Tsu Ch'ung-chih, Al Khumar Rizmi, Da Vinci, Descartes, Fermat, Newton, Euler and Fourier and the parallel impact of ma- trix maths via the first and second golden age of Chinese mathematics, the seventeenth-century Japanese mathematician Takakazu Seki, Leibniz, Gauss, JJ Sylvester, Jacques Hadamard, Hans Rademacher and Jo Walsh, an international roll call of mathematical innovation, though we did suggest that we may be entering a third golden age of Chinese mathematics that could potentially dictate how are future evolves. By Chapter 5 we were busy congratulating ourselves at having presciently forecast the shift from delivery bandwidth value to memory bandwidth value but admitted missing the significance of search and algorithms as a key associated enabling technology. We pointed out that batteries have many similarities with memory devices. Both are storage devices and both achieve performance gain through materials innovation, packaging and structural innovation. As with material behaviour, electrochemical reactions at the nanoscale are different from electrochemical reactions at the micro- or macroscale. In particular, the small particle size of nanoscale materials allows short diffusion distances that means that active materials act faster. In lithium batteries for example, nanoscale manufacturing techniques potentially increase surface area and allow for the faster absorption of lithium ions, which results in increased reactivity that means that batteries can store more energy, absorb energy faster and release energy faster when required. We gave the example of carbon nanotubes being proposed as anodes and 3D metal oxide structures that have been shown to have a reversible energy capacity of more than 1000 mAh/g, exactly what those hefty lap tops we featured earlier need in order for them to be useful and useable. You would then need those graphene-based nanostructures to dissipate the heat generated from all that extra available power. Electrophoretic displays were also credited with having invented a new 