Category: Geometry And Topology

Download E-books First Notions of Logic: (Preparatory to the Study of Geometry) PDF

This e-book was once initially released ahead of 1923, and represents a replica of a tremendous historic paintings, holding an identical structure because the unique paintings. whereas a few publishers have opted to practice OCR (optical personality popularity) expertise to the method, we think this results in sub-optimal effects (frequent typographical mistakes, unusual characters and complicated formatting) and doesn't thoroughly protect the old personality of the unique artifact. We think this paintings is culturally vital in its unique archival shape. whereas we attempt to accurately fresh and digitally increase the unique paintings, there are sometimes cases the place imperfections akin to blurred or lacking pages, bad photos or errant marks can have been brought because of both the standard of the unique paintings or the scanning method itself. regardless of those occasional imperfections, now we have introduced it again into print as a part of our ongoing worldwide ebook protection dedication, delivering consumers with entry to the very best ancient reprints. We savour your realizing of those occasional imperfections, and truly wish you get pleasure from seeing the e-book in a layout as shut as attainable to that meant by way of the unique writer.

Show description

Continue Reading →

Download E-books Twistor Geometry and Field Theory (Cambridge Monographs on Mathematical Physics) PDF

By R. S. Ward

This e-book offers with the twistor therapy of convinced linear and non-linear partial differential equations in mathematical physics. the outline by way of twistors contains algebraic and differential geometry, and a number of other complicated variables, and ends up in a unique form of surroundings that provides a brand new standpoint at the homes of space-time and box theories. The ebook is designed for use via mathematicians and physicists and so the authors have made it kind of self-contained. the 1st half features a improvement of the mandatory mathematical history. within the moment half, Yang-Mills fields and gravitational fields (the uncomplicated fields of latest physics) are defined on the classical point. within the ultimate half, the math and physics are married to resolve a few field-theoretical difficulties.

Show description

Continue Reading →

Download E-books Dynamics, Laplace transform and spectral geometry PDF

By Burghelea D., Haller S.

During this paper, we think about vector fields on a closed manifold whose instantons and closed trajectories could be 'counted'. Vector fields which admit Lyapunov closed one varieties belong to this classification. We exhibit that lower than an extra speculation, 'the exponential development property', the counting services of instantons and closed trajectories have Laplace transforms which are regarding the topology and the geometry of the underlying manifold. the aim of this paper is to introduce and discover the idea that 'exponential development property', and to explain those Laplace transforms.

Show description

Continue Reading →