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In my physics textbook, the following points are given:-
The Law of Conservation of linear momentum emerges from the homogenecity of space.
Isotropy of Space gives rise to the Law of Conservation of angular momentum.
Homogenity of time gives rise to the Law of Conservation of Energy.
However, no explanation for the above three points has been given in my book.Can someone provide explanation for the above 3 points? (If possible, please include mathematics in your explanation.)