Relevant bibliographies by topics / Symmetry (Mathematics)

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Symmetry (Mathematics)'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Symmetry (Mathematics)"

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Nityananda, Rajaram. "Symmetry and mathematics." Resonance 20, no. 3 (March 2015): 264–76. http://dx.doi.org/10.1007/s12045-015-0182-7.

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Hilton, Peter, and Jean Pedersen. "Symmetry in mathematics." Computers & Mathematics with Applications 12, no. 1-2 (January 1986): 315–28. http://dx.doi.org/10.1016/0898-1221(86)90157-4.

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Varadarajan, V. S. "Symmetry in mathematics." Computers & Mathematics with Applications 24, no. 3 (August 1992): 37–44. http://dx.doi.org/10.1016/0898-1221(92)90212-z.

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Wang, Yifeng. "Symmetry and symmetric transformations in mathematical imaging." Theoretical and Natural Science 31, no. 1 (April 2, 2024): 320–23. http://dx.doi.org/10.54254/2753-8818/31/20241037.

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The article delves into the intricate relationship between symmetry and mathematical imaging, spanning various mathematical disciplines. Symmetry, a concept deeply ingrained in mathematics, manifests in art, nature, and physics, providing a powerful tool for understanding complex structures. The paper explores three types of symmetriesreflection, rotational, and translationalexemplified through concrete mathematical expressions. Evariste Galoiss Group Theory emerges as a pivotal tool, providing a formal framework to understand and classify symmetric operations, particularly in the roots of polynomial equations. Galois theory, a cornerstone of modern algebra, connects symmetries, permutations, and solvability of equations. Group theory finds practical applications in cryptography, physics, and coding theory. Sophus Lie extends group theory to continuous spaces with Lie Group Theory, offering a powerful framework for studying continuous symmetries. Lie groups find applications in robotics and control theory, streamlining the representation of transformations. Benoit Mandelbrots fractal geometry, introduced in the late 20th century, provides a mathematical framework for understanding complex, self-similar shapes. The applications of fractal geometry range from computer graphics to financial modeling. Symmetrys practical applications extend to data visualization and cryptography. The article concludes by emphasizing symmetrys foundational role in physics, chemistry, computer graphics, and beyond. A deeper understanding of symmetry not only enriches perspectives across scientific disciplines but also fosters interdisciplinary collaborations, unveiling hidden order and structure in the natural and designed world. The exploration of symmetry promises ongoing discoveries at the intersection of mathematics and diverse fields of study.
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Miller, Catherine M. "Kaleidoscopes and Mathematics: An Elegant Connection." Mathematics Teaching in the Middle School 22, no. 9 (May 2017): 559–66. http://dx.doi.org/10.5951/mathteacmiddscho.22.9.0559.

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Symmetry is used to create mathematically inspiring images in three-mirror kaleidoscopes. A project outlines how students can build their own kaleidoscopes having mathematically exact symmetric images.
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Brasili, Simone. "Symmetry in Mathematics Education." Symmetry: Culture and Science 34, no. 3 (2023): 213–16. http://dx.doi.org/10.26830/symmetry_2023_3_213.

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VAN SCHAFTINGEN, JEAN. "SYMMETRIZATION AND MINIMAX PRINCIPLES." Communications in Contemporary Mathematics 07, no. 04 (August 2005): 463–81. http://dx.doi.org/10.1142/s0219199705001817.

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We develop a method to prove that some critical levels for functionals invariant by symmetry obtained by minimax methods without any symmetry constraint are attained by symmetric critical points. It is used to investigate the symmetry properties of solutions of elliptic partial differential equations with Dirichlet or Neumann boundary conditions. It is also an alternative to concentration-compactness for some symmetric elliptic problems.
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Burby, J. W., N. Kallinikos, and R. S. MacKay. "Some mathematics for quasi-symmetry." Journal of Mathematical Physics 61, no. 9 (September 1, 2020): 093503. http://dx.doi.org/10.1063/1.5142487.

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Radovic, Ljiljana, and Slavik Jablan. "Visual communication through visual mathematics." Filomat 23, no. 2 (2009): 56–67. http://dx.doi.org/10.2298/fil0902056r.

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In this paper we present some possibilities how different areas of visual mathematics (symmetry in art and science, isometric symmetry groups, similarity symmetry, modularity, antisymmetry, tessellations, theory of proportions, theory of visual perception, perspective, anamorphoses, visual illusions, ethnomathematics, mirror curves, optiles, fractal structures) can be used as a tool of visual communication. The paper also contains (in parts) a description of the course 'Visual Mathematics and Design' organized at the Faculty of Information Technologies (Belgrade).
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Brasili, Simone, and Johan Gielis. "Interdisciplinary insights and inspirations of symmetry." Symmetry: Culture and Science 35, no. 2 (2024): 117–18. http://dx.doi.org/10.26830/symmetry_2024_2_117.

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The second issue of Volume 35 of the Symmetry: Culture and Science journal arrives shortly before the Symmetry Festival 2024, marking its debut in Italy, in the historic city of Pisa, from July 17 to July 20. This event will be a tribute to the founder of the International Symmetry Association and a friend to many of our readers, György Darvas, who passed away in late 2023. In Volume 35, Number 2, we celebrate Darvas’s ongoing legacy of symmetry as a unifying principle across diverse disciplines. This issue presents a diverse range of interdisciplinary research in mathematics, science, art, education, and architecture, emphasizing the interconnectedness inherent in symmetry. We hope these contributions inspire further exploration and appreciation of symmetry’s multifaceted nature.
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Dissertations / Theses on the topic "Symmetry (Mathematics)"

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Breda, d'Azevedo Antonio Joao. "Hypermaps and symmetry." Thesis, University of Southampton, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.303114.

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Lin, Francesco Ph D. Massachusetts Institute of Technology. "Monopoles and Pin(2)-symmetry." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/104585.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 321-326).
In this thesis we generalize the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singularities. Focusing then on the special case of a three-manifold equipped equipped with a spinc structure which is isomorphic to its conjugate, we define the counterpart in this context of Manolescu's recent Pin(2)-equivariant Seiberg-Witten-Floer homology. In particular, we provide an alternative approach to his disproof of the celebrated Triangulation conjecture. Furthermore, we discuss the analogue in this setting of the surgery exact triangle, and perform some sample computations.
by Francesco Lin.
Ph. D.
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Castro, Sofia Balbina Santos Dias de. "Mode interactions with symmetry." Thesis, University of Warwick, 1993. http://wrap.warwick.ac.uk/4041/.

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This thesis deals with steady-state mode interaction problems with symmetry. We prove several results concerning problems invariant under the action of an arbitrary compact Lie group Γ. These include the existence of mixed-mode solutions and secondary Hopf bifurcations. We also consider the unfolding of the equations characterizing such problems. Where appropriate, we distinguish the case when Γ acts trivially on one of the modes. We then apply the results to the problems of the (1,3)-, (1,5)- and (1,3,5)-mode interactions with spherical symmetry. We also consider the (3,5)- and the (1,3,5)-mode interaction problems with SO(3) symmetry.
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Holtom, Paul Andrew. "Affine-invariant symmetry sets." Thesis, University of Liverpool, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.367704.

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Rostami, M. "Symmetry types of convex polyhedra." Thesis, University of Southampton, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.375365.

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Nivens, Ryan Andrew. "Fonts and Symmetry." Digital Commons @ East Tennessee State University, 2013. https://dc.etsu.edu/etsu-works/227.

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Using fonts as a context, we will analyze symmetry of fi gures. Diff erent letters and numbers will be measured, and participants will describe items that possess vertical, horizontal, and rotational symmetry. Our discussion and activity will focus on the mathematics of fonts and the presence and absence of symmetry in their design.
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Nivens, Ryan Andrew. "Fonts and Symmetry." Digital Commons @ East Tennessee State University, 2014. https://dc.etsu.edu/etsu-works/224.

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Using fonts as a context, we will analyze symmetry of fi gures. Diff erent letters and numbers will be measured, and participants will describe items that possess vertical, horizontal, and rotational symmetry. Our discussion and activity will focus on the mathematics of fonts and the presence and absence of symmetry in their design.
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Rossi, Paolo. "Symplectic Topology, Mirror Symmetry and Integrable Systems." Doctoral thesis, SISSA, 2008. http://hdl.handle.net/11577/3288900.

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Using Sympelctic Field Theory as a computational tool, we compute Gromov-Witten theory of target curves using gluing formulas and quantum integrable systems. In the smooth case this leads to a relation of the results of Okounkov and Pandharipande with the quantum dispersionless KdV hierarchy, while in the orbifold case we prove triple mirror symmetry between GW theory of target P^1 orbifolds of positive Euler characteristic, singularity theory of a class of polynomials in three variables and extended affine Weyl groups of type ADE.
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Cao, Xiaodong 1972. "Ricci flow on 3-manifolds with symmetry." Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/8398.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002.
Includes bibliographical references (p. 51-53).
In this thesis, we proved that for a 3-manifold S2 x S1 with warped product metric, the isoperimetric ratio on the base manifold S2 has a low positive bound away from zero, if the scalar curvature on the 3-manifold is positive. We also obtained a monotonicity result under the condition that the length of the optimal curve for isoperimetric ratio shrinks to zero under Ricci flow. This result excludes the product of a cigar soliton [Sigma]² with R¹ as the dilation limit of the Ricci flow equation. We also obtained an inequality of the curvature ratio Rmin/Rmax on the dilation limit for compact 3-manifold with positive scalar curvature.
by Xiaodong Cao.
Ph.D.
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Lari-Lavassani, Ali. "Multiparameter bifurcation with symmetry via singularity theory /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487683049377079.

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Books on the topic "Symmetry (Mathematics)"

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Sautoy, Marcus Du. Symmetry. New York: HarperCollins, 2008.

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Peppas, Lynn. Symmetry. New York: Crabtree Pub., 2010.

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E, Moore Teresa, and Prassidis Stratos 1962-, eds. Geometry and symmetry. Hoboken, NJ: Wiley, 2010.

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Babbitt, Donald, Vyjayanthi Chari, and Rita Fioresi, eds. Symmetry in Mathematics and Physics. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/conm/490.

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A, Mitropolʹskiĭ I͡U. Nonlinear mechanics, groups and symmetry. Dordrecht: Kluwer Academic Publishers, 1995.

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Cabrera, Omer. Applications of symmetry in mathematics, physics & chemistry. Delhi: White Word Publications, 2012.

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Kinsey, L. Christine. Geometry and symmetry. Hoboken, NJ: Wiley, 2010.

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1940-, Baum Carl E., and Kritikos H. N, eds. Electromagnetic symmetry. Washington, D.C: Taylor & Francis, 1995.

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István, Hargittai. Symmetry: A unifying concept. Bolinas, Calif: Shelter Publications, 1994.

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István, Hargittai. Symmetry: A unifying concept. Bolinas,CA: Shelter Publications, 1994.

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Book chapters on the topic "Symmetry (Mathematics)"

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Liu, Xinyu. "Symmetry." In Mathematics in Programming, 57–130. Singapore: Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-2432-1_3.

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Hilton, Peter, Derek Holton, and Jean Pedersen. "Symmetry." In Undergraduate Texts in Mathematics, 235–69. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4757-3681-6_8.

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Bagai, Shobha, Amber Habib, and Geetha Venkataraman. "Symmetry." In Mathematics for Social Scientists, 229–94. London: Routledge India, 2024. http://dx.doi.org/10.4324/9781003495932-6.

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Fré, Pietro Giuseppe. "Symmetry and Mathematics." In A Conceptual History of Space and Symmetry, 9–31. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-98023-2_2.

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Gerstenhaber, Murray, Anthony Giaquinto, and Samuel D. Schack. "Quantum symmetry." In Lecture Notes in Mathematics, 9–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0101176.

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Rosen, Joseph. "The Mathematics of Symmetry: Group Theory." In Symmetry in Science, 5–37. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-2506-5_2.

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Nelson, Randolph. "Fearful Symmetry." In A Brief Journey in Discrete Mathematics, 39–61. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37861-5_4.

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Arlandi, Gian Franco. "Symmetry-Canon: Music and Mathematics, Painting and Graphicization “Perpetuum Mobile”." In Katachi ∪ Symmetry, 117–24. Tokyo: Springer Japan, 1996. http://dx.doi.org/10.1007/978-4-431-68407-7_11.

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Dedò, Maria. "Machines for Building Symmetry." In Mathematics and Art, 61–77. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04909-9_5.

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Park, Jin-Ho. "Plane Symmetry Groups." In Mathematics and the Built Environment, 19–34. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08946-6_2.

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Conference papers on the topic "Symmetry (Mathematics)"

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Bulanhagui, Ricie Dimatatac. "Primes and Symmetry." In 6th Annual International Conference on Computational Mathematics, Computational Geometry & Statistics (CMCGS 2017). Global Science & Technology Forum (GSTF), 2017. http://dx.doi.org/10.5176/2251-1911_cmcgs17.18.

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Cicogna, Giampaolo. "Symmetry properties and reduction procedures for ODE's." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756406.

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Brugnano, L., D. Trigiante, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Time Reversal Symmetry and Energy Drift in Conservative Systems." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790218.

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Torrisi, Mariano, Rita Tracinà, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Symmetry Methods for a Geophysical Mass Flow Model." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637879.

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Borisovich, Andrei, Hanna Treder, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Symmetry-Breaking Bifurcations for Free Elastic Shell of Biological Cluster." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790274.

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Bruzón, M. S., M. L. Gandarias, J. C. Camacho, and J. Ramírez. "Symmetry reductions for a generalized Dullin-Gottwald-Holm equation." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756410.

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Papanicolaou, N. C., C. I. Christov, and Michail D. Todorov. "On Beam-like Functions with Radial Symmetry." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: Proceedings of the 34th Conference on Applications of Mathematics in Engineering and Economics (AMEE '08). AIP, 2008. http://dx.doi.org/10.1063/1.3030779.

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Faustino, Nelson. "Symmetry preserving discretization schemes through hypercomplex variables." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5043648.

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Duller, Christine, and Dominik Vorhauer. "Comparison of four nonparametric tests of symmetry." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0026685.

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Mena, Filipe C., José Natário, Kerstin E. Kunze, Marc Mars, and Miguel Angel Vázquez-Mozo. "Matching stationary spacetimes in cylindrical symmetry." In PHYSICS AND MATHEMATICS OF GRAVITATION: Proceedings of the Spanish Relativity Meeting 2008. AIP, 2009. http://dx.doi.org/10.1063/1.3141320.

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