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Full text of "History Of The Theory Of Numbers - I"

_____CHELSEA   SCIENTIFIC  BOOKS______
DIFFERENTIAL AND INTEGRAL CALCULUS
By E. LANDAU
Landau's famous Calculus is now available, in English, as a textbook for advanced calculus courses. Completely rigorous, completely self-contained, borrowing not even the fundamental theorem of algebra (of which it gives a rigorous elementary proof), it develops the entire calculus including Fourier series, starting only with the properties of the number system. A few of its important features are the following:
Everything is defined and proved within fh* text itself—logically comp1
Nothing assumed but th number system.
Every hypothesis, including the t, hypotheses, are fully explicit.
Unimpeachable rigor. Short and elegant proofs.
No issues are left hanging in the air and no appropriate question is left unanswered— complete to the last detail.
Every relevant detail strictly accounted for —no dust swept under the carpet.
Every pitfall meticulously pointed out— including the possible acceptance as "obvious" of matters actually requiring proof.