Analytic functions, defined by the property of being locally expressible as convergent power series, form a cornerstone of complex analysis. Differential operators, which act on these functions by ...

Check your understanding of differential calculus and practise finding the greatest/least value(s) a function can take using optimisation. Create an expression for and use optimisation to find the ...

To find the maximum or minimum values of a function, we would usually draw the graph in order to see the shape of the curve. Now, using our knowledge from differentiation, we can find these greatest ...

THE English edition of Vol. 1 of this work was briefly reviewed in NATURE of March 9, 1935, and the present volume is a translation, also by Prof. McShane, of the original German text which was ...