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 included mathematical articles by the likes of Freeman Dyson & D.H.J. Polymath(!) and interviews with luminaries including Artur Avila & Endre Szemerédi. It has published fascinating historical articles on all manner of topics across the continent of Europe, thoughtful pieces on mathematical pedagogy and outreach, and a very great deal else besides. (If you’re in doubt, then browse the archive free online here:
http://www.ems-ph.org/journals/all_issues.php?issn=1027-488X )

Under her stewardship, our society’s Newsletter has gone from strength to strength, and we are hugely grateful. Also, it was Lucia who dragged the EMS into the 21st century world of social media, by starting its Facebook & Twitter pages. So, for this too, thank you Lucia!

The incoming Editor-in-Chief with the unenviable task of filling Lucia’s shoes, is Valentin Zagrebnov. Welcome, Valentin, and good luck!

The latest and 100th issue of the EMS Newsletter is here: