The Logarithmic Potential: Discontinuous Dirichlet and Neumann Problems
This book studies fundamental properties of the logarithmic potential and their connections to the theory of Fourier series, to potential theory, and to function theory. The material centers around a study of Poisson's integral in two dimensions and of the corresponding Stieltjes integral. The results are then extended to the integrals in terms of Green's functions for general regions.
Hidden Connections, Double Meanings: A Mathematical Exploration
This book subverts and surprises. It explores mathematical topics, finding amazing similarities and looking at familiar objects in new ways. It shows mathematics as something mysterious, intriguing and pleasurably puzzling. You do not need to be a mathematician to enjoy this book. The style is relaxed. It emphasises insight and imagination rather than technique.
Curious and Interesting Puzzles, The Penguin Book of (Penguin science)
A companion to the same author's "Dictionary of Curious and Interesting Numbers" and "Dictionary of Curious and Interesting Geometry", this book covers mathematical and logical puzzles from the Ancient Greeks to the present day.
The Penguin Dictionary of Curious and Interesting Numbers
First published in 1986, this mind-boggling and entertaining dictionary, arranged in order of magnitude, exposes the fascinating facts about certain numbers and number sequences - very large primes, amicable numbers and golden squares to give but a few examples.
Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work.
