The Many Facets of Geometry: A Tribute to Nigel Hitchin (Oxford Science Publications)

Few humans have proved extra influential within the box of differential and algebraic geometry, and in displaying how this hyperlinks with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made primary contributions in parts as diversified as: spin geometry, instanton and monopole equations, twistor thought, symplectic geometry of moduli areas, integrables platforms, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, specified Lagrangian geometry and replicate symmetry, concept of grebes, and lots of extra.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of uncomplicated examples and strategies during this quarter. appropriate for self-study via a reader who is aware a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a profitable Springer writer.

Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)

In response to a direction given to gifted high-school scholars at Ohio collage in 1988, this ebook is largely a complicated undergraduate textbook concerning the arithmetic of fractal geometry. It properly bridges the space among conventional books on topology/analysis and extra really good treatises on fractal geometry.

Higher-Dimensional Algebraic Geometry (Universitext)

The class idea of algebraic forms is the focal point of this booklet. This very energetic region of study remains to be constructing, yet an awesome volume of data has gathered over the last 20 years. The authors aim is to supply an simply available advent to the topic. The publication starts off with preparatory and traditional definitions and effects, then strikes directly to talk about numerous points of the geometry of gentle projective types with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version software of class of algebraic kinds by means of proving the cone and contraction theorems.