Math for Intelligence

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• Statistics for Intelligence
• Finding Paul Revere
• Causation vs. Correlation
• Dot Product
• Animated Math | Grant Sanderson @ 3blue1brown.com
• Courses & Certifications
  • Free Mathematics Courses for Data Science & Machine Learning | Matthew Mayo - KDnuggets
  • Google's Crash Course
  • Bloomberg Lectures
  • Brilliant.org
• Introduction to Matrices and Matrix Arithmetic for Machine Learning | Jason Brownlee
• Essential Math for Data Science:  ‘Why’ and ‘How’ | Tirthajyoti Sarkar - KDnuggets
• Gentle Dive into Math Behind Convolutional Neural Networks | Piotr Skalski - Towards Data Science
• Varient: Limits
• Neural Networks and Deep Learning - online book | Michael A. Nielsen
• Convolution vs. Cross-Correlation (Autocorrelation)
• Quantum algorithms

• Fundamentals:
  • Linear Algebra | MIT
  • Linear Algebra | Khan Academy
  • Differential Calculus | Khan Academy
  • Multivariable Calculus | Khan Academy

Getting Started

Love and Math an interview with Edward Frenkel UC Professor of mathematics Edward Frenkel describes the relationship of Love and Mathematics, calls for a more modern way of teaching math in schools, and talks of the principles and people that have advanced our understanding of Math as a window onto reality. Edward Frenkel is a professor of mathematics at the University of California, Berkeley, which he joined in 1997 after being on the faculty at Harvard University. He is a member of the American Academy of Arts and Sciences, a Fellow of the American Mathematical Society, and the winner of the Hermann Weyl Prize in mathematical physics. Frenkel has authored three books and over eighty scholarly articles in academic journals, and he has lectured on his work around the world. His YouTube videos have garnered over 4 million views combined. Frenkel’s latest book Love and Math was a New York Times bestseller and has been named one of the Best Books of the year by both Amazon and iBooks. It is being translated into 16 languages. Frenkel has also co-produced, co-directed and played the lead in the film Rites of Love and Math (2010).

Mathematics is the sense you never knew you had | Eddie Woo | TEDxSydney In this illuminating talk, high school mathematics teacher and YouTube star Eddie Woo shares his passion for mathematics, declaring that "mathematics is a sense, just like sight and touch" and one we can all embrace. Using surprising examples of geometry, he encourages everyone to seek out the patterns around us, for "a whole new way to see the world". A public high school teacher for more than 10 years, Eddie Woo gained international attention when he posted videos of his classroom lessons online, to assist an ill student. His YouTube channel, WooTube, has more than 200,000 subscribers and over 13 million views. Eddie believe that mathematics can be embraced and even enjoyed by absolutely everybody. He was named Australia's Local Hero and was a Top 10 Finalist in the Global Teacher Prize for his love of teaching mathematics. This talk was given at a TEDx event using the TED conference format but independently organized by a local community. Learn more at https://www.ted.com/tedx

How you can be good at math, and other surprising facts about learning | Jo Boaler | TEDxStanford You have probably heard people say they are just bad at math, or perhaps you yourself feel like you are not “a math person.” Not so, says Stanford mathematics education professor Jo Boaler, who shares the brain research showing that with the right teaching and messages, we can all be good at math. Not only that, our brains operate differently when we believe in ourselves. Boaler gives hope to the the mathematically fearful or challenged, shows a pathway to success, and brings into question the very basics of how our teachers approach what should be a rewarding experience for all children and adults. Jo Boaler is a professor of mathematics education at Stanford and the co-founder of YouCubed, which provides resources and ideas to inspire and excite students about mathematics. She is also the author of the first massive open online course on mathematics teaching and learning. Her book Experiencing School Mathematics won the Outstanding Book of the Year award for education in Britain. A recipient of a National Science Foundation "early career award"' she was recently named by BBC as one of the eight educators changing the face of education. This talk was given at a TEDx event using the TED conference format but independently organized by a local community. Learn more at http://ted.com/tedx

Here's A Big Secret To Being Good At Math Math is a major problem for many people. Other folks seem to be almost supernaturally gifted when it comes to numbers. If you aren't naturally blessed in this department, does that mean you're going to be one-upped by math wizards for your whole entire life? Well, don't worry, because you can actually improve your math abilities in several ways. Many people believe math is a skill you can learn through hard work and practice. At the very least, there are reportedly lots of little things that anyone can do in order to improve their math abilities...and it starts with picking up some basic foundational skills.

Mathematics Ontology

Mathematics for Machine Learning | M. Deisenroth, A Faisal, and C. Ong .. Companion webpage ...

Scalar, Vector, Matrix & Tensor

• Scalars, Vectors, Matrices and Tensors with Tensorflow 2.0 | Mukesh Mithrakumar - Dev

Scalars

a single number. For example weight, which is denoted by just one number.

Vectors

are an array of numbers. The numbers are arranged in order and we can identify each individual number by its index in that ordering. We can think of vectors as identifying points in space, with each element giving the coordinate along a different axis. In simple terms, a vector is an arrow representing a quantity that has both magnitude and direction wherein the length of the arrow represents the magnitude and the orientation tells you the direction. For example wind, which has a direction and magnitude.

Matrices

• Eigenvalues and eigenvectors | Wikipedia
• Markov Matrix, also known as a stochastic matrix | DeepAI
• Kernels | Wikipedia
• Adjacency matrix | Wikipedia

A matrix is a 2D-array of numbers, so each element is identified by two indices instead of just one. If a real valued matrix A has a height of m and a width of n, then we say that A in Rm x n. We identify the elements of the matrix as A_(m,n) where m represents the row and n represents the column.

Tensors

In mathematics, a tensor is an algebraic object that describes a (multilinear) relationship between sets of algebraic objects related to a vector space. Objects that tensors may map between include vectors and scalars, and, recursively, even other tensors. Tensors can take several different forms – for example: scalars and vectors (which are the simplest tensors), dual vectors, multi-linear maps between vector spaces, and even some operations such as the dot product. Tensors are defined independent of any basis, although they are often referred to by their components in a basis related to a particular coordinate system. Wikipedia

3blue1brown

• Animated Math | Grant Sanderson @ 3blue1brown.com
  • Essence of linear algebra
  • Essence of calculus

Gilbert Strang (MIT) - Linear Algebra

• MIT Open Courseware - Linear Algebra
• Gilbert Strang's Books
• YouTube Playlist

Fourier Transform (FT), Fourier Series, and Fourier Analysis

• Quantum Fourier transform (QFT)
• Engineers solve 50-year-old puzzle in signal processing - Vladimir Sukhoy and Alexander Stoytchev | Mike Krapfl - TechXplore

Joseph Fourier showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. Joseph was a French mathematician and physicist born in Auxerre and best known for initiating the investigation of Fourier series, which eventually developed into Fourier analysis and harmonic analysis, and their applications to problems of heat transfer and vibrations. The Fourier transform and Fourier's law of conduction are also named in his honor. Fourier is also generally credited with the discovery of the greenhouse effect.

• Fourier Transform (FT) decomposes a function of time (a signal) into its constituent frequencies. This is similar to the way a musical chord can be expressed in terms of the volumes and frequencies of its constituent notes. Fourier Transform | Wikipedia

• Fourier Series is a periodic function composed of harmonically related sinusoids, combined by a weighted summation. The discrete-time Fourier transform is an example of Fourier series. For functions on unbounded intervals, the analysis and synthesis analogies are Fourier Transform and inverse transform. Fourier Series | Wikipedia

• Fourier Analysis the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier Analysis | Wikipedia

Math Mistakes | Matt Parker

The Greatest Maths Mistakes | Matt Parker | Talks at Google When math goes wrong, things can get expensive. Or absolutely hilarious. For this talk we invited YouTube personality (Numberphile, standupmaths), math communicator, comedian, and one third of the Festival of the Spoken Nerd, Matt Parker, to share his favorite math mistakes from his new UK #1 bestseller, "Humble Pi - A Comedy of Maths Errors". Matt exposes errors on the Two Pound Coin, very specific rules for trains operating in Switzerland, and how simple unit conversion slip ups can cost billions of dollars. He also discusses the infamous 256th level of Pac-Man and answers audience questions about more hilarious mathematical failures. Get the book here: http://goo.gl/G4kqw6

What Happens When Maths Goes Wrong? - with Matt Parker Most of the time, the maths in our everyday lives works quietly behind the scenes, until someone forgets to carry a '1' and a bridge collapses or a plane drops out of the sky. Subscribe for regular science videos: http://bit.ly/RiSubscRibe Matt's book "Humble Pi" available now: https://geni.us/9nPhpn3 Matt Parker is a stand-up comedian and mathematician. He appears regularly on TV and online: as well as being a presenter on the Discovery Channel. His YouTube videos have been viewed over 37 million times. Previously a high-school mathematics teacher, Matt visits schools to talk to students about maths as part of Think Maths and he is involved in the Maths Inspiration shows. In his remaining free time, Matt wrote the books Things To Make and Do in the Fourth Dimension and Humble Pi: A Comedy of Maths Errors. He is also the Public Engagement in Mathematics Fellow at Queen Mary University of London. This talk was filmed in the Ri on 1 March 2019.