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Geometry, algebra and applicationsfr...

Castrillon Lopez, Marco.

Geometry, algebra and applicationsfrom mechanics to cryptography /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometry, algebra and applicationsedited by Marco Castrillon Lopez ... [et al.].
其他題名:	from mechanics to cryptography /
其他作者:	Castrillon Lopez, Marco.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xii, 198 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematics.
電子資源:	https://doi.org/10.1007/978-3-319-32085-4
ISBN:	9783319320854$q(electronic bk.)

Geometry, algebra and applicationsfrom mechanics to cryptography /
Geometry, algebra and applicationsfrom mechanics to cryptography /[electronic resource] :edited by Marco Castrillon Lopez ... [et al.]. - Cham :Springer International Publishing :2016. - xii, 198 p. :ill., digital ;24 cm. - Springer proceedings in mathematics & statistics,v.1612194-1009 ;. - Springer proceedings in mathematics & statistics ;v.19..

1 W. Batat, P. M. Gadea, J. A. Oubina, A survey on homogeneous structures on the classical hyperbolic spaces -- 2 A. Bejancu, On the (1 + 3) threading of spacetime -- 3 M. Brozos-Vazquez, E. Calvino-Louzao, E. Garcia-Rio, R. Vazquez-Lorenzo, Local structure of self-dual gradient Yamabe solitons -- 4 G. Calvaruso, The prescribed curvature problem in low dimension -- 5 M. Castrillon Lopez, P. L. Garcia, Euler-Poincare reduction by a subgroup of symmetries as an optimal control problem -- 6 M. Castrillon Lopez, T. S. Ratiu, Morse families and Lagrangian submanifolds -- 7 R. Duran Diaz, L. Hernandez Encinas, Special primes: properties and applications -- 8 F. Etayo, Rotation Minimizing vector fields and frames in Riemannian manifolds -- 9 R. Ferreiro Perez, Local anomaly cancellation and equivariant cohomology of jet bundles -- 10 A. Fuster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for stream ciphers -- 11 V. Gayoso Martinez, L. Hernandez Encinas, A. Martin Munoz, Implementation of cryptographic algorithms for elliptic curves -- 12 R. Hernandez-Amador, J. Monterde, J. Vallejo, Supermanifolds, symplectic geometry and curvature -- 13 A. Marcelo, F. Marcelo, C. Rodriguez, Prime submodules and symmetric algebras -- 14 A. Martin del Rey, G. Rodriguez Sanchez, Application to cybersecurity of the stability theory of the systems of ordinary differential equations -- 15 I. V. Mykytyuk, On the non-triviality of the eight-form T4(w) on manifolds with a Spin(9)-structure -- 16 A. Peinado, Flaws in the application of Number Theory in Key Distribution Schemes for Multicast Networks -- 17 L. Pozo, E. Rosado, Einstein-Hilbert Lagrangian induced on the linear frame bundle.

This volume collects contributions written by different experts in honor of Prof. Jaime Munoz Masque. 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.

ISBN: 9783319320854$q(electronic bk.)

Standard No.: 10.1007/978-3-319-32085-4doiSubjects--Topical Terms:

184409
Mathematics.

LC Class. No.: QA39.3

Dewey Class. No.: 510

Geometry, algebra and applicationsfrom mechanics to cryptography /
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245 0 0 $a Geometry, algebra and applications $h [electronic resource] : $b from mechanics to cryptography / $c edited by Marco Castrillon Lopez ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xii, 198 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer proceedings in mathematics & statistics, $x 2194-1009 ; $v v.161
505 0 $a 1 W. Batat, P. M. Gadea, J. A. Oubina, A survey on homogeneous structures on the classical hyperbolic spaces -- 2 A. Bejancu, On the (1 + 3) threading of spacetime -- 3 M. Brozos-Vazquez, E. Calvino-Louzao, E. Garcia-Rio, R. Vazquez-Lorenzo, Local structure of self-dual gradient Yamabe solitons -- 4 G. Calvaruso, The prescribed curvature problem in low dimension -- 5 M. Castrillon Lopez, P. L. Garcia, Euler-Poincare reduction by a subgroup of symmetries as an optimal control problem -- 6 M. Castrillon Lopez, T. S. Ratiu, Morse families and Lagrangian submanifolds -- 7 R. Duran Diaz, L. Hernandez Encinas, Special primes: properties and applications -- 8 F. Etayo, Rotation Minimizing vector fields and frames in Riemannian manifolds -- 9 R. Ferreiro Perez, Local anomaly cancellation and equivariant cohomology of jet bundles -- 10 A. Fuster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for stream ciphers -- 11 V. Gayoso Martinez, L. Hernandez Encinas, A. Martin Munoz, Implementation of cryptographic algorithms for elliptic curves -- 12 R. Hernandez-Amador, J. Monterde, J. Vallejo, Supermanifolds, symplectic geometry and curvature -- 13 A. Marcelo, F. Marcelo, C. Rodriguez, Prime submodules and symmetric algebras -- 14 A. Martin del Rey, G. Rodriguez Sanchez, Application to cybersecurity of the stability theory of the systems of ordinary differential equations -- 15 I. V. Mykytyuk, On the non-triviality of the eight-form T4(w) on manifolds with a Spin(9)-structure -- 16 A. Peinado, Flaws in the application of Number Theory in Key Distribution Schemes for Multicast Networks -- 17 L. Pozo, E. Rosado, Einstein-Hilbert Lagrangian induced on the linear frame bundle.
520 $a This volume collects contributions written by different experts in honor of Prof. Jaime Munoz Masque. 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.
650 0 $a Mathematics. $3 184409
650 1 4 $a Mathematical Physics. $3 522725
650 2 4 $a Differential Geometry. $3 273785
650 2 4 $a Cryptology. $3 825728
650 2 4 $a Data Structures. $3 273992
650 2 4 $a Coding and Information Theory. $3 273763
700 1 $a Castrillon Lopez, Marco. $3 828585
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a Springer proceedings in mathematics & statistics ; $v v.19. $3 569116
856 4 0 $u https://doi.org/10.1007/978-3-319-32085-4
950 $a Mathematics and Statistics (Springer-11649)