Philosophy of mathematics | Foundations of mathematics
The relationship between mathematics and physics has been a subject of study of philosophers, mathematicians and physicists since Antiquity, and more recently also by historians and educators. Generally considered a relationship of great intimacy, mathematics has been described as "an essential tool for physics" and physics has been described as "a rich source of inspiration and insight in mathematics". In his work Physics, one of the topics treated by Aristotle is about how the study carried out by mathematicians differs from that carried out by physicists. Considerations about mathematics being the language of nature can be found in the ideas of the Pythagoreans: the convictions that "Numbers rule the world" and "All is number", and two millennia later were also expressed by Galileo Galilei: "The book of nature is written in the language of mathematics". Before giving a mathematical proof for the formula for the volume of a sphere, Archimedes used physical reasoning to discover the solution (imagining the balancing of bodies on a scale). From the seventeenth century, many of the most important advances in mathematics appeared motivated by the study of physics, and this continued in the following centuries (although in the nineteenth century mathematics started to become increasingly independent from physics). The creation and development of calculus were strongly linked to the needs of physics: There was a need for a new mathematical language to deal with the new dynamics that had arisen from the work of scholars such as Galileo Galilei and Isaac Newton. During this period there was little distinction between physics and mathematics; as an example, Newton regarded geometry as a branch of mechanics. As time progressed, the mathematics used in physics has become increasingly sophisticated, as in the case of superstring theory. (Wikipedia).
What's the difference between maths and science? Free ebook http://tinyurl.com/VectorsYT
From playlist Math is Fun!
What is the relationship between physics and philosophy?
Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu
From playlist Science Unplugged: Big Ideas
What is the difference between theoretical and experimental physics?
Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu
From playlist Science Unplugged: Physics
Putting an opinion on YouTube - what could possibly go wrong! This is a bit more bloggy than I usually like to do. I'll be back next time with some proper mathematics. "What is the point of mathematics?"
From playlist My Maths Videos
Physics is the natural science that studies matter, its motion and behavior through space and time, and the related entities of energy and force. Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves. *** Credit *** Cou
From playlist Physics
The Primacy of Experiment - Kyle Cranmer
The Universe Speaks in Numbers Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise
From playlist The Universe Speaks in Numbers
Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu
From playlist Science Unplugged: Mathematics
Quantum Mechanics 1.1: Introduction
In this video I provide some motivation behind the development of quantum mechanics, kicking off a new series on everything you've been wondering about quantum mechanics! Twitter: https://twitter.com/SciencePlease_
From playlist Quantum Mechanics
Linearizing graphs to establish relationships between variables
Linearizing graphs is about determining the relationship between variables, specifically, the independent and dependent variables. In this vide I show you how to turn non linear graphs to linear graphs and thus determine the mathematical equation that describes the variable. If you like t
From playlist skills and foundations
IMPA in a context of international reconfiguration of mathematics – T. Roque – ICM2018
History of Mathematics Invited Lecture 19.3 IMPA’s coming of age in a context of international reconfiguration of mathematics Tatiana Roque Abstract: In the middle of the 20^{th} century, the intimate link between science, industry and the state was stimulated, in its technical-scientifi
From playlist History of Mathematics
The Universe Speaks in Numbers
Oxford Mathematics Public Lectures: Graham Farmelo - The Universe Speaks in Numbers An old-fashioned tale of romance and estrangement, Graham Farmelo's Oxford Mathematics Public Lecture charts the 350-year relationship between Mathematics and Physics and its prospects for the future. Migh
From playlist Oxford Mathematics Public Lectures
5. How Did Human Beings Acquire the Ability to do Math?
(October 29, 2012) Keith Devlin concludes the course by discussing the development of mathematical cognition in humans as well as the millennium problems. Originally presented in the Stanford Continuing Studies Program. Stanford University: http://www.stanford.edu/ Stanford Continuing S
From playlist Lecture Collection | Mathematics: Making the Invisible Visible
Lecture 1 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood provides an overview of the course, then begins lecturing on Fourier series. The Fourier transform is a tool for solving physical problems. In
From playlist Fourier
Sir Michael Atiyah Interview [Stony Brook 2011]
Name: Michael Atiyah Event: SCGP Lecture Series Title: Sir Michael Atiyah Interview Date: 2011-11-07 @12:00 PM Location: SCGP Abstract: Sir Michael Atiyah, celebrated mathematician and Retired and Honorary Professor of Mathematics at the University of Edinburgh, visited the Simons Center
From playlist Mathematics
Special Relativity E3 Relationship between Mass and Energy
The mass energy equivalence.
From playlist Physics - Special Relativity
Lecture 7 | Modern Physics: Quantum Mechanics (Stanford)
Lecture 7 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded February 25, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of mod
From playlist Course | Modern Physics: Quantum Mechanics
Calculus -- The foundation of modern science
Easy to understand explanation of integrals and derivatives using 3D animations.
From playlist Physics
This is a video interview with Oscar Fernandez. Oscar is a mathematics professor who has written several books including The Calculus of Happiness, Everyday Calculus, and Calculus Simplified. Here are his books:) The Calculus of Happiness: https://amzn.to/3SRpS0i Everyday Calculus: https:
From playlist Interviews