Springer undergraduate mathematics series

"This book is an integrated introduction to the mathematics of coding, that is, replacing information expressed in symbols, such as a natural language or a sequence of bits, by another message using (possibly) different symbols. There are three main reasons for doing this: economy, reliability, and security, and each is covered in detail. Only a modest mathematical background is assumed, the mathematical theory being introduced at a level that enables the basic problems to be stated carefully, but without unnecessary abstraction."--Jacket.

This book is a substantially revised edition of the UTM book: ISBN 0 387 96466-5, which is rewritten with a view to making the book far more accessible for undergraduates, particularly in the UK and Ireland. It contains more detailed explanations and ex ercises, together with fully worked solutions to the essential problems and a new chapter on the historical aspects.

"Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students in mathematics but will also appeal to the reader with a general interest in the history of mathematics. Emphasis is placed on understanding the historical significance of the new mathematics: Why was it done? How - if at all - was it appreciated? What new questions did it generate?"--Jacket.