So, you think you're bad at math!
A short video by Courtney Gibbons, a math professor at Hamilton College. Another video and article titled "Here's A Big Secret To Being Good At Math" by Grunge. One-line summary: "Being good at math is being good at being stuck."
Websites and useful tools for modern Mathematicians!
MacTutor is a free online resource containing biographies of more than 3000 mathematicians and over 2000 pages of essays and supporting materials. MacTutor is created and maintained by Edmund Robertson, and John O'Connor, of the School of Mathematics and Statistics at the University of St Andrews, and is hosted by the University.
Edited by Allison K. Henrich, Emille D. Lawrence, Matthew A. Pons, and David G. Taylor.
“If you are a mathematics student reading this book, my hope for you is that you find yourself somewhere in these pages and you are inspired to persist. If you are a mathematics teacher, I hope you find in these pages the inspiration to relieve the pressure of demoralizing struggle from a student.” - Stephen Kennedy, Carleton College
Meet a Mathematician's mission is to share the stories of mathematicians from various backgrounds, particularly those from historically excluded groups, with the aim of introducing students to role models and fostering a sense of community. Meet a Mathematician is committed to increasing the voice and visibility of academic mathematicians from underrepresented groups while advocating for a more inclusive math community that reflects diversity in the world.
Math Matters, Apply It! is an applied mathematics awareness campaign, created for anyone who wants to know more about the mathematics behind everyday life and the technologies. Currently, there are dozens of PDFs available to download and share under the website.
The Society for Industrial and Applied Mathematics (SIAM) has developed WhyDoMath to showcase exciting mathematical and computational science topics at a popular science/lower collegiate level. This website will present a variety of applications that illustrate the innovative ways that the mathematical sciences are being used in a wide range of disciplines.
For more information about SIAM visit the website: www.siam.org.
This Living Mathematics Library is a principal hub of the LibreTexts project, which is a multi-institutional collaborative venture to develop the next generation of open-access texts to improve postsecondary education at all levels of higher learning. The LibreTexts libraries are Powered by NICE CXone Expert and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot.
Quanta Magazine is one of two websites published by the Simons Foundation, the vehicle for the philanthropic charity of hedge fund founder James Simmons. Quanta focuses on mathematics, physics, computer science, and biology. The other publication is Spectrum News, which covers autism research. Undark Magazine described Quanta Magazine as "highly regarded for its masterful coverage of complex topics in science and math."
Also: Cantor’s Paradise by Medium, Undark, Nautilus, etc.
A monthly podcast dedicated to sharing their guest's favorite mathematical results hosted by Kevin Knudson and Evelyn Lamb. You can also follow their individual blogs (150+).
It is the best free online math calculator that I know of. It can do everything from basic arithmetic to factoring polynomials, computing derivatives, solving multiple integrations, dealing with systems of differential equations, finding matrix decomposition, and more. Odds are that if you have a straightforward computational math problem, there is some way you can get Wolfram to calculate it for you.
MATLAB (an abbreviation of "MATrix LABoratory") is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks. It is a programming platform designed specifically for engineers and scientists to analyze and design systems and products that transform our world.
GeoGebra is dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics, and calculus in one easy-to-use package. GeoGebra has become the leading provider of dynamic mathematics software, supporting science, technology, engineering, and mathematics (STEM) education and innovations in teaching and learning worldwide.
Also: Desmos, Mathematica by Wolfram, SageMath, Python etc.
Overleaf is a free online LaTeX editor. LaTeX is universally used by professional mathematicians for typesetting mathematics. It is especially good for making clean documents or presentations, particularly if they contain technical math content. Provides a good interface and many free templates for your documentation needs in latex. The help and latex guide is exceptional and it is useful whether you are using latex in overleaf or not.
Both are question-and-answer (Q&A) website, which serves as an online community of mathematicians. It allows users to ask questions, submit answers, and rate both, all while getting merit points for their activities.
The scholarly literature of mathematics is expanding at a geometric rate. Faced with this deluge of data, how can students and researchers find and access the best, most reliable research? MathSciNet, an online publication of the American Mathematical Society, combines powerful search functionality with the authority of a team of trained mathematicians, editors and over 19,000 active reviewers. These professionals make MathSciNet the most reliable source in the field.
The Advanced Training in Mathematics Schools (ATM Schools) were launched by the National Board for Higher Mathematics (NBHM) in May 2004. The purpose of these schools is to provide training in core subjects in Mathematics to Ph.D. students, young researchers and teachers. The emphasis in these schools is on learning mathematics by doing it. IIT Bombay and TIFR have jointly established the National Centre for Mathematics (NCM) in 2011.
YouTube channels for mathematics
These channels really offer great graphics, provide visualizations, one can hardly imagine. These are an element of truth - videos about science, education, and anything else I find interesting. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective. They are Insights into Mathematics, The Math Sorcerer, Numberphile, 3Blue1Brown, Mathologer, Stand-up Maths, MindYourDecisions, Veritasium, and Tibees.
Well, from the above-mentioned link, my favorite ones are; A Beautiful Mind (2001), X+Y: A Brilliant Young Mind (2014), The Man Who Knew Infinity (2015), The Imitation Game (2014), The Theory of Everything (2014), Good Will Hunting (1997), Pi (1998), Hidden Figures (2016), Gifted (2017), and a few more.
The MMDb (The Mathematical Movie Database) contains a list of titles and short descriptions of about 800 movies that contain mathematics. Also included are links to the respective entries in the International Movie Database (IMDB) and links to clips from some of the movies. Prof. Oliver Knill, Harvard has also maintained a collection of clips.
Some content in this section is adapted from Allison N. Miller's Student Resources webpage.