Mathematics and its Applications in New Computer Systems

This collection of research papers explores modern mathematical challenges and solutions, particularly in cryptography and data analysis, as presented at the MANCS-2021 conference. Mathematics and its Applications in New Computer Systems offers valuable insights into these fields.

The book Mathematics and its Applications in New Computer Systems is a compilation of the finest papers presented at the International Conference on Mathematics and its Applications in New Computer Systems (MANCS-2021) in Russia. It offers a comprehensive overview of contemporary mathematical challenges and their solutions, particularly in the realms of cryptography, data analysis, and modular computing. The research included within these pages showcases innovative approaches to numerical methods, optimization problems, and function approximation, highlighting both theoretical and practical implications in scientific computing.

In the domain of cryptography, Mathematics and its Applications in New Computer Systems delves into various schemes such as secret sharing, public and private key systems, and modular arithmetic. It explores advanced topics including elliptic curve point addition, the Hasse theorem, homomorphic encryption, and the intricacies of learning with error. These studies not only enhance the understanding of cryptographic methods but also present modifications to established systems like RSA, contributing significantly to the field of information security.

Additionally, the book addresses pressing issues in data analysis and modular computing, featuring advancements in mathematical statistics, machine learning, deep learning, and neural networks. It also sheds light on fundamental problems in mathematics education, making it a valuable resource for professionals and academics specializing in cryptography, computer technology, and mathematical education.