Titlebook: Ideals, Varieties, and Algorithms; An Introduction to C David Cox,John Little,Donal O’Shea Textbook 20073rd edition Springer-Verlag New Yor

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Ideals, Varieties, and Algorithms978-0-387-35651-8Series ISSN 0172-6056 Series E-ISSN 2197-5604

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https://doi.org/10.1007/978-0-387-35651-8Maple; Mathematica; addition; algebra; commutative property; computer algebra system; proof

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,The Algebra–Geometry Dictionary,m which identifies exactly which ideals correspond to varieties. This will allow us to construct a “dictionary” between geometry and algebra, whereby any statement about varieties can be translated into a statement about ideals (and conversely). We will pursue this theme in §§3 and 4, where we will

Iniquitous

Obvious

Pelago

PSA-velocity

Homocystinuria

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David Cox,John Little,Donal O’Sheas, namely chains of coupled oscillators and coupled map lattices (CML). After introducing the main definitions and theorems and presenting the most widely used computational algorithm (due to Benettin et al.) in Section 1, I give an account, in Section 2, of the existence of a Lyapunov spectral dens