Math for robotics! 🧮
University of Michigan's graduate-level ROB 501 teaches applied mathematics for robotics engineers.
All materials are free on GitHub: 26 lecture videos, textbook, notes, homework, exams.
Taught by Jessy Grizzle (Director of @UMRobotics).
Topics covered: cector spaces, matrix factorizations, least squares, Kalman filters, norms, convergence, Newton-Raphson, convexity, and linear programming.
This is literally the mathematical foundation for perception (Kalman filters), control (convexity, optimization), and estimation. Every roboticist needs this.
Format: 26 lectures with full videos on YouTube, textbook, lecture notes, recitations with answers, 10 homework assignments, 2 exams.
Get it here for free: https://t.co/RC8LKaCTwE
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While reviewing the entry on the concavity and convexity of functions and the role played by the second derivative, I stumbled upon "Convex Optimization", a free and, I have to say, monumental book (more than 700 pages) by Stephen Boyd (Stanford) and Lieven Vandenberghe (UCLA).
The book develops the mathematical foundations of convex optimization, covering topics such as convex sets and functions, duality theory, linear and quadratic programming, geometric programming, semidefinite programming, interior-point methods, and a broad range of applications in approximation and fitting, statistical estimation, geometric problems, and signal processing.
This book is another resource worth adding to your bookmarks and consulting whenever needed, as it offers a broad, comprehensive, and remarkably rigorous treatment of the subject.
https://t.co/la29yRW2Nn
FREE Math Book. 470 pages.
"Complex Analysis" by Howell & Mathews. Supports a one-semester undergraduate course. Suitable for math, engineering, and physics students.
1 Complex Numbers
2 Complex Functions
3 Analytic and Harmonic Functions
4 Sequences, Series, and Fractals
5 Elementary Functions
6 Complex Integration
7 Taylor and Laurent Series
8 Residue Theory
9 Conformal Mapping
10 Applications of Harmonic Functions
11 Fourier Series and the Laplace Transform
Link: https://t.co/xGdcl0JNNQ
@petitstardust CERN bisa spend billion of dollar ke LHC ya karena industrinya jalan, ada demand buat fasilitas segede itu. US spending gila2 an ke AI infrastructure jg karena mereka industrinya oke, saingannya cm china, klo china stop USA bisa monopoli AI
@petitstardust Hooh, ini sebenernya beban jg buat para akademisi (klo sadar sih). Ketika industri jelek, maka demand RnD nya pun dikit dan kondisi riset di akademisi pun jadi jelek dan minim dana. USA atau EU bisa gede2an funding riset bahkan sampe basic science ya krn mereka industrinya jalan
FREE Math Book.
"Elementary Real Analysis" by Thomson et al. "We have written this book in a leisurely style. This allows us to provide motivational discussions and historical perspective in a number of places."
Properties of the Real Numbers
Sequences
Infinite Sums
Sets of Real Numbers
Continuous Functions
More on Continuous Functions
Differentiation
The Integral
Sequences and Series of Functions
Power Series
The Euclidean Spaces Rn
Differentiation on Rn
Metric Spaces
Link: https://t.co/kWgFj2O1UV
"Classical Mechanics" by Joel A. Shapiro is a free book that develops the foundations of mechanics from Newtonian particle motion to the more advanced formulations. It covers many topics, including particle kinematics, systems of particles, phase space, conservation laws, central-force motion, rigid body dynamics, small oscillations, perturbation theory, and field theory.
Although it is written as a physics text, it will appeal to many readers who are in mathematics. Much of the book focuses not only on physical phenomena but also on the mathematical framework used to describe them.
I would suggest bookmarking it as a useful reference to browse whenever needed.
https://t.co/15kUznE7fH
The alpha version of my new book "Optimal Transport
for Machine Learners" is out, with in particular an online version with interactive figures
https://t.co/xEdZpMXgjx
"Advanced Calculus" (Department of Mathematics, Harvard University) is one of the most remarkable advanced mathematics texts I have come across.
The book develops vector spaces, differential calculus, differential equations, integration, differentiable manifolds, differential forms, potential theory, and classical mechanics within a unified mathematical framework.
What I particularly appreciate is the combination of mathematical rigour and geometric intuition. It serves as an excellent introduction to modern analysis and differential geometry.
Definitely worth saving to your bookmarks if you are interested in understanding the mathematical structures underlying advanced calculus.
https://t.co/ZbShWnOpWN
Video lectures, ETH Zurich Robot Learning From Fundamentals to Foundation Models spring 2026, by Oier Mees
https://t.co/BATPKnYKCL
https://t.co/eESgPvvivW
https://t.co/cuVXkrBFbK
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@dhp_permana Makanya opportunity buat jadi researcher di SK tuh gede bgt, ecosystem risetnya udh jadi tulang punggung negaranya. Tp problemnya working culture di korea denger2 kurang enak
@dhp_permana Jadi meres duit mahasiswa mulu klo tanpa RnD based industry, sedangkan yg mau study di Aus jg makin dikit gara2 alternative study makin banyak. Korea beda bgt, mereka malah cari mahasiswa buat dibiayain krn butuh periset. Tanpa RnD ekonomi korea langsung collapsed krn gaada SDA
FULL GUIDE: HOW TO SCALE YOUR MODEL: https://t.co/OLYJg1RL2W
PART 12: HOW TO THINK ABOUT GPUS: https://t.co/sTRQGbAhAm
I have one more thing before you go.
If you want to become a generative AI data scientist in 2026 ($200,000 career), then I'd like to help:
"Introduction to Modern Algebra" is an excellent university-level text on modern algebra. What I like about it is that it starts from logic, sets, and mathematical proof before gradually introducing the abstract structures that form the foundation of the subject. It manages to be rigorous while remaining approachable.
I think it is a useful free resource for anyone interested in understanding how mathematicians move from concrete computations to abstract reasoning.
https://t.co/uubisibdS2
Dive Into Systems - free online book diving into systems engineering. The chapter on code optimization talks about various compiler flags and the respective work done.
https://t.co/0nuYiNiC1O