This is a thoroughly written wonderful book on cryptography! This excellent book is warmly recommended for mathematicians, computer scientists, for professors and students, and, as a reference book, for researchers in the area of cryptography.

This book differs from its 1988 version in two ways. That a lot of new material has been added is to be expected in a field that is developing so fast. Apart from a revision of the existing material, there are many new or greatly expanded sections, an entirely new chapter on elliptic curves and also one on authentication codes. The second difference is even more significant. The whole manuscript is electronically available as an interactive Mathematica manuscript. So, there are hyperlinks to other places in the text, but more importantly, it is now possible to work out non-trivial examples. Even a non-expert can easily alter the parameters in the examples and try out new ones. It is our experience, based on teaching at the California Institute of Technology and the Eindhoven University of Technology, that most students truly enjoy the enormous possibilities of a computer algebra notebook. Throughout the book, it has been our intention to make all Mathematica statements as transparent as possible, sometimes sacrificing elegant or smart alternatives that are too dependent on this particular computer algebra package.

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