By Jens Bolte,Frank Steiner
By H.S.M. Coxeter,G. Beck
By Christiaan Peters,Joseph H. M. Steenbrink
This is accomplished simple monograph on combined Hodge constructions. increase from uncomplicated Hodge idea the booklet explains Delingne's combined Hodge conception in a close model. Then either Hain's and Morgan's ways to combined Hodge conception on the topic of homotopy idea are sketched. subsequent comes the relative idea, after which the all encompassing thought of combined Hodge modules. The booklet is interlaced with chapters containing purposes. 3 huge appendices entire the book.
By Niels Lauritzen
Based on undergraduate instructing to scholars in desktop technology, economics and arithmetic at Aarhus college, this can be an hassle-free advent to convex units and convex services with emphasis on concrete computations and examples.
Starting from linear inequalities and Fourier–Motzkin removal, the speculation is built by means of introducing polyhedra, the double description technique and the simplex set of rules, closed convex subsets, convex services of 1 and several other variables finishing with a bankruptcy on convex optimization with the Karush–Kuhn–Tucker stipulations, duality and an inside aspect algorithm.
- Fourier–Motzkin removal
- Affine Subspaces
- Convex Subsets
- Computations with Polyhedra
- Closed Convex Subsets and isolating Hyperplanes
- Convex Functions
- Differentiable services of a number of Variables
- Convex services of a number of Variables
- Convex Optimization
- Linear (In)dependence and the Rank of a Matrix
Readership: Undergraduates concentrating on convexity and optimization.
By Vagn Lundsgaard Hansen
By Ian Tweddle
In this booklet, Ian Tweddle, a recognized authority on 18th century Scottish arithmetic, provides for the 1st time an entire and obtainable translation of Simson's paintings. according to Simson's early paper of 1723, the treatise, and numerous extracts from Simson's notebooks and correspondence, this publication offers a desirable perception into the paintings of an often-neglected determine. Supplemented by means of old and mathematical notes and reviews, this e-book is a important addition to the literature for somebody with an curiosity in mathematical heritage or geometry.
By V.P. Dimri
By Yuli Rudyak
The research of triangulations of topological areas has constantly been on the root of geometric topology. one of the so much studied triangulations are piecewise linear triangulations of high-dimensional topological manifolds. Their learn culminated within the past due 1960s–early Seventies in a whole class within the paintings of Kirby and Siebenmann. it really is this class that we talk about during this publication, together with the distinguished Hauptvermutung and Triangulation Conjecture.
The target of this ebook is to supply a readable and well-organized exposition of the topic, which might be appropriate for complicated graduate scholars in topology. An exposition like this can be presently lacking.
By G. Ellingsrud,C. Peskine,G. Sacchiero,S. A. Stromme
By Maria Moszynska