A. C. Thompson – författare

Minkowski geometry is a type of non-Euclidean geometry in a finite number of dimensions in which distance is not 'uniform' in all directions. This book presents the first comprehensive treatment of Minkowski geometry since the 1940s. The author begins by describing the fundamental metric properties and the topological properties of existence of Minkowski space. This is followed by a treatment of two-dimensional spaces and characterisations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed spaces, a fascinating geometrical interplay among the various roles of the ball in Euclidean space. Later chapters deal with trigonometry and differential geometry in Minkowski spaces. The book ends with a brief look at J. J. Schaffer's ideas on the intrinsic geometry of the unit sphere. Minkowski Geometry will appeal to students and researchers interested in geometry, convexity theory and functional analysis.

Basic Hydrodynamics explores the application of computers to problem solving involved in fluid flow. This book contains 5 chapters that cover the use of BASIC programming language in hydrodynamic problems and some programs with graphic output, as well as some simple finite difference, finite element and boundary element programs. After a brief introduction to BASIC programming, this book goes discussing the fundamentals of potential flow theory that will be used to calculate flows, which can be regarded as frictionless. These topics are followed by a presentation of some analytical expressions for potential flows. Chapter 3 outlines the computer based methods for solving problems within these flows, while Chapter 4 highlights some potential flow methods to the solution of groundwater flows. Exact solutions are also provided for comparison with the computer methods. Lastly, Chapter 5 considers free surface flows, such as linear waves and flows from jets. This work will be of value to engineers, designers, and computer programmers and scientists who are interested in computer application to hydrodynamics field.