## Principles of Mathematical Analysis |

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Awesome, lol.

#### LibraryThing Review

User Review - jcopenha - LibraryThingOnly the first 4 chapters. The book is really good. If you can understand all the theorems and problems then your in excellent shape. Read full review

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addition apply assume bounded bounded variation called Cauchy choose clear closed compact complex consider consists construct contains continuous function Corollary countable course cuts defined Definition denote derivative difference differentiable diverges elements empty equality equation equicontinuous Example Exercise exists extended f is continuous fact finite fixed fn(x follows Fourier function f given gives Hence holds implies increasing inequality infinite integral interval inverse limit point linear mapping mean value theorem means measurable metric space monotonic neighborhood notation Note obtain open set operator partial partition positive Proof properties prove range rational real function real numbers relation Remark respect result Riemann integral satisfies sequence shows simple subset Suppose f Theorem theory true uniform upper values vector write