Mathematics Refreshment: Book Recommendations for Mature University Students

Absolutely, the journey towards mature age university study isn't just about diving into new subjects; it's equally important to brush up on foundational skills. For those aiming to strengthen their high school-level mathematics, there are several excellent tools and resources available. In this article, we’ll provide recommendations for books and online platforms to ensure a solid foundation, essential for succeeding in university-level courses.

Online Learning Resources: Khan Academy and Saxon Math

For a comprehensive understanding of high school-level mathematics, Khan Academy is an indispensable resource. Offering a vast library of video tutorials, practice tests, and detailed articles, this website is tailored to help students of all levels understand complex mathematical concepts. Additionally, there are many free practice problems available, along with detailed solutions, which can be easily printed for offline study. Often, students find these resources particularly useful when they are preparing for specific topics or need to review fundamental principles. Watching videos on platforms like YouTube, where many Khan Academy lessons are posted, can be highly beneficial for visual learners.

Practical Books for High School Mathematics

Addition to online resources, certain books stand out as reliable companions for brushing up on high school mathematics. Here are a few notable recommendations:

Saxon Math

Well-renowned for its incremental approach, Saxon Math is an excellent choice for students who prefer a structured, step-by-step learning experience. This series is designed to build mathematical understanding gradually, ensuring that students retain what they learn. Its reputation as an effective tool for catching up and maintaining mathematical proficiency makes it a great addition to any student's repertoire. Many users find its systematic approach particularly helpful in bridging gaps in their understanding.

Schaum’s Outline Series

The Schaum’s Outlines series is another highly recommended set of books. These concise, problem-oriented guides are perfect for addressing specific topics with clarity. Each of these books is packed with solved examples and practice problems, making them ideal for self-study or supplementary learning. The Schaum’s Outlines are particularly useful for their straightforward explanations and targeted approach to various mathematical concepts. If a focused look up of specific topics is needed, they are difficult to beat.

Calculus Made Easy

For those advancing to more advanced mathematics, such as calculus, the classic Calculus Made Easy by Sylvanus P. Thompson is a must-read. Originally published in 1910, this book has remained a favorite among students and educators alike due to its clear and accessible style. Though written nearly a century ago, Thompson's approach remains remarkably relevant. Thompson's latest edition, updated by Martin Gardner, includes modern examples and additional introductory chapters that make the book even more accessible and useful. If you were ever struggling with calculus in college, this book could be a game-changer. At just $15 for the hardback edition, it’s also an incredibly affordable option.

For those seeking an even more compact and portable reference, the original version is still widely available and is accessible online through various digital platforms. The tactile feel of a paperback might be appealing, as it makes it easy to refer to on-the-go, and you can find that version at various online retailers.

Measurement by Paul Lockhart

In addition to these more traditional books, there is also Measurement by Paul Lockhart, a fascinating exploration of mathematical concepts that goes beyond mere computation. With a focus on understanding and visual thinking, this book is a delightful read that challenges and expands your conceptual awareness of math. While Lockhart’s more formal approach might seem daunting at first glance, his engaging and enthusiastic style makes much of the content accessible and enjoyable. The book’s diagrams and explanations are particularly vivid, helping to illustrate concepts in a way that is both intuitive and thought-provoking.

Conclusion

With the right combination of online resources and carefully selected books, even mature university students can effectively reinforce their high school mathematics knowledge. From the structured approach of Saxon Math to the clarity of Thompson’s Calculus Made Easy, there are a wide range of options available. Whether you’re a seasoned mathematician looking to refresh your skills or a student preparing for a new academic journey, these resources can be invaluable tools in your quest for mathematical proficiency.

So, dive into these resources, whether it’s through online platforms like Khan Academy or through the pages of a carefully chosen book. Remember, the most important thing is to stay curious and engaged with the subject. Good luck, and cheers to a successful academic year ahead!