"Foundations of Applied Mathematics" is a free collection of four textbooks created for the Applied and Computational Mathematics program at Brigham Young University. The four volumes are:
1. Mathematical Analysis
2. Algorithms, Approximation, and Optimization
3. Uncertainty and Data
4. Dynamics and Control
The collection is suitable for advanced undergraduate and early graduate students. It also has Python lab manuals and practical exercises, so the mathematical theory is connected with numerical computation, algorithms, data analysis, and scientific applications.
What I particularly like is that these are not only theoretical textbooks. The accompanying Python materials are a useful way to see how the concepts are applied to real computational problems.
https://t.co/s8IfEmnk5B
Applications now open: Course on heterodox macroeconomics!
Open to teachers & lecturers of economics.
🎓 Instructor: Prabhat Patnaik
📚 18 lectures
🗓️ 11 Aug–16 Oct
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I was looking for a mathematical study of language and found this very interesting and publicly available introduction to 'The Mathematics of Language' by Marcus Kracht, on UCLA's website!
This is not a primer, but a full text book, for which the technical level surprised me! This also not an introduction to linguistics, and the author presumes a strong foundation in basic mathematics.
The book covers a lot of topics from abstract algebra, universal algebra, meta-mathematics, semigroups, trees, recursion theory and much, much more! Omitted are topics found in statistics and probability theory.
Mathematicians, computer scientists, linguists and student of computational linguistics will find value in this great text!
PS: No link provided, since it is made public by the university, but a quick search will lead you to this gem!
happy birthday to Thomas Sowell, whose flimsy free-market propaganda has successfully bamboozled generations of credulous readers
https://t.co/xwwxL514HL
Problems and Exercises in the #Calculus of
#Variations by M. L. Krasnov, G. I. Makarenko, A. I. Kiselev
aim was to supply the reader with a certain minimum of #problems
covering the basics of the classical calculus of variations
#soviet #books#mir
https://t.co/w0O03J64t8
Fundamentals Of Linear #Algebra And Analytical
#Geometry by Ya. S. Bugrov, S. M. Nikolsky
deals with the theory of determinants, the elements of theory of matrices, theory of systems of linear equations, & vector algebra
#soviet#mathematics#books#mir
https://t.co/3SWz6UrNP8
"Algebra: Chapter 0" by Paolo Aluffi is one of the best modern textbooks on abstract algebra.
It has more than 700 pages on groups, rings, fields, modules, category theory, and homological algebra, with a clear and rigorous presentation. The book has hundreds of exercises distributed throughout the text, making it an excellent resource for both learning and self-study.
There are several PDF copies available online, but I'm not sure they comply with copyright, so I'll link to the official AMS page instead.
https://t.co/x7jRwDC2XF