The European Renaissance_History Of Mathematics(Rigino)
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The document discusses developments in mathematics during the Renaissance period from the 14th to 17th centuries. Some key points covered include: - The Renaissance marked a rebirth of interest in ancient Greek and Roman knowledge and culture. - Important mathematicians like Regiomontanus, Luca Pacioli, and Rafael Bombelli helped establish algebra and made advances in calculating square roots and solving equations. - Trigonometry advanced through the work of Copernicus, Rheticus, and Regiomontanus, who created early trigonometric tables. - Other areas of mathematics like geometry, cartography, and applications to fields like mechanics and optics also progressed during this period.
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The European Renaissance_History Of Mathematics(Rigino)
- 1. RIGINO T. MACUNAY, JR. MAED-MATHEMATICS 2ND SEM 2016 - 2017
- 2. RENAISSANCE -REBIRTH -invention of a metal movable- type printing
- 3. Renaissance • The Renaissance was a period in European history, from the 14th to the 17th century, regarded as the cultural bridge between the Middle Ages and modern history. • The Renaissance was a period in European history. It began in the 1300s, during the late Middle Ages. It ended during the 1500s, when the modern era began.Renaissance means "rebirth" in French. During theRenaissance there was a rebirth of interest in ancient Greece and Rome
- 5. • -explanation of the Hindu- Arabic numerals & exponential notations Nicolas Chuquet’s Triparty
- 6. …part 2 =√14-√180 (modern) =R)².14 m. R)²180 =6x² (modern) =.6. ²
- 7. Luca Pacioli’s Summa • Arithmetic=devices for multiplication and for finding square roots • Algebra=standard solution on linear & quadratic equations
- 8. German Algebras and Arithmetics • Stifel’s Arithmetica Integra • 2‾²= 𝟏 𝟒
- 9. Cardan Ars Magna • Arithmetic=devices for multiplication and for finding square roots • Algebra=standard solution on linear & quadratic equations
- 10. Rafael Bombelli • Rafael Bombelli was an Italian mathematician. Born in Bologna, he is the author of a treatise on algebra and is a central figure in the understanding of imaginary numbers.
- 11. Robert Recorde
- 14. Trigonometry • Copernicus and Rheticus Nicolaus Copernicus was a Renaissance mathematician and astronomer who formulated a model of the universe that placed the Sun rather than the Earth at the center of the universe, likely independentl Georg Joachim de Porris, also known as Rheticus, was a mathematician, cartographer, navigational-instrument maker, medical practitioner, and teacher. He is perhaps best known for his trigonometric tables and as Nicolaus Copernicus's sole pupil.
- 15. Rheticus • From Muslim Spain, trigonometric tables spread to Latin Europe. Regiomontanus (1436–76), German astronomer and mathematician, composed the first tables with decimal values. Similarly, Georg Joachim Rheticus (1514–74), a student of Nicolaus Copernicus, prepared a magnificent set of tables of all six trigonometric functions at 10″ increments accurate to 10 decimal places. Rheticus also took the decisive steps of defining the trigonometric functions in terms of angles rather than arcs and as ratios rather than lengths
- 18. Cartography • the science or practice of drawing maps. • -Peter Apian • -Gerard Mercator
- 19. Renaissance Trends • Mathematics had been widely applied to bookkeeping, mechanics, surveying, art, cartography, and optics
- 20. Francois Viete
- 21. The Analytic Art • BA²+CA+D=0 The Approximate Solution of Equations Trigonometric Solution of Equations
Editor's Notes
- Euclid sometimes called Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "father of geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BCE). His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century.[1][2][3] In the Elements, Euclid deduced the principles of what is now called Euclidean geometry from a small set of axioms. -Euclid, the author of the most successful mathematics textbook ever written—the Elements (Stoichia).
- Archimedes of Syracuse (/ˌɑːkɪˈmiːdiːz/;[2] Greek: Ἀρχιμήδης; c. 287 – c. 212 BC) was a Greek mathematician, physicist, engineer, inventor, and astronomer.[3] Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Generally considered the greatest mathematician of antiquity and one of the greatest of all time,[4][5] Archimedes anticipated modern calculus and analysis by applying concepts of infinitesimals and the method of exhaustion to derive and rigorously prove a range of geometrical theorems, including the area of a circle, the surface area and volume of a sphere, and the area under a parabola.[6]