Grant Sanderson

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Pi creature caretaker.

Grant Sanderson 4 months ago

This is great!

THE UNION OF VIETA’S AND WALLIS’ S PRODUCTS FOR PI
www.researchgate.net
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Grant Sanderson 6 months ago

Nice post on wordle optimizations.

The game Wordle has a lot of speculation online about what is the "best" first word. If we are exploring optimal strategies to solve the original game in the least number of guesses, most of it is wrong. For humans, almost all of these words are great! However for optimal strategies, we need to exa
jonathanolson.net
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Grant Sanderson 1 year ago

It was fun illustrating the example from @stevenstrogatz's great article "Loves me, loves me not, do the math" with pi creatures for the recent video. It's such a delightful narrative to wrap around the equations of cyclical dynamics.

The mathematics of love yield an equation, though not necessarily a solution.
opinionator.blogs.nytimes.com
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Grant Sanderson 1 year ago

The three videos of this series out so far offer a lovely introduction to some of the main ideas in topology, and are clearly animated with love and care! I keep seeing so many good up-and-coming math channels, it seems math YouTube is on a path to a golden age.

The first video in my series "You Could Have Invented Homology" Become a patron: https://patreon.com/boarbarktree (From Youtube)
www.youtube.com 11 min
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Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

A work of popular science in the tradition of Stephen Hawking and Carl Sagan, this 20th-anniversary edition of James Gleick’s groundbreaking bestseller Chaos introduces a whole new readership to chaos theory, one of the most significant waves of scientific knowledge in our time. From Edward Lorenz’s
www.amazon.com
5 Recommenders
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical to
www.goodreads.com
3 Recommenders
Grant Sanderson 2 years ago
Recommended Books by 3Blue1Brown
This is what I wish I learned from in my freshman year of college. Honestly, the third of it that is about linear algebra is one of the best linear algebra resources out there. It doesn't pull any punches for the pure math students, but unlike many books with that target audience...

This is what I wish I learned from in my freshman year of college. Honestly, the third of it that is about linear algebra is one of the best linear algebra resources out there.

It doesn't pull any punches for the pure math students, but unlike many books with that target audience it stays grounded in frequent numerical examples and scientific applications. The culmination to the generalized Stokes' theorem, as well as the way to frame Maxwell's equations with differential forms, are particularly satisfying.

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This text covers most of the standard topics in multivariate calculus and a substantial part of a standard first course in linear algebra. Appendix material on harder proofs and programs allows the book to be used as a text for a course in analysis. The organization and selection of material present
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1 Recommender
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

This text looks at thermodynamics and statistical mechanics. Part I introduces concepts of thermodynamics and statistical mechanics from a unified view. Parts II and III explore further applications of classical thermodynamics and statistical mechanics. Throughout, the emphasis is on real-world appl
www.goodreads.com
1 Recommender
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced p
www.goodreads.com
1 Recommender
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

www.goodreads.com
1 Recommender
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

From the Reviews : ..". Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new
www.goodreads.com
1 Recommender
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equa
www.goodreads.com
1 Recommender
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. (From Goodreads)
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1 Recommender
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

Offering accessible and nuanced coverage, Richard W. Hamming discusses theories of probability with unique clarity and depth. Topics covered include the basic philosophical assumptions, the nature of stochastic methods, and Shannon entropy. One of the best introductions to the topic, The Art of Prob
www.goodreads.com
1 Recommender
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

Information theory and inference, often taught separately, are here united in one entertaining textbook. These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational
www.goodreads.com
2 Recommenders
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

Michael Steele describes the fundamental topics in mathematical inequalities and their uses. Using the Cauchy-Schwarz inequality as a guide, Steele presents a fascinating collection of problems related to inequalities and coaches readers through solutions, in a style reminiscent of George Polya, by
www.goodreads.com
1 Recommender
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century
www.goodreads.com
1 Recommender
Grant Sanderson 2 years ago

Recommended Books by 3Blue1Brown

Provides a general solution to the question of which primes p can be expressed in the form x2 + ny2. Covered first are the special cases considered by Fermat, which involve only quadratic reciprocity and the genus theory of quadratic forms. Further, the book shows how the results of Euler and Gauss
www.goodreads.com
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