**Here we go with the second update of resources. This time with 50 (!!!) new amazing textbooks, lecture notes and videos. As always, everything 100% legal and free.**

Here are all the updates. Enjoy!

Let's start with a solid update of our Linear Algebra section. We have new books treating this subject on different levels and from different angles:

- Linear Algebra by Anton Bernshteyn.
- An Intuitive Overview of Linear Algebra Fundamentals by Nikola Miljkovic.
- Linear Algebra via Exterior Products by Sergei Winitzki.
- Linear Algebra Review and Reference by Zico Kolter, Chuong Do.
- Introduction to Vector Spaces, Vector Algebras, and Vector Geometries by Richard A. Smith.
- Linear Algebra by Benjamin McKay.
- Linear Algebra As an Introduction to Abstract Mathematics by Isaiah Lankham, Bruno Nachtergaele, Anne Schilling, which will be probably very handy for people just getting into university-level mathematics.
- Interactive Linear Algebra by Dan Margalit, Joseph Rabinoff.
- Linear Algebra Notes by legendary Terrence Tao.

Abstract Algebra also gets quite a big update:

- Lectures on Abstract Algebra by Richard Elman.
- Elementary Abstract Algebra: Examples and Applications by Justin Hill, Chris Thron, Thomas Judson, Dave Witte Morris, Joy Morris, A. J. Hildebrand, Jennifer Lazarus, Holly Webb, Johnny Watts, David Weathers, Semi Harrison, Khoi Tran, Rachel McCoy.
- Algebra for First Year Graduate Students by George F. McNulty.
- Algebra: A Computational Introduction by John Scherk.
- Abstract Algebra by Michael K. Butler.
- A Gentle Introduction to Abstract Algebra by B. A. Sethuraman. I always love when the authors tries to encourage you in the title!
- Abstract Algebra by Paul Garrett.
- Lectures on Applied Algebra I & II by Audrey Terras.

Here we have 5 new textbooks, although we are cheating a little, because 3 of them are from the same source:

- A Friendly Introduction to Mathematical Logic by Christopher Leary, Lars Kristiansen.
- Sets, Logic, Computation, Incompleteness and Computability and Boxes and Diamonds, all by incredible Open Logic Project.
- Logic in Action by Johan van Benthem, Hans van Ditmarsch, Jan van Eijck, Jan Jaspars.

I am happy to say we have doubled our Set Theory section, by adding 3 books:

- Set Theory: An Open Introduction by previously mentioned Open Logic Project.
- Elementary Set Theory by Richard P. Millspaugh.
- Introduction to Modern Set Theory by Judith Roitman.

In Algebraic Geometry we have added 2 textbooks, both heavily leaning towards beginners:

- Algebraic Curves: An Introduction to Algebraic Geometry by William Fulton.
- Algebraic Geometry: A Start Up Course by A. L. Gorodentsev.

I have a big Calculus update coming, but it takes a lot of time to go through all of submissions, so currently we have added only 1, but pretty big textbook:

Calculus I, II, and III by Jerrold E. Marsden, Alan Weinstein.

Here we have 2 new textbooks:

- How We Got from There to Here: A Story of Real Analysis by Eugene Boman, Robert Rogers. Very interesting entry, with a different, original spin on a traditional real analysis textbook.
- Introduction to Real Analysis by Liviu I. Nicolaescu.

We have added first video lectures on Functional Analysis on our website:

- Doctorate program: Functional Analysis by Claudio Landim.

We have quite a bit of new entries in Measure Theory:

- Measure, Integration & Real Analysis by Sheldon Axler, available for free from Springer.
- Analysis, Measure, and Probability: A Visual Introduction by Marcus Pivato.
- Measure and Integration by Jose L. Menaldi.
- Video lectures Masters Program: Measure Theory by Claudio Landim.

We have added a first textbook in this section:

An Introduction to Partial Differential Equations by Per Kristen Jakobsen.

Here we get 1 addition:

Groups and Symmetries by F. Oggier, A. M. Bruckstein.

2 new textbooks:

- Galois Theory Through Exercises by Juliusz Brzezinski.
- Galois Theory - A First Course by Brent Everitt.

Category Theory gets 1 new textbook:

Seven Sketches in Compositionality: An Invitation to Applied Category Theory by Brendan Fong, David I. Spivak. It was recommeneded to me many, many times.

1 new set of lecture notes:

Analytic Number Theory by Thomas F. Bloom.

In Topology we get 2 new textbooks and 1 set of lecture notes:

- Topology Without Tears by Sidney A. Morris.
- Topology And Groupoids by Ronald Brown.
- Topology by Ivan Khatchatourian.

We have added 1 textbook and 1 set of lecture notes in Discrete Math:

- Notes on Discrete Mathematics by James Aspnes.
- Discrete Mathematics by Frédérique Oggier.

1 new textbook:

Combinatorics: The Art of Counting by Bruce Sagan.

And that's all for now.

I hope you will find something for yourself among these great resources!