Math

https://aimath.org/textbooks/

These textbooks have been evaluated and approved by the American Institute of Mathematics. The evaluation process under which they were approved can be found at this link. As described by the site:

The list is organized by courses ranging from pre-calculus to upper division analysis and algebra. Each book has a brief description of its important features and information about how to get it.

A list of course notes and ancillary resources approved for association with the texts can be found at this link.

Introduction to Proofs (Basic Analysis: Introduction to Real Analysis)

This text is in use at Iowa State University (MATH 201, MATH 414). It can be freely accessed, shared, downloaded, and modified.  It is available in a variety of file types and with associated ancillary materials at the link below this paragraph. Information regarding peer review, editions, and additional resources are available at the author’s home site, linked here. Additionally, it is available in the Open Textbook Library, where it has also undergone peer review. Click here to read those reviews.

https://www.jirka.org/ra/html/frontmatter-1.html

Introduction to Proofs

This text is in use at Iowa State University (MATH 201). It can be freely accessed, shared, downloaded, and modified.  It is available in a variety of file types and associated ancillary materials at the link below this paragraph. Additionally, it is available in the Open Textbook Library, where it has also undergone peer review. Click here to read those reviews.

https://open.umn.edu/opentextbooks/textbooks/book-of-proof

OpenStax Precalculus

This text is in use at Southern Oregon University. It can be freely accessed, shared, downloaded, and modified for non-commercial purposes such as university coursework.  It is available in a variety of file types and associated ancillary materials at the link below this paragraph. Additionally, it is available in the Open Textbook Library, where it has also undergone peer review. Click here to read those reviews.

https://openstax.org/details/books/precalculus

OpenStax Calculus I with WebAssign

This text is in use at Western Oregon University. It can be freely accessed, shared under similar licensing, downloaded, and modified for non-commercial purposes such as university coursework.  It is available in a variety of file types and with associated ancillary materials at the link below this paragraph. The professor at Western Oregon University has shared a course plan linked here. You will need to request access, but I imagine that is just to aid in tracking use for RPT documentation.

https://openstax.org/details/books/calculus-volume-1

A First Course in Linear Algebra

This text is in use at Portland State University. It can be accessed, shared, downloaded, and modified.  It is available in a variety of file types and associated ancillary materials at the link below this paragraph. Additionally, it is available in the Open Textbook Library, where it has also undergone peer review. Click here to read those reviews.

https://lyryx.com/first-course-linear-algebra/

Theory of Linear Algebra

This resource is in use at Iowa State University (MATH 317). The linked site describes licensing, etc., as follows:

 

“SageMath is a free open-source mathematics software system licensed under the GPL. It builds on top of many existing open-source packages: NumPySciPymatplotlibSympyMaximaGAPFLINTR and many more. Access their combined power through a common, Python-based language or directly via interfaces or wrappers.
Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.”
This resource is linked below.
http://www.sagemath.org/

Introduction to Mathematical Analysis I – Second Edition by Beatriz Lafferriere, Gerardo Lafferriere, and Nguyen Mau Nam

This text is in use at Portland State University. It can be accessed, shared, downloaded, and modified for noncommercial use such as university instruction.  It is available in a variety of file types and associated ancillary materials (including video lectures and problem solving strategies) at the link below this paragraph. Additionally, it is available in the Open Textbook Library, where it has also undergone peer review.

Advanced Stochastic Processes (Stochastic Calculus)

This text is in use at Iowa State University (MATH 645). It appears to be under full copyright, without having specified permissions even for wide access. I have emailed the creator, Gregory Lawler, to request clarification of his intended permissions for its use. I am leaving this entry here so I remember to follow up. In the meantime, if it looks useful to you let me (Kathy.Essmiller@okstate.edu) know and I will follow up even quicker.  It may be he is more likely to grant permissions for specific case use rather than broad open licensing.

License

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Exploring Open by Kathy Essmiller is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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