This book represents my personal journey of discovery, getting stuck, asking fundamental “why” questions, and trying to build understanding in mathematics, physics, and computation from first principles. Much of what appears here grew out of ponderings and explorations that brought me immense joy, or as Richard Feynman put it, “the pleasure of finding things out.”
The book spans across three parts: ‘Mathematical Curiosities’, ‘Ponderings on the Physical Sciences’, and ‘Computational Methods’, covering the most intriguing parts of my journey, ranging from finding out asymptotic lengths of factorials, visualising how expanding cubes can solve cubic equations, deciphering how wheels move despite having stationary contact points, experimental approaches to find out the power law governing pulls of magnets, programming an engine to play combinatorial games like Nim, and many more.
I am especially grateful to Dr. Thomas Britz, Editor-in-Chief of the Parabola journal and Dr. James Tanton, Mathematician-at-Large at the Mathematical Association of America for their invaluable reviews of the manuscript and insightful suggestions. I also extend a heartfelt thank you to Dr. Britz for making time out of his busy schedule to write the Foreword of the book.