### Post by Priem19 on Oct 18, 2018 17:02:54 GMT

Source:

www.physicsforums.com/insights/how-to-study-mathematics/

www.physicsforums.com/insights/self-study-basic-high-school-mathematics/

www.physicsforums.com/insights/self-study-calculus/

Elementary math

Algebra

Geometry

General math

Math exercise

Intermediate math

Calculus

www.physicsforums.com/insights/how-to-study-mathematics/

www.physicsforums.com/insights/self-study-basic-high-school-mathematics/

www.physicsforums.com/insights/self-study-calculus/

"We often get questions here from people self-studying mathematics. One of those questions is what of mathematics should I study and in what order. So in order to answer those questions I have decided to make a list of topics a mathematician should ideally know and what prerequisities the topics have."

Elementary math

Algebra

- Gelfand - Algebra: www.goodreads.com/book/show/2140100.Algebra

Geometry

- Kiselev - Geometry, Book I. Planimetry: www.goodreads.com/book/show/2096950.Kiselev_s_Geometry_Book_I_Planimetry
- Kiselev - Geometry, Book II. Stereometry: www.goodreads.com/book/show/5451000-kiselev-s-geometry-book-ii-stereometry
- Gelfand - Trigonometry: www.goodreads.com/book/show/1414631.Trigonometry
- Lang - Geometry: www.goodreads.com/book/show/737512.Geometry

General math

- Lang - Basic Mathematics: www.goodreads.com/book/show/79781.Basic_Mathematics

Math exercise

- Rich, Schmidt - Schaum's Outline of Elementary Algebra: www.goodreads.com/book/show/205519.Schaum_s_Outline_of_Elementary_Algebra
- Rich, Thomas - Schaum's Outlines: Geometry: www.goodreads.com/book/show/3077518-schaum-s-outlines
- Moyer, Ayres Jr. - Schaum's Outline of Trigonometry, 5th Edition: www.goodreads.com/book/show/15854734-schaum-s-outline-of-trigonometry-5th-edition
- Safier - Schaum's Outline of Precalculus, 3rd Edition: www.goodreads.com/book/show/16325774-schaum-s-outline-of-precalculus-3rd-edition

Intermediate math

Calculus

- Keisler - Elementary Calculus: An Infinitesimal Approach:

www.math.wisc.edu/~keisler/calc.html

www.goodreads.com/book/show/13207050-elementary-calculus - Nitecki - Calculus Deconstructed: A Second Course in First-Year Calculus: www.goodreads.com/book/show/6799512-calculus-deconstructed
- Nitecki - Calculus in 3D: Geometry, Vectors, and Multivariate Calculus: www.goodreads.com/book/show/41392172-calculus-in-3d
- Ross - Differential Equations: www.goodreads.com/book/show/2406672.Differential_Equations