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In this chapter we introduce complex integration and apply it to the theory of holomorphic functions. We begin by studying the basic properties of complex line integrals and prove an analogue of the fundamental theorem of calculus for complex line integrals.

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Complex Integration

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  • 发表日期：

    2025年

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  • Mei-Chi Shaw,
  • Charles M. Stanton

摘要

In this chapter we introduce complex integration and apply it to the theory of holomorphic functions. We begin by studying the basic properties of complex line integrals and prove an analogue of the fundamental theorem of calculus for complex line integrals.