Cryptological Mathematics (Mathematical Association of America Textbooks)

This is an introduction to the mathematics involved in the intriguing field of cryptology, the science of writing and reading secret messages which are designed to be read only by their intended recipients. It is written at an elementary level, suitable for beginning undergraduates, with careful explanations of all the concepts used. The basic branches of mathematics required, including number theory, abstract algebra and probability, are used to show how to encipher and decipher messages, and why this works, giving a practical as well as theoretical basis to the subject. Challenging computer programming exercises are also included. The book is written in an engaging style which will appeal to all, and also includes historical background on some of the founders of the subject. It will be of interest both to students wishing to learn cryptology per se, and also to those searching for practical applications of seemingly abstract mathematics.

Robert Edward Lewand received his PhD in mathematics from the University of Virginia. He is the co-author of two books: Expert System Development, and Intelligent Systems Design. He has delivered numerous talks and published extensively in professional journals largely in the areas of expert systems and artificial intelligence. He has been the recipient of several awards: Outstanding Teacher in the Faculty of Science (from Goucher College, 1980), Fulbright Faculty Exchange Award (Great Britain, 1987), Outstanding Scholarship Award (Groucher College, 1989), and the Caroline Doebler Bruckerl Award for the Outstanding Faculty Member (Groucher College, 1999).