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Our interdisciplinary team Mathematics for Applications in Cultural Heritage (MACH) aims to use mathematical research for the benefit of the arts and humanities. Our ultimate goal is to create user-friendly software toolkits for artists,…

We commonly think of mathematics as bringing precision to application domains, but its relationship with computer science is more complex. This experience report on the use of Racket and Haskell to teach a required first university CS…

Programming Languages · Computer Science 2013-01-23 Prabhakar Ragde

"Is math useful?" might sound as a trick question. And it is. Of course math is useful, we live in a data-filled world and every aspect of life is totally entwined with math applications, both trivial and subtle applications, of both basic…

History and Overview · Mathematics 2021-05-11 Alberto Saracco

We will outline our ideas for teaching in the core mathematics disciplines. They are based on our own experience in teaching at a number of universities in the USA, as well as in Europe. While some of the core ideas stay and have stayed…

History and Overview · Mathematics 2007-05-23 Palle E. T. Jorgensen

How students use mathematics in their physics classes has been studied extensively in the physics education literature. In addition to specific mathematical methods in specific physics contexts, possible effects of more general "cultural"…

Physics Education · Physics 2024-09-05 Jeffrey M. Rabin , Andrew Meyertholen , Brian Shotwell

Over the past thirty years or so the authors have been teaching various programming for mathematics courses at our respective Universities, as well as incorporating computer algebra and numerical computation into traditional mathematics…

History and Overview · Mathematics 2022-03-16 Jack Betteridge , Eunice Y. S. Chan , Robert M. Corless , James H. Davenport , James Grant

We consider the mathematical theory of geographical maps, with an emphasis on the eighteenth century works of Euler, Lagrange and Delisle. This period is characterized by the frequent use of maps that are no more obtained by the…

History and Overview · Mathematics 2021-11-23 Athanase Papadopoulos

In this paper, we present a series of mathematical problems which throw interesting lights on flamenco music. More specifically, these are problems in discrete and computational mathematics suggested by an analytical (not compositional)…

Computational Geometry · Computer Science 2022-09-28 José-Miguel Díaz-Báñez

Robust preparation of future secondary mathematics teachers requires attention to the acquisition of mathematical knowledge for teaching. Many future teachers learn mathematics content primarily through mathematics major courses that are…

History and Overview · Mathematics 2021-02-10 Elizabeth G. Arnold , Elizabeth A. Burroughs , Elizabeth W. Fulton , James A. Mendoza Álvarez

Mathematics can serve many functions in physics. It can provide a computational system, reflect a physical idea, conveniently encode a rule, and so forth. A physics student thus has many different options for using mathematics in his…

Physics Education · Physics 2009-11-13 Thomas J. Bing , Edward F. Redish

The aim of this paper is to study the historical evolution of mathematical thinking and its spatial spreading. To do so, we have collected and integrated data from different online academic datasets. In its final stage, the database…

History and Overview · Mathematics 2016-03-22 Floriana Gargiulo , Auguste Caen , Renaud Lambiotte , Timoteo Carletti

The information technology explosion has dramatically increased the application of new mathematical ideas and has led to an increasing use of mathematics across a wide range of fields that have been traditionally labeled "pure" or…

History and Overview · Mathematics 2018-09-18 Katherine Gravel , Hayden Jananthan , Jeremy Kepner

In this primer, we will describe a number of projects that can be completed with a 3D printer, particularly by mathematics professors and their students. For many of the projects, we will utilize Mathematica to design objects that…

History and Overview · Mathematics 2013-10-08 Edward Aboufadel , Sylvanna V. Krawczyk , Melissa Sherman-Bennett

This paper offers a glimpse of the major contributions made by Arabs to mathematics in middle ages history period. Its purpose is to stimulate interest in an object based on mutual respect and understanding. We give a short list of the most…

History and Overview · Mathematics 2016-01-18 Adnan Sharaf Ali , Stancho Pavlov , Krasimir Yordzhev

Mathematical concepts and tools have shaped the field of visualization in fundamental ways and played a key role in the development of a large variety of visualization techniques. In this chapter, we sample the visualization literature to…

Human-Computer Interaction · Computer Science 2019-09-12 Ingrid Hotz , Roxana Bujack , Christoph Garth , Bei Wang

Physics makes powerful use of mathematics, yet the way this use is made is often poorly understood. Professionals closely integrate their mathematical symbology with physical meaning, resulting in a powerful and productive structure. But…

Physics Education · Physics 2010-02-03 Edward F. Redish , Ayush Gupta

3D printing technology can help to visualize proofs in mathematics. In this document we aim to illustrate how 3D printing can help to visualize concepts and mathematical proofs. As already known to educators in ancient Greece, models allow…

History and Overview · Mathematics 2013-06-25 Oliver Knill , Elizabeth Slavkovsky

Usually the first course in mathematics is calculus. Its a core course in the curriculum of the Business, Engineering and the Sciences. However many students face difficulties to learn calculus. These difficulties are often caused by the…

Computers and Society · Computer Science 2012-12-27 Seifedine Kadry , Maha ElShalkamy

When studying the history of mathematical symbols, one finds that the development of mathematical symbols in China is a significant piece of Chinese history; however, between the beginning of mathematics and modern day mathematics in China,…

History and Overview · Mathematics 2015-11-26 Fang Li , Yong Zhang

Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal systems systems with precise grammars and rules of use. Building on such foundations, computational proof…

History and Overview · Mathematics 2023-11-07 Jeremy Avigad