Mathematical Cryptology: Based on Elementary Number Theory and Essential Numerical Algorithms

· Walter de Gruyter GmbH & Co KG
Электрондук китеп
502
Барактар
Куралдар

Учкай маалымат

This text offers a comprehensive introduction to cryptology, based on elementary number theory and essential numerical algorithms. It covers core mathematical topics —number theory, algebraic structures, matrices, determinants, and polynomials —through their use in cryptography. Symmetric-key cryptography and practical techniques are introduced, followed by algorithms and computational complexity. Public-key systems based on integer factorization and discrete logarithms, as well as hash functions and digital signatures, are discussed. Advanced topics include elliptic curve and multivariate polynomial cryptography, primality testing, and integer factorization are also explored. The book is self-contained, with all necessary proofs, theory, and tools to analyze cryptographic security and attacks.
This text offers a comprehensive introduction to cryptology, based on elementary number theory and essential numerical algorithms. It covers core mathematical topics —number theory, algebraic structures, matrices, determinants, and polynomials —through their use in cryptography. Symmetric-key cry...

Дагы башкалар

Автор жөнүндө

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.

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), Fra...

Бул электрондук китепти баалаңыз

Оюңуз менен бөлүшүп коюңуз.

Окуу маалыматы

Смартфондор жана планшеттер
Android жана iPad/iPhone үчүн Google Play Китептер колдонмосун орнотуңуз. Ал автоматтык түрдө аккаунтуңуз менен шайкештелип, кайда болбоңуз, онлайнда же оффлайнда окуу мүмкүнчүлүгүн берет.
Ноутбуктар жана компьютерлер
Google Play'ден сатылып алынган аудиокитептерди компьютериңиздин веб браузеринен уга аласыз.
eReaders жана башка түзмөктөр
Kobo eReaders сыяктуу электрондук сыя түзмөктөрүнөн окуу үчүн, файлды жүктөп алып, аны түзмөгүңүзгө өткөрүшүңүз керек. Файлдарды колдоого алынган eReaders'ке өткөрүү үчүн Жардам борборунун нускамаларын аткарыңыз.