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So far, the most magnificent breakthrough in mathematics in the 21st century is the Geometrization Theorem, a bold conjecture by William Thurston (generalizing Poincar\'e's Conjecture) and proved by Grigory Perelman, based on the program…

Differential Geometry · Mathematics 2022-10-19 Izabella Muraro de Freitas , Álvaro Krüger Ramos

We study how the paradigm of Newton's science, based on the organization of scientific knowledge as a series of mathematical laws, was definitively accepted in science courses - in the last decades of the XVIII century, in England as well…

History and Philosophy of Physics · Physics 2012-04-16 S. Esposito , E. Schettino

In the late 1620s the Neapolitan telescope maker Francesco Fontana was the first to observe the sky using a telescope with two convex lenses, which he had manufactured himself. Fontana succeeded in drawing the most accurate maps of the…

History and Philosophy of Physics · Physics 2017-04-20 Paolo Molaro

This article focuses on an important piece of work of the world renowned Indian statistician, Calyampudi Radhakrishna Rao. In 1945, C. R. Rao (25 years old then) published a pathbreaking paper, which had a profound impact on subsequent…

Information Theory · Computer Science 2023-04-04 Frank Nielsen

The objective of this paper is not simply to present an historical overview of Einstein's cosmological considerations, but to discuss the central role they played in shaping the paradigm of relativistic cosmology. This, we'll show, was a…

History and Philosophy of Physics · Physics 2014-02-14 Daryl Janzen

During the voyages that led him to discover the new continent bearing his name, Amerigo Vespucci made interesting astronomical observations of the southern sky. In the past, his data have been interpreted with criteria that do not follow…

History and Philosophy of Physics · Physics 2026-04-15 Davide Neri

It is known that Sir Isaac Newton suggested a date for the Passion of Christ in the posthumously published "Observations upon the Prophecies of Daniel and the Apocalypse of St. John" (1733). What was not known is that the first attempts to…

History and Philosophy of Physics · Physics 2008-10-27 Ari Belenkiy , Eduardo Vila Echague

We attempt to grasp the mathematics behind the planetary theories of the Syrian astronomer Ibn al-Shatir (1304-1375) in his treatise Nihayat al-Sul. Following the Maragha school of astronomers, by composing circular movements with constant…

History and Overview · Mathematics 2016-08-17 Erwan Penchèvre

This project aims to attract school students and teachers from the state education system from Ca\c{c}apava do Sul - RS to Sciences and specially to Astronomy. We made astronomical observations using a Galileoscope choosing the Moon as a…

Instrumentation and Methods for Astrophysics · Physics 2015-01-29 V. A. Oliveira , M. A. Silva

This article focuses on evolvement of the history of mathematics as a science and development of its methodology from the 4th century B.C. to the age of Enlightenment.

History and Overview · Mathematics 2017-07-07 Galina Sinkevich

During the 1920s and 1930s, Italian physicists established strong relationships with scientists from other European countries and the United States. The career of Bruno Rossi, a leading personality in the study of cosmic rays and an Italian…

History and Philosophy of Physics · Physics 2013-06-27 Luisa Bonolis

Galileo determined distances to stars based on the assumption that stars were suns, the apparent sizes of stars as seen through his telescope, and basic geometry. However, the apparent sizes that he measured were the result of diffraction…

History and Philosophy of Physics · Physics 2009-07-27 Christopher M. Graney

Astronomy and related fields are at the forefront of science and technology; answering fundamental questions and driving innovation. Although blue-skies research like astronomy rarely contributes directly with tangible outcomes on a short…

Instrumentation and Methods for Astrophysics · Physics 2013-11-26 Marissa Rosenberg , Pedro Russo , Georgia Bladon , Lars Lindberg Christensen

The history of astrometry, the branch of astronomy dealing with the positions of celestial objects, is a lengthy and complex chronicle, having its origins in the earliest records of astronomical observations more than two thousand years…

History and Philosophy of Physics · Physics 2015-06-11 Michael Perryman

Incomputability as a mathematical notion arose from work of Alan Turing and Alonzo Church in the 1930s. Like Turing himself, it attracted less attention than it deserved beyond the confines of mathematics. Today our experiences in computer…

History and Overview · Mathematics 2013-04-24 S. Barry Cooper

Number theory as a coherent mathematical subject started with the work of Fermat in the decade from 1630 to 1640, but modern number theory, that is, the systematic and mathematically rigorous development of the subject from fundamental…

Number Theory · Mathematics 2016-10-24 Steve Wright

J{\'e}r{\^o}me Lalande, a famous French astronomer in the 18th century, collaborated throughout his career with several female calculators in astronomy: Nicole Reine Lepaute, Marie Louise Dupi{\'e}ry and Marie Jeanne Lefran{\c c}ois. Taking…

History and Philosophy of Physics · Physics 2021-11-16 Isabelle Lémonon-Waxin

Giulio Racah's name is known world wide in physics due to the mathematical methods he developed that are based on tensor operators and continuous groups. These methods revolutionized spectroscopy, and they are currently essential research…

History and Philosophy of Physics · Physics 2007-05-23 Nissan Zeldes

Rossi's career paralleled the evolution of cosmic-ray physics. Starting from the early 1930s his pioneering work on the nature and behavior of cosmic rays led to fundamental contributions in the field of experimental cosmic-ray physics and…

History and Philosophy of Physics · Physics 2011-10-31 Luisa Bonolis

Nicolas-Auguste Tissot (1824--1897) was a French mathematician and cartographer. He introduced a tool which became known among geographers under the name ``Tissot indicatrix'', and which was widely used during the first half of the…

History and Overview · Mathematics 2020-01-13 Athanase Papadopoulos
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