Lotzes Verhaltnis zu Leibniz.

Thesis (doctoral)--Friedrich-Alexanders-Universitat Erlangen.

Die erkenntnisstheorien bei leibniz und kant.

Thesis (doctoral)--

Der Briefwechsel von Gottfried Wilhelm Leibniz mit Mathematikern /

No more published.

Willensunfreiheit und Erziehungsmoglichkeit (Spinoza, Leibniz, Schopenhauer).

Thesis (doctoral)--Universitat Bern.

Uber die Bedeutung von Leibniz' "Nouveaux essais sur l'entendement humain" fur den Standpunkt Kants in der Dissertation "De mundi sensibilis atque intelligibilis forma et principiis" von 1770.

Thesis (doctoral)--Friedrich-Alexanders-Universitat Erlangen.

An introduction to the algebra of quantics,

Mode of access: Internet.

Algebra; an elementary text-book, for the higher classes of secondary schools and for colleges.

Mode of access: Internet.

Leibniz. Discourse on metaphysics;

Tr. of: Discours de metaphysique.

Leibniz's new essays concerning the human understanding : a critical exposition /

Mode of access: Internet.

Logic and Boolean algebra.

Includes bibliography.

A treatise on infinitesimal calculus, containing differential and integral calculus, calculus of variations, applications to algebra and geometry, and analytical mechanics.

Vol. 3 and 4 form the author's Treatise on analytical mechanics.

Conflicting obligations: Pufendorf, Leibniz and Barbeyrac on civil authority

Barbeyrac's republication of and commentary on Leibniz' attack on Pufendorf's natural-law doctrine is often seen as symptomatic of the failure of all three early moderns to solve a particular moral-philosophical problem: that of the relationship between civil authority and morality. Making use of the first English translation of Barbeyrac's work, this article departs from the usual view by arguing that here we are confronted by three conflicting constructions of civil obligation, arising not from the common intellectual terrain of moral philosophy, but from divergent religious and political cultures. If this approach makes the three constructions less susceptible to theoretical reconciliation, then it opens them to a more revealing historical investigation, in terms of the particular religious and political circumstances in which they arose, and which they were designed to address. The result is that these early modern struggles over the nature of civil obligation confront us again as unfinished historical business.

Gauge Poisson representations for birth/death master equations

Poisson representation techniques provide a powerful method for mapping master equations for birth/death processes -- found in many fields of physics, chemistry and biology -- into more tractable stochastic differential equations. However, the usual expansion is not exact in the presence of boundary terms, which commonly occur when the differential equations are nonlinear. In this paper, a gauge Poisson technique is introduced that eliminates boundary terms, to give an exact representation as a weighted rate equation with stochastic terms. These methods provide novel techniques for calculating and understanding the effects of number correlations in systems that have a master equation description. As examples, correlations induced by strong mutations in genetics, and the astrophysical problem of molecule formation on microscopic grain surfaces are analyzed. Exact analytic results are obtained that can be compared with numerical simulations, demonstrating that stochastic gauge techniques can give exact results where standard Poisson expansions are not able to.

Central elements of the elliptic Zn monodromy matrix algebra at roots of unity

The central elements of the algebra of monodromy matrices associated with the Z(n) R-matrix are studied. When the crossing parameter w takes a special rational value w = n/N, where N and n are positive coprime integers, the center is substantially larger than that in the generic case for which the quantum determinant provides the center. In the trigonometric limit, the situation corresponds to the quantum group at roots of unity. This is a higher rank generalization of the recent results by Belavin and Jimbo. (c) 2004 Elsevier B.V. All rights reserved.