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Traces the development of pure mathematics during the long nineteenth century in Britain, with extensive references and primary sources.
The basic concepts of a method for a general integral of the Field Equations of the Theory of General Relativity are outlined. An extended and revised version is currently in preparation, and it will be uploaded as soon as ready for publication.
More than 850 individuals partly forgotten by name, but sometimes found in historical writings, together with many well known or recently deceased persons are presented in terms of bio-data, short career highlights, and main advances made to the profession with a short biography of the main writings. If available, a portrait is also included.
This finite study examines how exactitude has come to occupy such a prominent place in Western culture. Beginning with the late 18th century and continuing into the 20th, the essays here support the view that centralizing states and large-scale commercial enterprises have long been the major promoters of numerical precision. Photos & illus.
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Obituary notices of deceased fellows were included in v. 7-64; v. 75 is made up of "obituaries of deceased fellows, chiefly for the period 1898-1904, with a general index to previous obituary notices"; the notices have been continued in subsequent volumes as follows: v. 78a, 79b, 80a-b- 86a-b, 87a 88a-b.
This is an introduction to recent developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses. The author recounts the story of the search for and discovery of a proof of a formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While apparent that the conjecture must be true, the proof was elusive. Researchers became drawn to this problem, making connections to aspects of invariant theory, to symmetric functions, to hypergeometric and basic hypergeometric series, and, finally, to the six-vertex model of statistical mechanics. All these threads are brought together in Zeilberger's 1996 proof of the original conjecture. The book is accessible to anyone with a knowledge of linear algebra. Students will learn what mathematicians actually do in an interesting and new area of mathematics, and even researchers in combinatorics will find something new here.
Although today's mathematical research community takes its international character very much for granted, this ``global nature'' is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom thegoal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and nationa...