The present book describes a 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 a small 1.8kg 150watt inertial propulsion device available on the internet today, from www.mindbites.com/series/1278/. This publication explores Inertial Propulsion in view of the fascinating historical timeline and early discovery of mechanisms intriguing 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 today by the worldwide highest sales volume, best liked Engineering Formula book published by McGraw-Hill, authored by the Kurt Gieck brothers. This study lays an undisputable logic foundation with 8 known mechanisms, with known derivations; this is correlated toward the fulfillment path of inertial propulsion's full potential, the analysis concludes with a rigorous mathematical and physical proof positive derivation leaning on Newton's own math derivation method of the pendulum, his own vector analysis, his 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 main intention of this publication is to describe the Inertial Propulsion method in the best foundation format available today. The engineering of the IP device is presented with 28 illustrations, 14 formula derivation, and highly detailed rigorous step by step proofs; at the same time, the Author restrains the level of complexity without sacrificing subject clarity, reality and certainty by logically sorting difficult problems into their simplest component parts; this makes this publication suitable for the largest possible range of audience, for example: high school science teachers, science enthusiasts, engineers and students of science. The author addresses the complete scope of inertial propulsion controversies: How machine internal self-contained impulses are actually possible in its simplest terms, the maximum speed limit of IP is explored and proven, the isolated IP system conservation of momentum and conservation of kinetic energy is resolved and proven, the derivation solution for the accelerated inertial reference frame is presented and the maximum energy efficiency of IP is clarified. The explanation starting point is the authors patented US-patent: 8491310 "Teaching Aid Device for teaching the principles of self-contained impulse generator method within an isolated system." The Present book has been expertly reviewed by multiple PhD level expertise and their comments are presented here: Professor Provatidis author of IP Papers writes: From a first glance, your system is a control system, this is concerning to days state-of-the-art research, please find attached two papers in prestigious Journals by my next-door colleague Prof. Papadopoulos. "The unworkable devices" website Professor 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; lot of people will not like it to enter mainstream science. Dr. Dennis Allen writes: Hi Gottfried, Your book is a brilliant presentation of Newton's limited third law validity; it clearly shows that the third law badly needs work I realize that you have a genuine respect for Sir Newton, but your work does show that you do not worship him as a God, which many scientists unwisely do. What I'm conveying is that you may run into trouble from these Newton worshipers by discrediting your proof, sight unseen, by ignorance.