Embarking on Adventurous Journeys Through Some Subjects in Pure Mathematics

Part I of this book, Embarking on Adventurous Journeys Through Some Subjects in Pure Mathematics, unveils breakthroughs in exploring into nested radicals and algebraic identities, along with the innovative application of trigonometric and hyperbolic trigonometric functions in solving polynomial equations within the realm of pure mathematics. This book aims to refresh a small facet of these subjects by adopting an unconventional yet intentionally creative approach. One of our adventurous endeavors is to suggest/propose new elementary function(s) in mathematics that aid in understanding the order of real and complex numbers and facilitate the solution of specific polynomial forms with ease.