Dive into a comprehensive 56-minute keynote from JuliaCon 2018 featuring Nick Higham, Royal Society Research Professor and Richardson Professor of Applied Mathematics at the University of Manchester. Explore a wealth of tricks and tips in numerical computing, covering topics such as differentiation techniques, complex plane computations, matrix operations, and low precision arithmetic. Learn about the complex step method, unwinding numbers, roundtrip relations, and the matrix chain multiplication problem. Gain insights into IEEE Standard 754, rounding error analysis, and the applications of half-precision arithmetic. The talk concludes with a Q&A session addressing randomization, method selection, and the relationship between low precision and power consumption.