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A First Course in Complex Analysis

Chapter 5 Consequences of Cauchy’s Theorem

Analysis is the art of taming infinity.
―Neil Falkner
Cauchy’s Theorem and Integral Formula (Theorem 4.3.4 and Theorem 4.4.5), which we now have at our fingertips, are not just beautiful results but also incredibly practical. In a quite concrete sense, the rest of this book will reap the fruits that these two theorems provide us with. This chapter starts with a few highlights.