Geometry

This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises).

Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matematica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings.

This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks.

This volume is intended to carryon the program initiated in Topology, Geometry, and Gauge Fields: Foundations (henceforth, [N4]).

This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory.

Este libro ha sido escrito con objeto de proporcionar a los dibujantes técnicos en particular y a los estudiantes en general un tratado de las cuestiones más importantes de la Geometría descriptiva y sus aplicaciones en las distintas ramas de la Ingeniería.

Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.

Every group is represented in many ways as an epimorphic image of a free group.

This book is aimed at graduate students and researchers in physics and mathematics who seek to understand the basics of supersymmetry from a mathematical point of view.

Outer billiards is a basic dynamical system defined relative to a convex shape in the plane.

This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics.

An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.

The Sixth International Workshop on Complex Structures and Vector Fields was a continuation of the previous five workshops (1992, 1994, 1996, 1998, 2000) on similar research projects.

Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology.

Field Arithmetic explores Diophantine fields through their absolute Galois groups.

In my long professional life as a mathematician I have had to deliver various survey lectures.

Der Leitfaden Geometrie führt Lehramtsstudierende in zentrale Teilgebiete der Geometrie ein.

Questions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization.

Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups.

Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory.

This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory.

This book provides a self-contained proof of the Mordell conjecture (Faltings''s theorem) and a concise introduction to Diophantine geometry.

A NATO Advanced Study Institute entitled "e;Algebraic K-theory: Connections with Geometry and Topology"e; was held at the Chateau Lake Louise, Lake Louise, Alberta, Canada from December 7 to December 11 of 1987.

This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists.

This textbook offers an introduction to differential geometry designed for readers interested in modern geometry processing.

The Hardy-Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists.

This unique collection of new and classical problems provides full coverage of geometric inequalities.

This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces.

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to the study of some problems considered in nonlinear analysis, in geometry, and in applied mathematics.

Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely.

A classic treatment of minimal submanifolds from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden's permanent conjecture, as well as additional, highly original and delightful proofs in other chapters.

This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Every reader will find something of interest in this book - from superdiffusion of the ocean surface to fetal heartbeats, from solar wind to the wearing-out of tools, from radioactive contamination to texture analysis, from image rendering to neural developments.

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.

Although the study of dynamical systems is mainly concerned with single trans- formations and one-parameter flows (i.

The object of this book is to introduce the reader to some of the most important techniques of modern global geometry.

This volume contains contributions by the main participants of the 4th International Colloquium on Differential Geometry and its Related Fields (ICDG2014).

This book consists of two parts.

Several years ago our statistical friends and relations introduced us to the work of Amari and Barndorff-Nielsen on applications of differential geometry to statistics.

This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties.

Four-Dimensional Manifolds and Projective Structure may be considered first as an introduction to di?