
Cryptography
This page contains resources about Cryptography and Number Theory in general.
Subfields and Concepts[edit]
- Modular Arithmetic
- Lowest Common Multiple (LCM)
- Greatest Common Divisor (GCD)
- Prime Factorization
- Euclidean Algorithm
- Extended Euclidean Algorithm
- Chinese Remainder Theorem
- Diophantine Equations
- Euler's Theorem
- Fermat's Little Theorem
- Wilson's Theorem
- Fermat's Method of Infinite Descent
- Cryptography Algorithms
- Asymmetric (public key) Encryption
- Symmetric (secret key) Encryption
- Cryptographic Hash Functions
- Cryptology
- RSA Algorithm
Online courses[edit]
Video Lectures[edit]
Lecture Notes[edit]
- Secrets and Promises: An Introduction to Digital Security
- Modern Cryptology
- Theory of numbers by Abhinav Kumar
Books[edit]
- Zhou, X. (2017). Number Theory - Modular Arithmetic: Math for Gifted Students. CreateSpace.
- Αντωνιάδης, Α. Γ., & Αριστείδης, Κ. (2015). Θεωρία Αριθµών και Εφαρµογές. Σύνδεσµος Ελληνικών Ακαδηµαϊκών Βιβλιοθηκών. [in Greek] (link)
- Burton, D. M. (2010). Elementary Number Theory. 7th Ed. McGraw-Hill Education.
- Hong-Bing, Y. (2009). Problems of Number Theory in Mathematical Competitions (Volume 2). World Scientific.
- Andreescu, T., & Andrica, D. (2009). Number Theory: Structures, Examples, and Problems. Birkhäuser.
- Crawford, M. (2008). Introduction to Number Theory. 2nd Ed. AoPS Incorporated.
- Andreescu, T., Andrica, D., & Feng, Z. (2007). 104 number theory problems: From the training of the USA IMO team. Birkhäuser.
- Stopple, J. (2003). A primer of analytic number theory: from Pythagoras to Riemann. Cambridge University Press.
- Adler, A., & Coury, J. E. (1995). Theory of Numbers: A Text and Source Book of Problems. Jones & Bartlett Pub.
- Niven, I., Zuckerman, H. S., & Montgomery, H. L. (1991). An Introduction to the Theory of Numbers. 5th Ed. Wiley.
- Hardy, G. H., & Wright, E. M. (1980). An Introduction to the Theory of Numbers. Oxford University Press.
- Sierpinski, W. (1970). 250 problems in elementary number theory. Elsevier.
Software[edit]
See also[edit]
Other Resources[edit]
- Computer Security and Cryptography - Google Scholar Metrics (Top Publications)
- Discrete Mathematics - Google Scholar Metrics (Top Publications)
- Number Theory - AoPS
- Number Theory Problems - AoPS
- Number Theory - Brilliant
- Problems in Elementary Number Theory
- 250 Problems in Elementary Number Theory - book
- Number Theory (AoPS) - Notes