Oculus Artificialis Teledioptricus (1702), Zahn gives a complete picture of the state of optical science of his time. He begins with basic information about the eye and then moves on to optical instruments. The book is aimed at eighteenth-century microscope and telescope enthusiasts and includes all the necessary details of construction, from lens grinding to drawings.