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We outline an unified introduction to the evolution equations of classical and quantum systems intended for a high school students audience. The attempt consists in circumventing the lack of mathematical knowledge with the use of simplified…

Physics Education · Physics 2017-06-01 Emilio Balzano , Eliana D'Ambrosio , Rodolfo Figari

Satanandacharya the astronomer and mathematician of 11th century was born in 1068 C.E. at Purusottamdham Puri of Odisha wrote the scripture Bhasvati in 1099 C.E.. The scripture has significant contribution to world of Astronomy and…

History and Philosophy of Physics · Physics 2019-04-09 Dr Sudhira Panda

The purpose of this note consists of discrete rational reconstruction which took place during the years 1609-1630 and 1630-1666, ie, the year of the publication of their Astronomia Nova and the year of death of the great German astronomer…

History and Overview · Mathematics 2010-08-24 Jonathan Taborda

In his famous work, "Measurement of a Circle," Archimedes described a procedure for measuring both the circumference of a circle and the area it bounds. Implicit in his work is the idea that his procedure defines these quantities. Modern…

History and Overview · Mathematics 2020-09-16 David Weisbart

The principle that celestial bodies must move on circular orbits or on paths resulting from the composition of circular orbits has been assumed as a constant guide in the astronomical thougth of the peoples facing the Mediterranean sea as…

History and Philosophy of Physics · Physics 2007-05-23 Dino Boccaletti

Johannes Hevelius's 1662 Mercurius in Sole Visus Gedani contains a table of magnitudes and apparent telescopic diameters of nineteen stars. The data conform to a simple model, suggesting that Hevelius produced what is essentially a table of…

History and Philosophy of Physics · Physics 2010-03-26 Christopher M. Graney

The interdisciplinary topic of archaeo-astronomy links science subjects such as astronomy with archaeology and sociology to explore how ancient societies perceived the heavens above. This is achieved by analysing ancient sites such as…

Physics Education · Physics 2012-03-06 D. Brown , L. Canas

From the late 1920s to the early 1950s, cosmic rays were the main instrument to investigate what we now call "high-energy physics". In approximately 25 years, an intense experimental and theoretical work brought particle physics from its…

History and Philosophy of Physics · Physics 2018-04-16 Giulio Peruzzi , Sofia Talas

The concept of number and its generalization has played a central role in the development of mathematics over many centuries and many civilizations. Noteworthy milestones in this long and arduous process were the developments of the real…

Mathematical Physics · Physics 2007-10-02 Garret Sobczyk

In 1834-1835, Hamilton published two papers that revolutionized classical mechanics. In these papers, he introduced the Hamilton-Jacobi equation, Hamilton's equations of motion and the principle of least action. These three formulations of…

Classical Physics · Physics 2023-08-30 David J. Tannor

We discuss the work of a brilliant line of Mathematicians who lived in central Kerala and starting with its founder Madhava (1350 CE) developed what can best be described as Calculus and applied it to a class of trigonometric functions. We…

History and Overview · Mathematics 2023-04-10 Vijay A. Singh

Georges Lemaitre was a remarkable contributor to the advancement of cosmology in the heady years following two great revolutions in theoretical physics in the last century: general relativity and quantum mechanics. In the present century,…

History and Philosophy of Physics · Physics 2020-07-21 Simon A. Mitton

In the 17th Century, the Dutch Republic played an important role in the scientific revolution. Much of the correspondence among contemporary scientists and their associates is now digitally available through the ePistolarium webtool,…

History and Philosophy of Physics · Physics 2015-01-06 Richard de Grijs

The 'Konstantinov System' was a non-standard educational institution created by the great mathematical educator Nikolay Konstantinov (1932-2021), this 'System' worked (mainly in Moscow) in 1960-80s. We discuss some sides of technologies of…

History and Overview · Mathematics 2021-10-08 Yury A. Neretin

We provide a brief biography of seven French astronomers and physicists and of a Russian astronomer from the 19th and 20th centuries. Roger Bouigue (1920-) was the director of Toulouse Observatory in the 1960s. Claude-Louis Mathieu…

History and Philosophy of Physics · Physics 2012-08-24 Emmanuel Davoust

In 1626, the Venetian physician Santorio Santorio published the details of his pulsilogium, a stop clock that could accurately measure one's pulse rate. He applied Galileo Galilei's insights that the frequency of a pendulum's oscillation is…

History and Philosophy of Physics · Physics 2017-02-20 Richard de Grijs , Daniel Vuillermin

Popular accounts of exciting discoveries often draw students to physics and astronomy, but at the introductory level it is challenging to connect with these in a meaningful way. The use of real astronomical data in the classroom can help…

Physics Education · Physics 2021-03-16 Jeffrey M. Hyde

With the theory of general relativity, Einstein abolished the interpretation of gravitation as a force and associated it to the curvature of spacetime. Tensorial calculus and differential geometry are the mathematical resources necessary to…

General Relativity and Quantum Cosmology · Physics 2019-04-04 R. R. Cuzinatto , C. A. M. de Melo , C. Naldoni de Souza

Jonathan M. Borwein (1951-2016) was a prolific mathematician whose career spanned several countries (UK, Canada, USA, Australia) and whose many interests included analysis, optimisation, number theory, special functions, experimental…

History and Overview · Mathematics 2021-11-02 Richard P. Brent

This paper was given to mark the centenary of the death of David Gill, the foremost British astronomer in the last quarter of the 19th century and into the 20th century. Gill abandoned a successful career as a clock and watchmaker. His…

History and Philosophy of Physics · Physics 2017-12-13 John S. Reid
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