Sounds like your doctor didn't want to be bothered with what he didn't perceive as a problem. Nails and hair reflect metabolic conditions including nutritional status. Flaking, peeling nails could be an early symptom of many conditions. You might consider seeing a dermatologist and having some tests run including thyroid panel (TSH AND FT4), albumin level, vitamin D level (calcium can't be absorbed without it). You didn't mention if your hands are in water a lot or if you are in contact with strong chemicals. Good luck.