To do this I feel that it is important to cover the prerequisites as well and instead of doing so in a historic manner or the way normally done, I will do so in the way that makes modern ideas and fundementals apparent. For example I will drop hints to developments in general relativity and Quantum mechanics in ways that fit and make it evident that this old boring physics is actually useful and means something. I will also not cover the required mathematics where I feel it is sufficiently covered elsewhere and focus on those that are not sufficiently covered or if so, usually in a dense imprenatrable manner. For example, there is plenty on vectors and differential calculus but not enough on tensors, einstein summation notaction and space time metrics. My goal is to have anyone that reads the series be able to comprehend pages like this.
The programming aspect will be a little demo program provided to aid in the intuitizing of concepts for each Part.
A Series on a Modern Approach to Old Physics
Introduction: Proper Physical Intuition, Physics as the Study of Motion
Part I: Force and Mass from the Conservation Laws and Inertia
Part II: Galilean Relativity and Frames of References
Part III: Kinematics Derived from Conservation Laws
Part IV: Fields and Gravitation
I have begun Part I, an excerpt:
"Like mass and energy, momentum is another one of the intrinsic properties everything seems to have. Just as is the case for energy, we find that anything that is in motion has a momentum. The momentum of a system is defined as being proportional to (i.e. dependant on) both the mass and the velocity and is best conceptualized as the quantity of motion.
We began with mass being defined as a property possessed by all bodies as a result of their being a part of this universe. In our journey to understand nature most thoroughly, we find that it becomes useful to define a quantity, some property that describes a mass in motion. We call this quantity momentum. We denote momentum as p equal to mv and note that it is a very important concept.
For a closed system not interacting with anything we find that the total amount of momentum and energy contained within remains conserved, the total change remains zero. The concept of conservation of energy, of conservation in general is the most important concept in physics. If there is one thing that anyone can learn it is that the total amount of some quantity remains unchanged in a closed system."