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I am reading the book "Several Real Variables" by Shmuel Kantorovitz ... ...
I am currently focused on Chapter 2: Derivation ... ...
I need help with an aspect of Kantorovitz's definition of "differential" ...
Kantorovitz's Kantorovitz's definition of "differential" reads as follows:
Is the "differential" as defined by Kantorovitz for real-valued functions of several real variables the same as 'the derivative" ...
If so ... is it the same situation for vector-valued functions of several real variables ...
... and ... further to the above ... is the gradient, ##\bigtriangledown f## the differential/derivative for real-valued functions of several real variables, ##f## ... ...Help will be appreciated ...
Peter
I am currently focused on Chapter 2: Derivation ... ...
I need help with an aspect of Kantorovitz's definition of "differential" ...
Kantorovitz's Kantorovitz's definition of "differential" reads as follows:
If so ... is it the same situation for vector-valued functions of several real variables ...
... and ... further to the above ... is the gradient, ##\bigtriangledown f## the differential/derivative for real-valued functions of several real variables, ##f## ... ...Help will be appreciated ...
Peter
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