scientific article; zbMATH DE number 3520681

Publication date: 1976

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions (26-01) Nonstandard analysis (26E35) Nonstandard models (03H99)

Related Items (55)

Existence and regularity of shock-effected solitons for nonlinear problems in electro-cardiac-physiology ⋮ Infinitesimals from Leibniz to Robinson. Time to bring them back to school ⋮ Nonstandard conditions for the global Markov property for lattice fields ⋮ On nonstandard models in higher order logic ⋮ Non-standard analysis revisited: an easy axiomatic presentation oriented towards numerical applications ⋮ Great Expectations ⋮ An alternative construction of Conway's ordered field No ⋮ Nonstandard Analysis, Infinitesimals, and the History of Calculus ⋮ Errata to ``An alternative construction of Conway's ordered field No. ⋮ Pre‐Robinson approach to the theory of infinitesimals ⋮ Generalized solutions in PDEs and the Burgers' equation ⋮ The Caccioppoli ultrafunctions ⋮ Iterated AGM revision based on probability revision ⋮ Set theory and the analyst ⋮ EUCLIDEAN NUMBERS AND NUMEROSITIES ⋮ A remark on pseudo proof systems and hard instances of the satisfiability problem ⋮ A basis for AGM revision in Bayesian probability revision ⋮ Generalized functions beyond distributions ⋮ The notion of infinite measuring number and its relevance in the intuition of infinity ⋮ Non-Archimedean probability ⋮ A new approach to the $Z$-transform through infinite computation ⋮ Ultrafunctions and applications ⋮ Alpha-theory: An elementary axiomatics for nonstandard analysis ⋮ A comparison of deformations and geometric study of varieties of associative algebras. ⋮ The Absolute Arithmetic Continuum and the Unification Of all Numbers Great and Small ⋮ Egyptian Fractions, Nonstandard Extensions of $$\mathbb R$$, and Some Diophantine Equations Without Many Solutions ⋮ Leibniz's infinitesimals: their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond ⋮ Banishing Ultrafilters from Our Consciousness ⋮ A formalism of multidimensional living systems based on nonstandard analysis ⋮ What does a conditional knowledge base entail? ⋮ Reflection principles for synthetic theories of smooth manifolds ⋮ Function spaces, cartesian closedness and nonstandard methods ⋮ Bolzano's theory of measurable numbers 1830--1989 ⋮ Pseudo-superstructures as nonstandard universes ⋮ On the existence of solutions to stochastic differential equations on Loeb spaces ⋮ Incommensurables and incomparables: On the conceptual status and the philosophical use of hyperreal numbers ⋮ Expected qualitative utility maximization ⋮ Proofs and retributions, or: why Sarah can't take limits ⋮ A purely algebraic characterization of the hyperreal numbers ⋮ A topological interpretation of three Leibnizian principles within the functional extensions ⋮ Unnamed Item ⋮ Extension del concepto de energia informacional de Onicescu basado en el analisis no estandar ⋮ Cauchy and the infinitely small ⋮ Exaggeration ⋮ Generalized solutions of variational problems and applications ⋮ A simple algebraic characterization of nonstandard extensions ⋮ Belief functions and default reasoning ⋮ Non-standard analysis in dynamic geometry ⋮ Bounds in the theory of polynomial rings over fields. A nonstandard approach ⋮ Gromov's theorem on groups of polynomial growth and elementary logic ⋮ Loeb-measurable solutions to *finite games ⋮ Combinatorial principles in nonstandard analysis ⋮ An improved setting for generalized functions: fine ultrafunctions ⋮ ON THE FOUNDATIONS OF MATHEMATICAL ECONOMICS ⋮ Back to classics: teaching limits through infinitesimals

This page was built for publication: