Nonstandard Analysis.: A Practical Guide with Applications. |
Contents
Derivatives and integrals | 7 |
Some notions of topology in | 15 |
From Q to | 21 |
Copyright | |
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Common terms and phrases
approximation assume asymptotic behaviour axiom axiom of choice boundary layer bounded canard classical compact compute consider continuous dard defined deformation Edited enlargement equivalent exists extension external sets filter finitary finite element free variables function geodesics geometric halo hence idealizable infinitely close infinitely large infinitesimal instance integral curve internal intuitive isomorphic jumps lemma lesson Lie algebra linear mapping f mathematics metric space neighbourhood Non-Standard Analysis open sets orbit permanence principle phase plane polynomial precise Proceedings Proof of theorem proposition prove recall relation resp S-continuous satisfies sequence shadow singular perturbation singular point solution stan standard elements standard mapping standard point statement t₁ theory thickeness order tion topology totally ordered transfer transition layers ultrafilter unique values vector field w₂ Weyl basis x₁