I thought that you as reader would enjoy this writing on the great dignity of the human soul. This book offers a sharp contrast to the main topics on which I tend to post and was written and compiled from my heart. I have often posted articles on extremely manned starship technologies, and as a physicist, I will continue to do such. However, I offer this rather long article as a sharing of my personal belief in the transcendent dignity of every human person and by corollary that of any of our ETI brothers and sisters. With modern technological capabilities to monitor the various emotional and mental states of test subjects and the ability to measure and experimentally probe the electric and magnetic fields generated within the human body, we sometimes are tempted to view the human soul as some form of corruptible energy field. We long for a rekindling of a sense of mystery regarding the ephemeral reality of the human soul. This book is motivated as an attempt to restore a sense of mystery in the minds and hearts of any and all persons who will read this post regarding that aspect of our human nature that seems to be beyond validation by modern science, technology, and medicine and which seems to defy certain and precise explanation by philosophers, theologians, and clergyman alike.

Some theoreticians contemplate and formulate the physics of tachyons, which are hypothetical particles, that would always travel faster than light but which could never slow down to the speed of light just as they anticipate sublight speed massive particles never being able to achieve light speed. So my theoretical work on the physics and kinematics of light-speed massive systems sets me apart from general trends in the theoretical field of relativistic astronautics. This book is a continuation of how and why we may be able to, at some future time, travel at the speed of light.

Here is a complete self-teaching guide for anyone needing knowledge of math as it applies to engineering and technical fields.

A compelling narrative that blends the story of infinity with the tragic tale of a tormented and brilliant mathematician.

In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time. Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat’s Last Theorem, and Iwasawa’s theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture, as well as a chapter on other recent developments, such as primality testing via Jacobi sums and Sinnott’s proof of the vanishing of Iwasawa’s f-invariant.