Self-Study Guide for Math Basics: A Comprehensive Overview of Essential Books and Online Resources

Are you looking to learn the basics of math independently and reach an advanced level in 10 years or less? This self-study guide provides a list of top books and online resources to help you achieve your goals. Whether you missed out on math education in school or simply wish to improve your mathematical skills, our recommendations can guide you through the foundational concepts to more advanced topics.

Math 4 Teens: A Free and Advanced Online Course

For the advanced learner, the 'Math 4 Teens' course is an excellent choice. This course offers video-recorded lectures with detailed notes, much like a textbook. The site is completely free, with no ads and no hidden costs. While it may be challenging, it is designed to take you to a high level of math within a reasonable timeframe, making it ideal for those who want to accelerate their learning.

Cost-Effective Books for Self-Study

For those seeking lower-cost options, Schaum's Outlines and educational videos, particularly those from Khan Academy, are highly recommended. These resources cover a wide range of mathematical subjects and provide numerous practice problems to reinforce your learning.

Our Recommendations for Comprehensive Math Education

Here are three books that we recommend for self-study, ranging from basic to advanced levels:

1. Teach Yourself Basic Mathematics by Alan Graham (Hodder, 2008)

This book covers the essentials of arithmetic, including very basic algebra, mensuration, and statistics. It is also dedicated to a chapter on spreadsheets, making it a valuable resource for practical applications. It is designed for adult learners who want to build a solid foundation in mathematics.

2. Teach Yourself Maths by Trevor Johnson and Hugh Neill (Hodder, 2013)

This is a more advanced book that covers topics typically found at the GCSE level (Ages 14 to 16) but is styled for adult learners. As with the previous book, it is a small and easy-to-read paperback. Both books are part of a series that is designed to help adults catch up on and excel in mathematics.

3. Basic Mathematics by Serge Lang (Springer, 1988)

This book is significantly more rigorous and dives into more depth, making it suitable for those who wish to embark on a more advanced study of mathematics. The author notes that the book covers material typically studied in college algebra in the USA and in high school in some countries. While it may be challenging, it is highly beneficial for A-level math students who want to go beyond the standard curriculum and explore more advanced techniques and concepts.

These resources, whether from the online course or the printed books, can help anyone looking to strengthen their mathematical skills and gain a deep understanding of the subject. Whether you are a self-learner or an adult who has missed out on formal math education, there are plenty of tools and resources available to help you achieve your goals.

Remember, the key to successful self-study is consistent practice and application. With the right resources and dedication, you can make substantial progress in your mathematical knowledge in a relatively short period.