The present book makes a compelling description of a 1.8Kg 150watt working Inertial Propulsion Device delivering a 30 gram thrust magnitude proof positive pendulum tests measurement displayed in a video; this is the only working calibrated pendulum test video of an Inertial Propulsion device available in science today: www.youtube.com/user/ggutsche1. This book is an exciting read for bright science students, teachers, science enthusiasts, a priority read for engineers and journalists looking for new stories. With the purchase of this book a free IP design software package is available for viewing the thrust calculation footprint, the peak and average force, the device aggregate center of mass acceleration, the motor size requirements and cycle timing in relation to the entered component mass, angular speed differentials, and internal mass motion distance size; this is helping the reader acquire an in-depth understanding of Inertial Propulsion physics and the the design challenges of a gravity defying device. Furthermore, the reader of this book receives the only available comprehensive, from the ground up, first original root cause rigorous formal mathematical, side by side dual energy and impulse, kinematic-algebraic-free body graphic proof positive derivation of the present inertial flywheel backrest based IP; wherein the inertial backrest is the root cause of IP's high efficiency. The proof positive is leaning on Newton's own math derivation method of the pendulum, vector analysis, Newton's own stated third law omission, combined with modern complex domain analysis. Modern complex domain analysis means: an interwoven simultaneous multiple inertial mass motion complex timed variable energy cycle including dynamic breaking. Inertial Propulsion is explored in view of the fascinating historical timeline and the discoveries of mechanisms enigmatic behaviours leading to the present day understanding of inertial mass motion; it describes, in eye opening detail, how science has evolved from geometric analysis into the successful complex impulse/acceleration/energy numerical computer analytical techniques used by the leading edge sales volume Engineering / Science books. This study lays a compelling logic foundation with 10 known mechanisms, with well-known root cause energy flow origins causing directional impulse differentials; this is correlated toward the fulfillment path of inertial propulsion's full potential. The engineering of the IP device is presented with 40 illustrations, 14 formula derivation; at the same time, the Author restrains the level of complexity, retains clarity, reality and certainty by logically carving difficult problems into their simplest component parts. The basic convincing logic, how internal IP impulses are actually possible is explained with the author`s patented US-patent# 8491310 "Teaching Aid Device for teaching the principles of self-contained IP impulse generator method within an isolated system"; the maximum speed limit of IP is derived and proven; the isolated IP system conservation of momentum and conservation of kinetic energy is derived and proven; the derivation solution for the accelerated inertial reference frame is presented and the top energy efficiency of IP is clarified. The comments of PHD expert readers are presented: Prof. Provatidis author of many IP Papers writes: From a first glance, your system is a control system; this is concerning todays state-of-the-art research. "The unworkable devices" website Prof. D. Simanek writes: The trebuchet and its measurements are compelling, aren't they? Author of Math, Physics books and papers writes: Dr. Roger Anderton: Your science book arrangement is so controversial; some conservative people will not like it to enter mainstream science. J Casey: A very interesting book. Dr. Dennis Allen writes: Hi Gottfried, Your book is a brilliant description of Newton's limited third law validity; it clearly shows that the third law needs work!