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Perspectives in Analysis, Geometry, and Topology - On the Occasion of the 60th Birthday of Oleg Viro (Hardcover, 2012): Ilia... Perspectives in Analysis, Geometry, and Topology - On the Occasion of the 60th Birthday of Oleg Viro (Hardcover, 2012)
Ilia Itenberg, Burglind Joericke, Mikael Passare
R3,924 Discovery Miles 39 240 Ships in 12 - 19 working days

The articles in this volume are invited papers from the Marcus Wallenberg symposiumand focus on research topicsthat bridge the gapbetweenanalysis, geometry, and topology. The encounters between these three fieldsare widespread and often provide impetus for major breakthroughs in applications.Topics include new developments in low dimensional topology related to invariants of links and three and four manifolds; Perelman's spectacular proof of the Poincare conjecture; and the recent advances made in algebraic, complex, symplectic, and tropical geometry."

Real Algebraic Geometry (Paperback, 2013 ed.): Vladimir I. Arnold Real Algebraic Geometry (Paperback, 2013 ed.)
Vladimir I. Arnold; Edited by Ilia Itenberg, Viatcheslav Kharlamov, Eugenii I. Shustin; Translated by Gerald G. Gould
R1,937 Discovery Miles 19 370 Ships in 10 - 15 working days

This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images.

At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from the nineteenth century as a legacy for the twentieth century).

In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you will now see, many remarkable results have been discovered).

Tropical Algebraic Geometry (Paperback, 2nd ed. 2009): Ilia Itenberg, Grigory Mikhalkin, Eugenii I. Shustin Tropical Algebraic Geometry (Paperback, 2nd ed. 2009)
Ilia Itenberg, Grigory Mikhalkin, Eugenii I. Shustin
R1,399 Discovery Miles 13 990 Ships in 10 - 15 working days

These notes present a polished introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make the first steps in the subject which is not yet well represented in the literature. The notes are based on a seminar at the Mathematical Research Center in Oberwolfach in October 2004. The intended audience is graduate, post-graduate, and Ph.D. students as well as established researchers in mathematics.

Real Enriques Surfaces (Paperback, 2000 ed.): Alexander Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov Real Enriques Surfaces (Paperback, 2000 ed.)
Alexander Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov
R1,975 Discovery Miles 19 750 Ships in 10 - 15 working days

This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation. Simple explicit topological invariants are elaborated for identifying the deformation classes of real Enriques surfaces. Some of theses are new and can be applied to other classes of surfaces or higher-dimensional varieties. Intended for researchers and graduate students in real algebraic geometry it may also interest others who want to become familiar with the field and its techniques. The study relies on topology of involutions, arithmetics of integral quadratic forms, algebraic geometry of surfaces, and the hyperk hler structure of K3-surfaces. A comprehensive summary of the necessary results and techniques from each of these fields is included. Some results are developed further, e.g., a detailed study of lattices with a pair of commuting involutions and a certain class of rational complex surfaces.

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