Computational Problems in Engineering

The fascinating story of a problem that perplexed mathematicians for nearly 400 yearsIn 1611, Johannes Kepler proposed that the best way to pack spheres as densely as possible was to pile them up in the same way that grocers stack oranges or tomatoes. This proposition, known as Kepler's Conjecture, seemed obvious to everyone except mathematicians, who seldom take anyone's word for anything. In the tradition of Fermat's Enigma, George Szpiro shows how the problem engaged and stymied many men of genius over the centuries--Sir Walter Raleigh, astronomer Tycho Brahe, Sir Isaac Newton, mathematicians C. F. Gauss and David Hilbert, and R. Buckminster Fuller, to name a few--until Thomas Hales of the University of Michigan submitted what seems to be a defini...

Emphasizing the connection between mathematical objects and their practical C++ implementation, this book provides a comprehensive introduction to both the theory behind the objects and the C and C++ programming. Object-oriented implementation of three-dimensional meshes facilitates understanding of their mathematical nature. Requiring no prerequisites, the text covers discrete mathematics, data structures, and computational physics, including high-order discretization of nonlinear equations. Exercises and solutions make the book suitable for classroom use and a supporting website supplies downloadable code....

C++ Gotchas is the latest addition to the distinguished roster of Addison-Wesley's bestselling programming titles, such as Effective C++ and Exceptional C++. While appealing to the same broad audience of intermediate C++ programmers, this book has a completely different approach. The author presents 99 "gotchas" - common and preventable problems in C++ programming and design. The gotchas run the gamut from minor syntactic annoyances to basic design flaws to psychological behavior. The material has been selected based on the author's extensive experience presenting gotchas in his training classes, speaking engagements, and magazine articles. By learning the lessons in this book C++ programmers will save themselves much time and wasted effort...