For thousands of years, mathematicians have used the timeless art of logic to see the world more clearly. In The Art of Logic, Royal Society Science Book Prize nominee Eugenia Cheng shows how anyone can think like a mathematician - and see, argue and think better. Learn how to simplify complex decisions without over-simplifying them. Discover the power of analogies and the dangers of false e…
"[Cheng] does a great service by showing us non-mathematician schlubs how real mathematical creativity works." -- Wall Street Journal How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our greatest minds. And they are all the same question: What is infinity? In Beyond Infinity, Eugenia Cheng takes u…
All eleven year old Alex Petroski wants is to launch his golden iPod into space. With a series of audio recordings, he'll show other life-forms what life on Earth-his earth is really like. But for a boy with a long-dead dad, a troubled mom, and a mostly not-around brother, Alex struggles with the big questions: where do i come from?, who's out there? and above all, how can i be brave? Determ…
The Diffusion Hydrodynamic Model (DHM), as presented in the 1987 USGS publication, was one of the first computational fluid dynamics computational programs based on the groundwater program MODFLOW, which evolved into the control volume modeling approach. Over the following decades, others developed similar computational programs that either used the methodology and approaches presented in the D…
Absolute costadvantagescanplacecompetitors ata cost disadvantage, even if the scale of operations is similar for both firms. Such cost advantages can arise from an advanced position along the learning curve, where average costs decline as cumulative output rises over time. This differs from economies of scale, which involves the relationship between average costs and the output level per period…
Unmanned helicopters pose a challenge to nonlinear control design and development. Unmanned helicopters are inherently unstable without closed loop control, setting it apart from many other classes of mechanical systems that possess desirable structural properties such as passivity or dissipativity. In addition, helicopter dynamics are highly nonlinear and strongly coupled, and therefore dis…