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.
► 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.