Since you asked about the math, let me assume you like science and numbers. Here is more than you ever wanted to know about calories. First thing you need to know is calories are a measurement of HEAT not (mass) weight.
It's not just about the math, but also about how the machine (your body) works and uses it's fuel (food). Your body has what is called a Basal Metabolic Rate (BMR). This is the amount of energy (counted as calories) your body uses daily to survive if you stayed in bed all day. Any movement increases this BMR and this is where your daily calorie range comes from.
You also need to know from where your body draws it's energy. The body draws energy from fat reserves in the liver, muscle tissue and fat tissue. Next you need to know how the body uses this energy. It combines fats drawn from these reserve areas with carbohydrates in your diet and converts that compound into heat (calories).
One pound = 3500 calories is not exactly right. The body converts 1 pound of energy reserves stored in the body as fats into 3500 calories of heat. It does this through BMR combined with any kind of movement, i.e. exercise.
The idea is to increase movement to create more heat than is absorbed by the body through the intake of food. But the body needs a certain about of food in the form of carbohydrates to combine with the energy stores in order to metabolize them. This is why cutting calories from your diet below a certain level doesn't work, because you are reducing the amount of energy required to metabolize fat reserves.
Now that I have thoroughly confused you, do you have any questions?
You can post them here if you like or you can email me.
Nothing tastes as good as healthy feels and looks.
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