By Chris Doran,Anthony Lasenby
By Carol Parikh
By Christopher G. Small
By Hans-Joachim Baues
The algebra of fundamental cohomology operations computed via the well known Steenrod algebra is among the strongest instruments of algebraic topology. This ebook computes the algebra of secondary cohomology operations which enriches the constitution of the Steenrod algebra in a brand new and unforeseen manner.
The booklet solves a long-standing challenge at the algebra of secondary cohomology operations via constructing a brand new algebraic idea of such operations. the consequences have robust influence at the Adams spectral series and consequently at the computation of homotopy teams of spheres.
By H. P. F. Swinnerton-Dyer
By Steven G. Krantz
More up to date and available to complicated undergraduates than many of the different books to be had during this particular box, the remedy discusses the background of this energetic and renowned department of arithmetic in addition to fresh advancements. issues comprise the Riemann mapping theorem, invariant metrics, general households, automorphism teams, the Schwarz lemma, harmonic degree, extremal size, analytic ability, and invariant geometry. A worthy Bibliography and Index entire the text.
By Christopher D. Hacon,Sándor Kovács
Higher Dimensional Algebraic Geometry offers fresh advances within the category of complicated projective forms. contemporary ends up in the minimum version software are mentioned, and an advent to the speculation of moduli areas is presented.
By Omraam Mikhaël Aïvanhov
‘From the earliest days of historical past, males have sought a language which might be either common and artificial, a language in a position to expressing the richest and most intricate realities whereas, even as, lowering them to the barest necessities. it really is this study that resulted in the invention of pictures and logos. photos and logos communicate: they've got their very own language, however the absolute language of symbols is that of geometrical figures. Geometrical figures are, because it have been, the framework or skeleton of fact yet even if they're lowered to the naked bones they're under no circumstances lifeless, for they symbolize residing realities in guy and the universe. And this is because, as a way to interpret them we need to breathe the lifetime of the spirit into them: they are going to suggest not anything to us if we're content material to check them in simple terms as they take place outdoor ourselves.’
Omraam Mikhaël Aïvanhov
By Irina Kleyman,Vladimir Kleyman
My colossal event aid me to provide pupil very good wisdom. This publication contain extremely important subject to achieve success pupil in any schools.
This ebook contain overview of arithmetic:whole numbers, decimals, fractions and combined numbers, rational numbers, introductions of equations, polynomial, geometry, notice problems.
By Jacques Gasqui,Hubert Goldschmidt
This publication offers the 1st unified exam of the connection among Radon transforms on symmetric areas of compact variety and the infinitesimal types of 2 basic pressure difficulties in Riemannian geometry. Its basic concentration is the spectral pressure challenge: Can the metric of a given Riemannian symmetric area of compact sort be characterised by way of the spectrum of its Laplacian? It additionally addresses a query rooted within the Blaschke challenge: Is a Riemannian metric on a projective area whose geodesics are all closed and of a similar size isometric to the canonical metric?
The authors comprehensively deal with the consequences touching on Radon transforms and the infinitesimal models of those difficulties. Their major end result signifies that such a lot Grassmannians are spectrally inflexible to the 1st order. this is often relatively very important, for there are nonetheless few isospectrality effects for certainly curved areas and those are the 1st such effects for symmetric areas of compact kind of rank >1. The authors take advantage of the speculation of overdetermined partial differential equations and harmonic research on symmetric areas to supply standards for infinitesimal tension that observe to a wide category of spaces.
a great deal of simple fabric approximately Riemannian geometry, symmetric areas, and Radon transforms is integrated in a transparent and chic presentation that may be precious to researchers and complex scholars in differential geometry.