By Gaston Darboux
Excerpt from Leçons sur les Systèmes Orthogonaux Et les Coordonnées Curvilignes
Dans les Leçons sur los angeles théorie des surfaces, j avais déjà fait connaître, d'une manière incidente, différentes professional priétés des systèmes triples orthogonaux et des coordon nées curvilignes; mais j'avais réservé le développement régulier et systématique des théories qui se rattachent à ce beau sujet pour le nouveau Traité dont je begin aujourd'hui los angeles publication.
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By Parshin A. N. (Ed), Shafarevich I. R. (Ed)
This quantity of the EMS includes elements. the 1st entitled Combinatorial team concept and primary teams, written via Collins and Zieschang, presents a readable and finished description of that a part of team conception which has its roots in topology within the conception of the elemental team and the idea of discrete teams of modifications. in the course of the emphasis is at the wealthy interaction among the algebra and the topology and geometry. the second one half by way of Grigorchuk and Kurchanov is a survey of contemporary paintings on teams in terms of topological manifolds, facing equations in teams, fairly in floor teams and unfastened teams, a research when it comes to teams of Heegaard decompositions and algorithmic elements of the Poincaré conjecture, in addition to the proposal of the expansion of teams. The authors have integrated a listing of open difficulties, a few of that have no longer been thought of formerly. either elements comprise a number of examples, outlines of proofs and entire references to the literature. The publication might be very valuable as a reference and advisor to researchers and graduate scholars in algebra and topology.
By Sergey V. Matveev
Algebraic topology is the learn of the worldwide houses of areas through algebra. it truly is a big department of recent arithmetic with a large measure of applicability to different fields, together with geometric topology, differential geometry, sensible research, differential equations, algebraic geometry, quantity idea, and theoretical physics. This e-book offers an advent to the elemental recommendations and techniques of algebraic topology for the newbie. It provides parts of either homology idea and homotopy conception, and contains quite a few purposes. The author's purpose is to depend on the geometric technique via beautiful to the reader's personal instinct to assist realizing. the various illustrations within the textual content additionally serve this function. gains make the textual content diversified from the normal literature: first, particular awareness is given to supplying specific algorithms for calculating the homology teams and for manipulating the elemental teams. moment, the ebook comprises many routines, all of that are provided with tricks or options. This makes the booklet compatible for either lecture room use and for self sustaining examine. A e-book of the eu Mathematical Society (EMS). dispensed in the Americas via the yankee Mathematical Society.
By Vaughan F. R. Jones
This ebook relies on a suite of lectures offered by means of the writer on the NSF-CBMS neighborhood convention, purposes of Operator Algebras to Knot idea and Mathematical Physics, held on the U.S. Naval Academy in Annapolis in June 1988. The viewers consisted of low-dimensional topologists and operator algebraists, so the speaker tried to make the cloth understandable to either teams. He offers an in depth advent to the idea of von Neumann algebras and to knot thought and braid teams. The presentation follows the historic improvement of the speculation of subfactors and the consequent functions to knot idea, together with complete proofs of a few of the foremost effects. the writer treats intimately the Homfly and Kauffman polynomials, introduces statistical mechanical equipment on knot diagrams, and makes an attempt an analogy with conformal box thought. Written by way of one of many optimum mathematicians of the day, this booklet will provide readers an appreciation of the unforeseen interconnections among various elements of arithmetic and physics.
By Kurt Lewin, Fritz Heider
Ideas OF TOPOLOGICAL PSYCHOLOGY by way of KURT LEWIN. initially released in 1936. PREFACE through DR. WOLFGANG KOHLER Swarthmore university Swarthmore: pricey KOHLER This booklet is the results of a really gradual progress. I be mindful the instant while greater than ten years in the past it happened to me that the figures at the blackboard that have been to demonstrate a few difficulties for a bunch in psychology may finally be now not basically illustrations yet representations of genuine suggestions. a lot drawn to the speculation of technological know-how, I had already in 1912 as a pupil defended the thesis opposed to a then absolutely approved philo sophical dictum that psychology, facing manifolds of coexist ing proof, will be ultimately compelled to take advantage of not just the concept that of time yet that of house too. understanding whatever of the final thought of element units, I felt vaguely that the younger mathematical self-discipline topology can be of a few assist in making psychology a true technological know-how. i started learning topology and using its recommendations, which quickly seem