After studying and teaching math and science over the years I realized that many good opportunities for learning and teaching important and essential things were missing from the resources that were available. Included in this book are many exercises, techniques and insights that strengthen a learner’s mathematical and logical abilities which are simply not to be found anywhere else. Also included are things which I have learned from different, disparate places that, for the student’s convenience, have all been gathered into one place and which I attempted to explain in simpler terms than what is currently available. Afterall, it is hard enough to learn these concepts let alone have to shift through all of the data to find what really pertains to one’s study. Some of the material presented are things which I myself found to be the most confusing. In this regard I hope that the manual can be a great resource for students trying to learn more about math and science as well as the workings of nature. Even though it is unlikely a reader will be able to understand all of the material presented on their own and without the presence of a teacher, having another resource in which the material and concepts are presented in a unique and simpler way is highly useful. Generally, when people learn about math and science, they are usually not satisfied by the answer that their teacher or textbook has to give on why nature settled on a certain constant or equation. It’s mind boggling to me how many people fail to acknowledge the relatedness of many physical constants as well as the logic behind some of the greatest discoveries, and in effect are missing out on a lot of the beauty behind science and the workings of nature.