Mathematical Cryptology

This work offers a comprehensive introduction to cryptology, enriched by a solid foundation in elementary number theory and the essential numerical algorithms it relies on. It provides readers with the core knowledge needed to understand cryptographic schemes, assess their security, and explore methods of cryptanalysis. 

Comprehensive overview of the mathematical foundations of contemporary cryptology.

Relevant proofs included.

No need to consult external sources.

Dimitrios Poulakis is Emeritus professor in Department of Mathematics of Aristotle University of Thessaloniki (Greece). He received his B. Sc. in Mathematics from the University of Ioannina (Greece) and his M.Sc. and Ph.D degree in Mathematics from the University of Paris XI (Centre d'Orsay), France. His work consists of selected publications in Number Theory and Public-Key-Cryptography including 9 books in Number Theory, Cryptography, Geometry of Algebraic Curves, Algebraic Codes, Algebra (in Greek) and more than 60 papers in referred scientific journals (https://zbmath.org/authors/?q=poulakis). He was the supervisor of four PhD Thesis and of more than 40 Msc Thesis. He gave selected lectures at the Department of Mathematics of the Universities of Strasburg I, Marseille II, Toulon, Crete, Ioannina, Athens, at Jussieu Institute of Mathematics in Paris, at the Research Institute of Symbolic Computation in Linz University, at Research group ERISCS (University Aix-Marseille II), etc. He has also participated in 50 international conferences and workshops. He was a visiting professor at the Universities of Marseille II, Toulon and Paris VII. He has taught in the undergraduate programs of the Departments of Mathematics of the universities of Ioannina, Thessaloniki and in the postgraduate programs of the Department of Mathematics of the Aristotle University of Thessaloniki, Hellenic Army Academy and the Hellenic Open University.