Non-Euclidean geometry

This book is a Weekend Pocketbook on Everything You Should Know About the Shape of the Universe, the story of one of cosmology's oldest and biggest questions: what does the whole cosmos look like?

The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time.

The theory of D-modules deals with the algebraic aspects of differential equations.

A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces.

Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985.

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics.

The first part of this monograph is devoted to a characterization of hypergeometric-like functions, that is, twists of hypergeometric functions in n-variables.

In his classic work of geometry, Euclid focused on the properties of flat surfaces.

Riemann introduced the concept of a "e;local system"e; on P1-{a finite set of points} nearly 140 years ago.

In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration.

Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place.

These notes are based on a course of lectures given at Princeton University during the academic year 19661967.

Essential mathematical insights into one of the most important and challenging open problems in general relativity-the stability of black holesOne of the major outstanding questions about black holes is whether they remain stable when subject to small perturbations.

This book uses the genre of philosophy to approach a conceptual truth which is inherent in human nature; that is 'dimensional simplification'.

Este libro, haciendo honor a su nombre, presenta de modo explicito y preciso la cantidad de estrellas magicas de seis puntas que se pueden disenar usando los numeros naturales comprendidos entre 1 y 12.

Edwin A.

Flatland: A Romance of Many Dimensions is a satirical novel.

An important new perspective on AFFINE AND PROJECTIVEGEOMETRY This innovative book treats math majors and math education studentsto a fresh look at affine and projective geometry from algebraic,synthetic, and lattice theoretic points of view.