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This volume collects contributions written by different experts in honor of Prof. Jaime Muñoz Masqué. It covers a wide variety of research topics, from differential geometry to algebra, but particularly focuses on the geometric formulation of variational calculus; geometric mechanics and field theories; symmetries and conservation laws of differential equations, and pseudo-Riemannian geometry of homogeneous spaces. It also discusses algebraic applications to cryptography and number theory. It offers state-of-the-art contributions in the context of current research trends. The final result is a challenging panoramic view of connecting problems that initially appear distant.

Coding theory. --- Mathematics. --- Math --- Science --- Global differential geometry. --- Data encryption (Computer science). --- Data structures (Computer scienc. --- Mathematical Physics. --- Differential Geometry. --- Cryptology. --- Data Structures. --- Coding and Information Theory. --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Cryptography --- Geometry, Differential --- Mathematical physics. --- Differential geometry. --- Data structures (Computer science). --- Information theory. --- Communication theory --- Communication --- Cybernetics --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Differential geometry --- Physical mathematics --- Physics --- Mathematics