Some of these books have been responsible for cultivating generations of mathematicians. For teachings at AMMOC- https://t.co/0yFOXtpFkQ
Sossinsky’s Geometries is one of its kind.
No parallel of Simon’s books.
He is one the strongest living American mathematical physicist.
From the eighth century to today, the layout of Old English poetry on the page is the result of engaged scribal and editorial choices, and one of a set of tools used to meets readers’ needs and to express identities.
The book is out!
@ArcHumanities
https://t.co/jH006KPteO
Commutative algebra, is one of the most important subject in all of mathematics, it connects to many of the most important subject in algebra, such as Galois theory, algebraic geometry, arithmetic geometry ect.
Thankfully, James Milne's got a great primer, link in comments.
I’m thinking about organizing a study group to go
@rasbt's latest book, Build a Large Language Model from Scratch.
The idea is to read a chapter beforehand and then meet each week on Zoom to discuss, compare notes, and learn from each other.
I think we can cover it in 6 weeks!
The translation of Prasolov's ''Intuitive Topology'', a very short text (around 100 pages) filled with diagrams, aimed at advanced high school students, is a superb way to introduce yourself with the abstract world of topology. A great resource for a self learner.
This book by @s_scardapane is a gem. You can find one of the best explanation of the transformer models and graph models. So let’s go down the rabbit hole!
Usually books on geometry have only a very few if no figures....
...But personally, I like figures to understand quickly and grasp concepts!
IMHO, this great book is a masterpiece at conveying notions and intuitions of geometry with many figures
(link in comment)
A really nice 628 page textbook for Mathematics from Carnegie Mellon University.
I like the Author's description
"The goal of this book is to help the reader make the transition from being a consumer of mathematics to a producer of it. This is what is meant by ‘pure’ mathematics. While a consumer of mathematics might learn the chain rule and use it to compute a derivative, a producer of mathematics might derive the chain rule from the rigorous definition of a derivative, and then prove more abstract versions of the chain rule in more general contexts (such as multivariate analysis).
Consumers of mathematics are expected to say how they used their tools to find their answers. Producers of mathematics, on the other hand, have to do much more: they must be able to keep track of definitions and hypotheses, piece together facts in new and interesting ways, and make their own definitions of mathematical concepts."
"an extremely well-written textbook... will serve as a standard reference for the generations to come"
High praise for the recent textbook
A Course in the Calculus of Variations
by Filippo Santambrogio (Universitext, 2023).
Thanks @zbMATH!
https://t.co/2EXM8TbZOx
«Linear Algebra and Its Applications» by David & Steven Lay, and Judi McDonald is truly a masterpiece.
A textbook teaching Linear Algebra geometrically, application first, with computer exercises and data sets, interactive figures, and projects.
🤩🤩🤩
Often neglected compared to the Reals and Complex , the quaternions and octonion get an amazing introduction by the late and brilliant John Conway.
The authors build the system from the ground and you get a full exploration of their connection to geometry.