{"id":4376,"date":"2013-12-17T06:05:42","date_gmt":"2013-12-16T21:05:42","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=4376"},"modified":"2014-08-01T19:16:25","modified_gmt":"2014-08-01T10:16:25","slug":"functions-of-two-or-more-variables","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=4376","title":{"rendered":"Functions of two or more variables"},"content":{"rendered":"
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The concept of function of one variable can be extended to functions of two or more variables. Thus for example z = f(x, y) defines a function f which assigns to the number pair (x, y) the number z. <\/p>\n

It’s familiar for some people with graphing z = f(x, y) in a 3-dimensional xyz coordinate system to obtain a surface. Sometime x and y are called independent variables and z a dependent variable. Occasionally it’s written z = z(x, y) rather than z = f(x, y), using the system z in two different senses. however, no confusion should result. <\/p>\n

The ideas of limits and continuity for functions of two or more variables pattern closely those for one variable. <\/p>\n<\/blockquote>\n