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Books on the topic 'Planar vector field'

Author: Grafiati
Published: 4 June 2021
Last updated: 4 February 2022

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1

Françoise, Jean-Pierre, and Robert Roussarie, eds. Bifurcations of Planar Vector Fields. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0085387.

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2

Dumortier, Freddy, Robert Roussarie, Jorge Sotomayor, and Henryk Żaładek. Bifurcations of Planar Vector Fields. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0098353.

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3

Chow, Shui-Nee. Normal forms and bifurcation of planar vector fields. Cambridge: Cambridge University Press, 1994.

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4

Chow, Shui-Nee. Normal forms and bifurcation of planar vector fields. Cambridge: Cambridge University Press, 2008.

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5

Roussarie, Robert H. Bifurcation of planar vector fields and Hilbert's sixteenth problem. Basel: Birkhäuser, 1998.

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6

Bifurcations of planar vector fields and Hilbert's sixteenth problem. Basel: Birkhäuser, 1998.

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7

Roussarie, Robert. Bifurcation of Planar Vector Fields and Hilbert’s Sixteenth Problem. Basel: Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8798-4.

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8

Roussarie, Robert. Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem. Basel: Springer Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-0718-0.

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9

Desingularization of Nilpotent Singularities in Families of Planar Vector Fields. American Mathematical Society, 2002.

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10

Bifurcations Of Planar Vector Fields And Hilberts Sixteenth Problem. Springer Basel, 2013.

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11

Freddy, Dumortier, ed. Bifurcations of planar vector fields: Nilpotent singularities and Abelian integrals. Berlin: Springer-Verlag, 1991.

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12

1953-, Françoise J. P., and Roussarie Robert H, eds. Bifurcations of planar vector fields: Proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989. Berlin: Springer-Verlag, 1990.

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13

Roussarie, Robert H., F. Dumortier, J. Sotomayor, and H. Zoladek. Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals (Lecture Notes in Mathematics). Springer, 1991.

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14

Roussarie, Robert H. Bifurcation of Planar Vector Fields and Hilbert's Sixteenth Problem (Progress in Mathematics (Boston, Mass.), Vol. 164.). Birkhauser, 1999.

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15

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Relativistic Wave Equations. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0006.

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Relativistically covariant wave equations for scalar, spinor, and vector fields. Plane wave solutions and Green’s functions. The Klein–Gordon equation. The Dirac equation and the Clifford algebra of γ‎ matrices. Symmetries and conserved currents. Hamiltonian and Lagrangian formulations. Wave equations for spin-1 fields.
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16

Francoise, J. P. Bifurcations of Planar Vector Fields: Proceedings of a Meeting Held in Luminy, France, Sept. 18-22, 1989 (Lecture Notes in Mathematics, Vol 1455). Springer, 1991.

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17

Adams, Charles S., and Ifan G. Hughes. Optics f2f. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786788.001.0001.

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This book is primarily intended to be used in optics teaching from undergraduate to graduate level. It is assumed that an elementary course on optics has previously been studied, but all the key concepts of wave optics and light propagation are introduced where needed, and illustrated graphically. A recurring theme is that simple building blocks such as plane and spherical waves can be summed to construct useful solutions. Fourier methods and the angular-spectrum approach are used extensively, especially to provide a unified approach to Fraunhofer and Fresnel diffraction. Particular attention is paid to analysing topics in contemporary optics—propagation, dispersion, laser beams and waveguides, apodization, tightly focused vector fields, unconventional polarization states, and light–matter interactions. Throughout the text the principles are applied through worked examples and the book is copiously illustrated with more than 240 figures. The 200 end-of-chapter exercises offer further opportunities for testing the reader’s understanding.
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