The book contains a large number of descriptive and study materials together with a number of difficult problems with regards to number theory analysis. The book is organized into the following chapters, with each chapter further divided.
I. REAL VARIABLES
II. FUNCTIONS OF REAL VARIABLES
III COMPLEX NUMBERS
IV LIMITS OF FUNCTIONS OF A POSITIVE INTEGRAL VARIABLE
V LIMITS OF FUNCTIONS OF A CONTINUOUS VARIABLE. CONTINUOUS AND DISCONTINUOUS FUNCTIONS
VI DERIVATIVES AND INTEGRALS
VII ADDITIONAL THEOREMS IN THE DIFFERENTIAL AND INTEGRAL CALCULUS
VIII THE CONVERGENCE OF INFINITE SERIES AND INFINITE INTEGRALS
IX THE LOGARITHMIC, EXPONENTIAL AND CIRCULAR FUNCTIONS OF A REAL VARIABLE
X THE GENERAL THEORY OF THE LOGARITHMIC, EXPONENTIAL AND CIRCULAR FUNCTIONS
Read more about this topic: A Course Of Pure Mathematics
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Famous quotes containing the word contents:
“Yet to speak of the whole world as metaphor
Is still to stick to the contents of the mind
And the desire to believe in a metaphor.
It is to stick to the nicer knowledge of
Belief, that what it believes in is not true.”
—Wallace Stevens (18791955)
“Conversation ... is like the table of contents of a dull book.... All the greatest subjects of human thought are proudly displayed in it. Listen to it for three minutes, and you ask yourself which is more striking, the emphasis of the speaker or his shocking ignorance.”
—Stendhal [Marie Henri Beyle] (17831842)
“To be, contents his natural desire;
He asks no Angels wing, no Seraphs fire;
But thinks, admitted to that equal sky,
His faithful dog shall bear him company.”
—Alexander Pope (16881744)