Book Recommendations

I currently have a personal library of over 200 books at home, most of which are Mathematics texts, along with selected titles in Geography, Computer Science, and Physics. Whenever I have free time, I enjoy diving into these books. Below are some carefully curated book recommendations that I have found especially helpful in my pursuit of Mathematics. By the way, I'm a big fan of Springer.

Essential Mathematics for Undergraduates: A Guided Approach to Algebra, Geometry, Topology and Analysis by Simon G. Chiossi (2021). This book was the main reference book I used when studying MA1100T Basic Discrete Mathematics (T) and I liked it as it covered the course contents plus beyond in depth!

Abstract Algebra by David S. Foote and Richard M. Foote (2003). My journey in Abstract Algebra surprisingly did not start from here though as I found the book pretty abstract back then. Instead, I turned to Contemporary Abstract Algebra by Joseph A. Gallian (2013), which is a much easier reference text with many good examples and exercises. Having said that, one must still walk through the gates of Dummit and Foote's book.

Linear Algebra Done Right (4th edition) by Sheldon M. Axler (2023).

Analytic Number Theory: Exploring the Anatomy of Integers by Jean-Marie De Koninck and Florian Luca (2012). Contrary to the standard reference text by Apostol (1986), I prefer this book a lot. In fact, this was the first book on Analytic Number Theory that I encountered and it made me fall in love even more. Nice exercises and solutions included. Occassionally, I would read M. Overholt's A Course in Analytic Number Theory (2014) too which complements this book very well.