A Separate Sphere

This book presents selected mathematical problems involving the dynamics of a two-dimensional viscous and ideal incompressible fluid on a rotating sphere. In this case, the fluid motion is completely governed by the barotropic vorticity equation (BVE), and the viscosity term in the vorticity equation is taken in its general form, which contains the derivative of real degree of the spherical Laplace operator.

In addition to expanding and clarifying a number of sections of the first edition, it generalizes the analysis that eliminates the noncausal pre-acceleration so that it applies to removing any pre-deceleration as well.

OpenSCAD is a free, multiplatform 3D CAD program that's ideal for producing models that are going to be 3D printed. Unlike most other modeling apps, in OpenSCAD you design objects using text instructions alone. Sounds scary? Don't worry. In this introductory lesson Steve Caplin takes you through the basics and shows you how to create a captive sphere model—using just 10 lines of code—and make the object printable.

"This is a remarkable book. […] A fresh and novel approach to old problems and to their solution." –Fritz Rohrlich, Emeritus Professor of Physics, Syracuse University This book takes a fresh, systematic approach to determining the equation of motion for the classical model of the electron introduced by Lorentz more than 100 years ago.

Every day for nine months from September 1944, young British Commonwealth and Norwegian airmen flew from Banff, Fraserburgh and Peterhead in northern Scotland to target German U-boats, merchant men and freighters in the fjords and leads of southwest Norway, encountering the Luftwaffe and flakships every step of the way.

In addition to expanding and clarifying a number of sections of the first edition, it generalizes the analysis that eliminates the noncausal pre-acceleration so that it applies to removing any pre-deceleration as well.