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대학원 준비하시거나 임용을 준비 하시는 분들이 해석학을 빠른 시간내에 볼수 있도록 제작하였습니다. 21페이 분량으로 예제를 포함하였습니다.

목차

CH2. Sequences and Sets of Real Numbers

CH3 Functions and Limits

CH4. Continuous Functions

CH5. Differentiable Functions

CH6. The Riemann Integral

CH7. Sequences and Series if Functions

본문내용

25. Cauchy criterion
converges uniformly on I


26. Series is said to converge pointwise to the ft. S(x) on I
if converges to for all

27. Series is said to converge uniformly to S(x) on I
if the sequnece of partial sums converges uniformly to on I

28. Weierstrass M Test
if for all and for k=1,2,3, ....
if the series of nonnegative constant converges
then converges uniformly on I

29. is uniformly convergent on
1) for all
2) converges (P series, with P=2)
By Weierstrass M Test
converges uniformly on

30. converges uniformly on [0, 2]
bounded in [0, 2] where conti. and diff. on [0, 2]
which zero only at

The largest of the value
The smallest of the value 0
on [0, 2]
converges uniformly on [0, 2]

참고 자료

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