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Do you ever feel like math just isn’t your thing? 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."
Meet a Mathematician!: 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.
Quanta, also its YouTube channel: Quanta Magazine is one of two websites published by the Simons Foundation, the vehicle for the philanthropic charity of hedge fund founder James Simons. 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."
My Favorite Theorem: 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+).
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.
Movies featuring mathematics: 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. Oliver Knill, Harvard has also maintained a collection of clips.
Indiana University Bloomington
The following list will help you locate upcoming conferences, workshops, and summer schools.
Resources for those new to mathematics or exploring the field for the first time.
Wolfram Alpha: 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.
GeoGebra: 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. It is a rapidly expanding community of millions of users located in just about every country. 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.
Overleaf: 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.
MathOverflow and Math.StackExchange: Both are question-and-answer (Q&A) websites, which serve 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. In its current state, any post including "Math Mode" (text between $'s) will translate into proper mathematical notation. They allow users to donate some of their reputations to help questions receive answers or better answers, as well as to incentivize users to answer.
SageMath: SageMath, or simply Sage, is an open-source mathematics software system built to provide a comprehensive, unified environment for mathematical computation. It is designed for a wide range of applications in mathematics, from basic algebra and calculus to advanced number theory, cryptography, and numerical computation.
Additional Math Tools: Desmos, Mathematica by Wolfram, etc.
For those who are already knee-deep in the field.
MathCurve: Encyclopedia of Remarkable Mathematical Forms: The website is grouped into 5 themes: 2D curves, 3D curves (which is more "in" than plane curve and left curve...), surfaces, fractals and polyhedra.
Below is a collection of programs and online databases that are helpful for knot theory research. Naturally, this compilation is not exhaustive and reflects my personal preferences. Please feel free to suggest any additions.
Online Databases:
General Purpose Programs and Packages:
Knot Homology Calculators
Programs for Other Specific Purposes
Last updated: October, 2024