Geometry

This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction.

This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions.

Homogeneous Finsler Spaces is the first book to emphasize the relationship between Lie groups and Finsler geometry, and the first to show the validity in using Lie theory for the study of Finsler geometry problems.

This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics.

Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.

Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10-12, 2014.

The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional.

From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen- turies, intersection theory has played a central role.

Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets.

This book is based on lectures on geometry at the University of Bergen, Norway.

The development of dynamics theory began with the work of Isaac Newton.

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

From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P.

This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis.

The general principles by which the editors and authors of the present edition have been guided were explained in the preface to the first volume of Mathemat- ics of the 19th Century, which contains chapters on the history of mathematical logic, algebra, number theory, and probability theory (Nauka, Moscow 1978; En- glish translation by Birkhiiuser Verlag, Basel-Boston-Berlin 1992).

In the past two decades, convex analysis and optimization have been developed in Hadamard spaces.

This categorical perspective on homotopy theory helps consolidate and simplify one''s understanding of derived functors, homotopy limits and colimits, and model categories, among others.

This authoritative volume in honor of  Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject.

This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity.

This volume is a collection of the papers presented at the International Conference on Fractal Concepts and the Application of Chaos in Chemical Engineering Problems.

This textbook focuses on the geometry of circles, spheres, and spherical geometry.

This textbook presents the theory of Metric Spaces necessary for studying analysis beyond one real variable.

The problems being solved by invariant theory are far-reaching generalizations and extensions of problems on the "e;reduction to canonical form"e; of various is almost the same thing, projective geometry.

This volume covers semilinear embeddings of vector spaces over division rings and the associated mappings of Grassmannians.

Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry.

Understanding how a single shape can incur a complex range of transformations, while defining the same perceptually obvious figure, entails a rich and challenging collection of problems, at the interface between applied mathematics, statistics and computer science.

This book introduces the reader to modern algebraic geometry.

The aim of the book is to give a broad introduction of topology to undergraduate students.

Algebraic geometry has its origin in the study of systems of polynomial equations f (x ,.

Conformal groups play a key role in geometry and spin structures.

This brief focuses on the structural properties of nonlinear time-delay systems.

This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics.

In 1934, G.

This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles.

This volume collects the notes of the CIME course "e;Nonlinear PDE's and applications"e; held in Cetraro (Italy) on June 23-28, 2008.

This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the Ecole Polytechnique to other countries.

A complex torus is a connected compact complex Lie group.

Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition, provides an introduction to the geometry of curves and surfaces.

From the reviews: "e;.

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory.

Zurich, summer 1912.