Equity value vs Stockholders Equity

"Stockholder's equity" is how we label Equity in corporations, so it should be identical to the general concept of "Equity", except if, by a confusing misuse of words, by "Stockholder's equity" the authors meant "Shareholder Capital", which sometimes it is used to mean only a part of Equity (the nominal (par) value of shares issued), the other main parts of Equity being "Paid up capital" (amounts paid "above par"), various "Reserves", Retained Earnings.