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An Introduction to Geometric Algebra and Conics

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Linear Algebra for Computational Sciences and Engineering
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Abstract

This chapter introduces the conics and characterizes them from an algebraic perspective. While in depth geometrical aspects of the conics lie outside the scopes of this chapter, this chapter is an opportunity to revisit concepts studied in other chapters such as matrix and determinant and assign a new geometric characterization to them.

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References

  1. J. P. Ballantine and A. R. Jerbert, “Distance from a line, or plane, to a point,” The American Mathematical Monthly, vol. 59, no. 4, pp. 242–243, 1952.

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  2. D. Riddle, Analytic geometry. Wadsworth Pub. Co., 1982.

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  3. H. S. M. Coxeter, Projective Geometry. Springer.

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Cite this chapter

Neri, F. (2019). An Introduction to Geometric Algebra and Conics. In: Linear Algebra for Computational Sciences and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-21321-3_6

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  • DOI: https://doi.org/10.1007/978-3-030-21321-3_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-21320-6

  • Online ISBN: 978-3-030-21321-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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