Springer Proceedings in Mathematics & Statistics

Geometry, Algebra and Applications: From Mechanics to Cryptography

Editors: Castrillón López, M., Hernández Encinas, L., Martínez Gadea, P., Rosado María, E. (Eds.)

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  • Offers a unique collection of contributions on different topics related to differential geometry and algebra
  • Encourages further exploration
  • Appeals to readers interested in the applications of geometry and algebra
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About this book

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.

About the authors

Prof. Marco Castrillón López read Mathematics and Physics in Madrid. He is currently Profesor Titular at the Universidad Complutense de Madrid, where he also received his Ph.D. in Mathematics. He was a postdoc at École Polytechnique Fédérale de Lausanne (Switzerland), and Faculty Visitor at Caltech (Pasadena, USA), PIMS (Vancouver, Canada), Imperial College (London, UK), TATA Institute (Mumbay, India) and PUC (Rio de Janeiro, Brazil). His research work mainly focuses on geometric variational calculus, gauge theories and Riemannian geometry with applications to relativity, classical field theories and other topics in theoretical physics. His has over 50 publications and books to his name.

Prof. Pedro M. Gadea taught at the Universities of Santiago de Compostela and Valladolid in Spain. He is now a scientific researcher at the Instituto de Física Fundamental, CSIC, Madrid, Spain. He has published almost seventy research papers on several topics of differential geometry and algebraic topology. He has also been the advisor for four Ph.D. theses. His current interests are Differential Geometry, more specifically in homogeneous spin Riemannian manifolds and Ricci-flat invariant Kähler structures.

L. Hernández Encinas graduated in Mathematics at the University of Salamanca (Spain) in 1980, and received his Ph.D. in Mathematics at the same university in 1992. He is a researcher at the Department of Information Processing and Cryptography (TIC) at the Institute of Physical and Information Technologies (ITEFI), Spanish National Research Council (CSIC) in Madrid. He has participated in more than 30 research projects. He is author of 9 books, 9 patents, more than 150 papers, and over 100 contributions to workshops and conferences. He has also supervised several doctoral theses. His current research interests include cryptography and cryptanalysis of public key cryptosystems, digital signature schemes, authentication and identification protocols, crypto-biometry, side channel attacks, and number theory problems.

M. Eugenia Rosado María graduated in Mathematics at the University Complutense de Madrid, and obtained her Ph.D. in Mathematics at the same university. She taught at the Universities Autónoma de Madrid, Spain and currently teaches at the Universidad Politécnica de Madrid. She has published around 20 papers on several topics in differential geometry. Her research interests are in geometrical variational calculus, geometric methods in differential equations, differential invariants and other topics in differential geometry.

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook 83,29 €
price for Spain (gross)
  • ISBN 978-3-319-32085-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-32084-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-81193-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Geometry, Algebra and Applications: From Mechanics to Cryptography
Editors
  • Marco Castrillón López
  • Luis Hernández Encinas
  • Pedro Martínez Gadea
  • Eugenia Rosado María
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
161
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-32085-4
DOI
10.1007/978-3-319-32085-4
Hardcover ISBN
978-3-319-32084-7
Softcover ISBN
978-3-319-81193-2
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XII, 198
Number of Illustrations
5 b/w illustrations
Topics