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Projective Geometry
Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the foundations of classical projective and affine geometry as well as its important applications in coding theory and cryptography. It also could serve as a first acquaintance with diagram geometry. Written in clear and contemporary language with an entertaining style and around 200 exercises, examples and hints, this book is ideally suited to be used as a textbook for study in the classroom or on its own.
Finite Geometries
This book is a compilation of the papers presented at the conference in Winnipeg on the subject of finite geometry in 1984. It covers different fields in finite geometry: classical finite geometry, the geometry of finite planes, geometric structures and the theory of translation planes.
Cryptography and Public Key Infrastructure on the Internet
A practical guide to Cryptography and its use in the Internet and other communication networks. This overview takes the reader through basic issues and on to more advanced concepts, to cover all levels of interest. Coverage includes all key mathematical concepts, standardisation, authentication, elliptic curve cryptography, and algorithm modes and protocols (including SSL, TLS, IPSec, SMIME, & PGP protocols). * Details what the risks on the internet are and how cryptography can help * Includes a chapter on interception which is unique amongst competing books in this field * Explains Public Key Infrastructures (PKIs) - currently the most important issue when using cryptography in a large organisation * Includes up-to-date referencing of people, organisations, books and Web sites and the latest information about recent acts and standards affecting encryption practice * Tackles the practical issues such as the difference between SSL and IPSec, which companies are active on the market and where to get further information
Numbers
Orignally published in German: Zahlen: Geschichte, Gesetze, Geheimnisse (Munich: C.H. Beck, 2013).
Challenging Mathematics In and Beyond the Classroom
In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particula...
Symmetry
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Advances in Cryptology – EUROCRYPT ’97
EUROCRYEVr '97, the 15th annual EUROCRYPT conference on the theory and application of cryptographic techniques, was organized and sponsored by the International Association for Cryptologic Research (IACR). The IACR organizes two series of international conferences each year, the EUROCRYPT meeting in Europe and CRWTO in the United States. The history of EUROCRYFT started 15 years ago in Germany with the Burg Feuerstein Workshop (see Springer LNCS 149 for the proceedings). It was due to Thomas Beth's initiative and hard work that the 76 participants from 14 countries gathered in Burg Feuerstein for the first open meeting in Europe devoted to modem cryptography. I am proud to have been one of t...
