Tables of the Bessel functions, Y₀(x), Y₁(x), K₀(x), K₁(x), 0 <̳ x <̳ 1.

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A class of algorithms for automatic evaluation of certain elementary functions in a binary computer.

"Supported in part...under Grant No. US NSF GJ812 and Grant No. US NSF GJ813."

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Each unit comprises Student's ed. and Teachers' ed., interleaved.

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"Published as a contribution of the Waterman institute for scientific research, Indiana university."

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The differential calculus.--Coordinate or analytical geometry.--Functions with singular properties.--The integral calculus.--Infinite series and their uses.--How to solve numerical equations.--How to solve differential equations.--Fourier's theorum.--Probability and the theory of errors.--The calculus of variations.--Determinants.--Collection of formulae for references.--Reference tables.

The Princeton colloquium; lectures on mathematics, delivered September 15 to 17, 1909, before members of the American Mathematical Society in connection with the summer meeting held at Princeton University, Princeton, N. J

Mode of access: Internet.

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Mode of access: Internet.

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Articles reprinted from Encyclopaedia metropolitana.

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State goals for learning and sample learning objectives.

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I. The defintion of solutions of linear partial differnetial equations by boundary conditions.--II. Contemporary researches in differential equations, integral equations, and integro-differential equations.--III. Analysis situs in connection with correspondences and differential equations.--IV. Elementary solutions of partial differential equations and Green's functions.

The Princeton Colloquium; lectures on mathematics, delivered September 15 to 17, 1909, before members of the American Mathematical Society in connection with the summer meeting held at Princeton University, Princeton, N.J.

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Pre-Service Teachers’ Mathematics Language and Reflection in the Context of an Early Childhood Mathematics Methods Course

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Utility functions on locally connected spaces

We investigate the role of local connectedness in utility theory and prove that any continuous total preorder on a locally connected separable space is continuously representable. This is a new simple criterion for the representability of continuous preferences, and is not a consequence of the standard theorems in utility theory that use conditions such as connectedness and separability, second countability, or path-connectedness. Finally we give applications to problems involving the existence of value functions in population ethics and to the problem of proving the existence of continuous utility functions in general equilibrium models with land as one of the commodities. (C) 2003 Elsevier B.V. All rights reserved.