Mathematica Projects

This github repository holds references for, and scripts resulting from, various Mathematica projects

• Integrated Development Environments

  • Cloud and Desktop Mathematica

  • Raspberry Pi Mathematica

  • Cloud Wolfram Alpha

• How-to Mathematica Project Books

  • Getting Started with Wolfram Language and Mathematica for Raspberry Pi

  • Hands on Start to Wolfram Mathematica

  • Mathematica a Practical Approach

  • Schaum's Outlines Mathematica

  • Computational Financial Mathematics Using Mathematica: Optimal Trading in Stocks and Options

  • Mathematical Methods for Physics and Engineering - Riley, Hobson, Bence

Fun things to think about

• Books & Journals

  • All The Math You Missed (But Need To Know For Graduate Schoo) - Dr. Thomas A. Garrity

  • Love and Math: The Heart of Hidden Reality - Dr. Edward Frenkel

  • arXiv - Math

  • London Mathematical Society Journals

  • Notices of the American Mathematical Society

  • Society for Industrial and Applied Mathematics - Journal on Applied Math

• Communities & Projects

  • Art of Problem Solving

  • Math Overflow

  • Project Euler

  • The Millennium Prize Problems - Clay Mathematics Institute

  • The On-Line Encyclopedia of Integer Sequences - OEIS

  • William Lowell Putnam Mathematical Competition

  • Wolfram U

• Differential Equations

  • Basic Maths for Physics - Physics by Alexander FufaeV - YouTube

  • Differential equations - 3Blue1Brown - YouTube

  • Partial Differential Equations - MathTheBeautiful - YouTube

  • Partial Differential Equations Related to Fluid Mechanics - Dr. Eduard Feireisl - YouTube

• Differential Geometry

  • Discrete Differential Geometry - Keenan Crane - YouTube

  • Geometrical Methods of Mathematical Physics - Bernard F. Schutz, Max-Planck-Institut für Gravitationsphysik, Germany

• Notation

  • Glossary of Mathematical Symbols - wiki

  • Greek Alphabet - wiki

  • Notation for differentiation - wiki

    • Leibniz's notation
    • Lagrange's notation
    • D-notation
    • Newton's notation
    • Partial derivatives

• Prime Numbers

  • ‘Sensational’ Proof Delivers New Insights Into Prime Numbers - Jordana Cepelewicz - Quanta

• Shannon Entropy

  • How Shannon Entropy Imposes Fundamental Limits on Communication - Kevin Hartnett - Quanta

  • A New Perspective of Entropy - Dr. Tai-Danae Bradley

  • Entropy as a Topological Operad Derivation - Dr. Tai-Danae Bradley - arXiv

• Taylor's Series

  • Dear Calculus 2 Students, This is why you're learning Taylor Series - Zach Star - YouTube

  • Oxford Calculus: Taylor's Theorem Explained with Examples and Derivation - Tom Rocks Maths - YouTube

  • Taylor series | Chapter 11, Essence of calculus - 3Blue1Brown - YouTube

  • Taylor Swift - Polynomial Approximations (Taylor's Version) - Mr. Schuler - YouTube

• Tensors

  • Tensors for Beginners by EigenChris - YouTube Series

• Topology

  • How Mathematicians Use Homology to Make Sense of Topology - Dr. Kelsey Houston-Edwards - Quanta

  • The derivative isn't what you think it is (Topology Cohomolgy, Homology) - Aleph 0 - YouTube

  • Elementary Topology: Problem Textbook - Dr. O. Ya. Viro et al

  • Manifolds - The Bright Side of Mathematics - YouTube - 42 part series

  • The Insane Math Of Knot Theory - Veratasium - YouTube

  • Knot Theory - Math at Andrews University - YouTube - 12 part series

  • The Man Who Invented Fifteen Hundred Necktie Knots - Matthew Hutson

  • Why Mathematicians Study Knots - Dr. David S. Richeson - Quanta

  • How Complex Is a Knot? New Proof Reveals Ranking System That Works - Dr. Leila Sloman - Quanta

  • Getting a Handle on the Conway Knot - Dr. Jennifer Hom

  • A Gentle Introduction to Knots, Links, and Braids - Dr. Ruben Aldrovandi and Dr. Roldao Da Rocha Jr

License

MIT