Those who have passion with mathematics feel great joy as they indulge in solving a challenging mathematical riddle and when they are busy reading about a mathematical problem that has been puzzling mathematicians of antiquity or reading an elegant proof of a theorem that reveals admirable insight. This feel of "mathing" is, in a way, similar to the feeling when you listen to good music or watch a beautiful piece of art. However, we also know that there are many other people who have not been exposed sufficiently to math practicing and who would equally enjoy sailing in its sea if they have the opportunity to get more familiar with its treasures. You do not have to be a mathematician to appreciate the reasoning of a shrewd mathematical proof or enjoy brain stimulation brought by a mathematical riddle. In this book, I am trying to explore the elements of beauty in mathematics in a journey through classical and modern mathematical problems and accomplishments. Topics discussed are those that would intrigue most of us and not those typically included in standard school syllabuses.