This book is a collection of notes on core undergraduate-level mathematics concepts.
I am currently a high school student in Singapore pursuing my A Levels. My passion for mathematics extends over 11 years, with experiences in both mental arithmetic competitions (3 years) and the Mathematics Olympiad (remaining years).
While primarily serving as my personal notes for university-level mathematics, I am happy to share this resource with anyone interested in exploring these concepts. Feel free to use this book as a supplementary study guide alongside your main textbook or lectures.
This book will delve into fundamental university mathematics topics, explained in a clear and concise manner. The focus will be on building a strong foundation for further mathematical exploration.
The book mainly contains the following sections:
- preliminary topics such as basic logic and set theory,
- abstract algebra,
- linear algebra,
- real analysis,
- complex analysis, and
- topology.