This page contains resources about Cryptography and Number Theory in general.
Subfields and Concepts[]
- Modular Arithmetic
- Lowest Common Multiple (LCM)
- Greatest Common Divisor (GCD)
- Prime factorization
- Euclidean Algorithm
- Chinese Remainder Theorem
- Diophantine Equations
- Euler's Theorem
- Fermat's Little Theorem
- Wilson's Theorem
- Fermat's Method of Infinite Descent
- Cryptology
- RSA Algorithm
Online courses[]
Video Lectures[]
Lecture Notes[]
- Secrets and Promises: An Introduction to Digital Security
- Modern Cryptology
- Theory of numbers by Abhinav Kumar
Books[]
- 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)
- 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.
- Burton, D. M. (2001). Elementary Number Theory. 5th Ed. McGraw-Hill Education.
- 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.
Software[]
See also[]
Other Resources[]
- 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