A Really Quick Derivation of The Cauchy-Riemann Equations — Relativity Digest

Here is a really quick derivation of the Cauchy-Riemann equations of complex analysis. Consider a function of a complex variable, , where , such that: , where and are real-valued functions. An analytic function is one that is expressible as a power series in . That is, . Then, . We formally differentiate this equation […] via A Really Quick Derivation of The Cauchy-Riemann Equations — Relativity Digest

Maryam Mirzakhani

Thank you to our outgoing Editor-in-Chief The new edition of the latest EMS Newsletter is notable not only for the decimal expansion of its index, but also because it is – sadly! – the final edition under the current Editor-in-Chief, Lucia Di Vizio. Lucia has been in post since 2012, during which time the Newsletter has recorded several significant moments in mathematical history, from the deaths of John Nash & Alexander Grothendieck to the Fields Medal triumphs of Cédric Villani & Maryam Mirzakhani. It has…

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