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Geometry, Algebra and Applications: From Mechanics to Cryptography

  • Marco Castrillón López
  • Luis Hernández Encinas
  • Pedro Martínez Gadea
  • Mª Eugenia Rosado María

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 161)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Wafaa Batat, P. M. Gadea, José A. Oubiña
    Pages 1-12
  3. Aurel Bejancu
    Pages 13-24
  4. Miguel Brozos-Vázquez, Esteban Calviño-Louzao, Eduardo García-Río, Ramón Vázquez-Lorenzo
    Pages 25-35
  5. Giovanni Calvaruso
    Pages 37-48
  6. Marco Castrillón López, Pedro L. García
    Pages 49-63
  7. Marco Castrillón López, Tudor S. Ratiu
    Pages 65-78
  8. Raúl Durán Díaz, Luis Hernández Encinas
    Pages 79-90
  9. Amparo Fúster-Sabater, Fausto Montoya Vitini
    Pages 107-119
  10. Víctor Gayoso Martínez, Luis Hernández Encinas, Agustín Martín Muñoz
    Pages 121-133
  11. Rosalía Hernández-Amador, Juan Monterde, José Vallejo
    Pages 135-146
  12. Agustín Marcelo, Félix Marcelo, César Rodríguez
    Pages 147-156
  13. Ángel Martín del Rey, Gerardo Rodríguez Sánchez
    Pages 157-169

About this book

Introduction

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.

Keywords

Mathematical physics Differential geometry Data encryption Data structures Cryptology Information theory

Editors and affiliations

  • Marco Castrillón López
    • 1
  • Luis Hernández Encinas
    • 2
  • Pedro Martínez Gadea
    • 3
  • Mª Eugenia Rosado María
    • 4
  1. 1.Departamento de Geometría y TopologíaUniversidad Complutense de MadridMadridSpain
  2. 2.Physical and Information TechnologySpanish National Research Council (CSIC)MadridSpain
  3. 3.Institute of Fundamental PhysicsSpanish National Research Council (CSIC)MadridSpain
  4. 4.Departamento de Matemática AplicadaUniversidad Politécnica de MadridMadridSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-32085-4
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-32084-7
  • Online ISBN 978-3-319-32085-4
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • Buy this book on publisher's site