The mathematical sciences are a group of areas of study that includes, in addition to mathematics, those academic disciplines that are primarily mathematical in nature but may not be universally considered subfields of mathematics proper. Statistics, for example, is mathematical in its methods but grew out of bureaucratic and scientific observations, which merged with inverse probability and then grew through applications in some areas of physics, biometrics, and the social sciences to become its own separate, though closely allied, field. Theoretical astronomy, theoretical physics, theoretical and applied mechanics, continuum mechanics, mathematical chemistry, actuarial science, computer and computational science, data science, quantitative biology, operations research, control theory, econometrics, geophysics and mathematical geosciences are likewise other fields often considered part of the mathematical sciences. Some institutions offer degrees in mathematical sciences (e.g. the United States Military Academy, Stanford University, and University of Khartoum) or applied mathematical sciences (for example, the University of Rhode Island). (Wikipedia).
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From playlist Science Unplugged: Mathematics
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
Using Algebra and Geometry in the Real World
You hear terms like “algebra” and “geometry” and these theories we memorized in high school start to dance a jig in our heads – a jig many of us weren’t overly interested in! But the past decade has seen an explosion of applications of algebra, geometry, and topology to the real world, lik
From playlist What is math used for?
SketchySVD - Joel Tropp, California Institute of Technology
This workshop - organised under the auspices of the Isaac Newton Institute on “Approximation, sampling and compression in data science” — brings together leading researchers in the general fields of mathematics, statistics, computer science and engineering. About the event The workshop ai
From playlist Mathematics of data: Structured representations for sensing, approximation and learning
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
The Impact of Mathematics on the World Around You
What can the STEM field do for humanity? How does the work professionals in the mathematical sciences are doing impact communities, countries, and the world? Applied math contributes to almost every aspect of our lives. Learn more from leading researchers and mathematicians who are making
From playlist What is math used for?
Mathematical Research Institute
The University of Sydney Mathematical Research Institute combines mathematical research with public outreach, and is transforming mathematics in Australia. Our Mathematical Research Institute is the first of its kind in Australia, drawing leading mathematical scientists from all over the w
From playlist SMRI Interviews
The Scientific Method and the question of "Infinite Sets" | Sociology and Pure Maths| N J Wildberger
Let's get some kind of serious discussion going about the differences in methodology and philosophy between the sciences and mathematics, and how these differences manifest themselves in the attitude towards the logical foundations of mathematics. In particular we look at a bulwark notio
From playlist Sociology and Pure Mathematics
The problem with `functions' | Arithmetic and Geometry Math Foundations 42a
[First of two parts] Here we address a core logical problem with modern mathematics--the usual definition of a `function' does not contain precise enough bounds on the nature of the rules or procedures (or computer programs) allowed. Here we discuss the difficulty in the context of funct
From playlist Math Foundations
Ludic Uses of Technology for Science and Mathematics Education
Faced with the new normal, we need new pedagogical ways of educating from an innovative perspective. In this presentation, Silvia Paulina and Toimil Davila discuss the growing need to create new learning environments for the teaching of science and mathematics through new technologies focu
From playlist Wolfram Technology Conference 2020
Mathematics & Science in History - J. Gray - 4/26/2019
On April 26-27 2019, the Division of Humanities & Social Sciences at Caltech hosted a conference in honor of Jed Z. Buchwald, “Looking Back as We Move Forward: The Past, Present, and Future of the History of Science.” This event was sponsored by the Division of the Humanities & Social Sci
From playlist Looking Back as We Move Forward - A Conference in Honor of Jed Z. Buchwald - 4/26-27/2019
Abel Prize award ceremony 2021
The ceremony honours both the 2020-winners, Hillel Furstenberg and Gregory Margulis, and the 2021-winners, Avi Wigderson and László́ Lovász. 0:30 Haddy N'jie sings Feeling Good 3:18 Welcome by Master of ceremonies, Haddy N'jie 4:46 On the nomination process and the work of the Abel Prize
From playlist Gregory Margulis
History of Science and Technology Q&A (April 6, 2022)
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
The Role of Mathematics in Philosophy | 2012
Prof. Douglas Kindschi of Grand Valley State University speaks on "The Role of Mathematics in Philosophy: Plato to Russell". This talk was part of the GVSU Math Department seminar series and was given in February 2012. https://archive.org/details/The_Role_Of_Mathematics_In_Philosophy_
From playlist Mathematics
MATRIX x IMAGINARY 2022 - Day 2 - 4/4 - Panel: Science of mathematics communication
Thursday, September 1 3:15pm Nathalie Ayi, Sorbonne University Anna Hartkopf, Freie Universität Berlin Erin Henning, Freie Universität Berlin Moderator: Elodie Chabrol https://matrix.imaginary.org ---------------------------------- Institut Henri Poincaré, 11 rue Pierre et Marie Curie,
From playlist MATRIX × IMAGINARY 2022
Strengthening Mathematics in the Developing World – ICM2018
IMU Discussion Panels Panel 4 - Strengthening Mathematics in the Developing World Moderator: Angel Pineda Panelists: Wandera Ogana, Marie-Françoise Roy, Yuri Tschinkel, Paolo Piccione, Jose Maria Balmaceda, Nouzha El Yacoubi, Alejandro Jofré © ICM 2018 – International Congress of Math
From playlist IMU Discussion Panels
ICM 2006 Closing Round Table Are pure and applied mathematics drifting apart? Intervention by John Ball (Slides https://www.mathunion.org/fileadmin/IMU/Videos/ICM2006/tars/table2006_ball.pdf) Intervention by Lennart Carleson (Slides https://www.mathunion.org/fileadmin/IMU/Videos/ICM2006/
From playlist Number Theory
What We've Learned from NKS Chapter 1: The Foundations of a New Kind of Science
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
4 Calculating some interesting limits
Now that we have got the ball rolling, let's do some examples.
From playlist Life Science Math: Limits in calculus
In this presentation, you'll hear from University of Warsaw professors sharing their experience teaching an analysis course using Mathematica. The presenters give examples of problems where Mathematica can be used effectively as an aid in solving mathematical problems, or at least to inspi
From playlist Wolfram Technology Conference 2020