This book describes a small 1.8Kg 150watt working Inertial Propulsion Device delivering a 30 gram thrust magnitude proof positive mechanical pendulum tests measurement displayed in a video; this is the only working calibrated pendulum test video of an Inertial Propulsion device available on the internet today, from www.mindbites.com/series/1278/ and youtube ggutsche1 PC130005; P1100007. 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 user entered component mass size, angular speed differentials, and internal motion distance size; this is helping the reader acquire an in-depth understanding of Inertial Propulsion physics and is helping to understand the design size requirement of a gravity defying device. Furthermore, the reader receives the only available comprehensive, from the ground up, original root cause rigorous formal mathematical, dual energy and impulse, vector-kinematic-algebraic proof of the present dynamic inertial flywheel backrest based IP; the backrest is the root cause of the presented IP's high efficiency. The proof positive derivation is leaning on Newton's own math derivation method of the pendulum, Newtonian vector type 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. The basic compelling logic, how internal IP impulses are actually possible is explained with the authors 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 energy objection is derived and proven to be redundant; the derivation solution for the accelerated inertial reference frame is presented and the maximum energy efficiency of IP is clarified. Inertial Propulsion is explored in view of the fascinating historical timeline, 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 analytical relation techniques used by the leading edge sales volume Engineering / Science books and papers. This study lays a compelling logic foundation with 8 known mechanisms, with well-known regenerative energy flows causing impulse differentials; this is correlated toward the fulfillment path of inertial propulsion's full potential. The engineering of the IP device is presented with 35 illustrations, 14 formula derivation; at the same time, the Author restrains the level of complexity without sacrificing subject clarity, reality and certainty by logically ordering difficult problems into their simplest component parts; this makes this book suitable for senior high school science students, teachers, science enthusiasts, engineers, students of science and journalists. The comments of PHD expert readers are: 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; many conservative people will not like it to enter mainstream science. Dr. Dennis Allen writes: Your book is a brilliant presentation of Newton's limited third law validity; it clearly shows that the third law badly needs work