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 basic contributions in components as assorted as: spin geometry, instanton and monopole equations, twistor concept, symplectic geometry of moduli areas, integrables platforms, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, distinct Lagrangian geometry and replicate symmetry, conception 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 simple examples and methods during this region. appropriate for self-study through 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 yankee Mathematical Society, in addition to a profitable Springer writer.

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

In line with a direction given to proficient high-school scholars at Ohio collage in 1988, this ebook is largely a sophisticated undergraduate textbook concerning the arithmetic of fractal geometry. It well bridges the space among conventional books on topology/analysis and extra really expert treatises on fractal geometry.

Higher-Dimensional Algebraic Geometry (Universitext)

The class thought of algebraic forms is the focal point of this e-book. This very energetic region of analysis remains to be constructing, yet an awesome volume of data has amassed over the last two decades. The authors target is to supply an simply available advent to the topic. The booklet begins with preparatory and conventional definitions and effects, then strikes directly to speak about a variety of facets of the geometry of gentle projective forms with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version software of type of algebraic types by means of proving the cone and contraction theorems.