Geometry

As in the field of "e;Invariant Distances and Metrics in Complex Analysis"e; there was and is a continuous progress this is now the second extended edition of the corresponding monograph.

This book presents a development of invariant manifold theory for a spe- cific canonical nonlinear wave system -the perturbed nonlinear Schrooinger equation.

In the more than 100 years since the fundamental group was first introduced by Henri Poincare it has evolved to play an important role in different areas of mathematics.

In the last years there has been significant progress in the theory of valuations, which in turn has led to important achievements in integral geometry.

This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts.

Geometry and topology are strongly motivated by thevisualization of ideal objects that have certain specialcharacteristics.

This proceedings volume gathers selected, revised papers presented at the 51st Southeastern International Conference on Combinatorics, Graph Theory and Computing (SEICCGTC 2020), held at Florida Atlantic University in Boca Raton, USA, on March 9-13, 2020.

A self-contained exposition of local class field theory for students in advanced algebra.

Distance metrics and distances have become an essential tool in many areas of pure and applied Mathematics, and this encyclopedia is the first one to treat the subject in full.

Twistor theory is the remarkable mathematical framework that was discovered by Roger Penrose in the course of research into gravitation and quantum theory.

Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.

This book explains the foundations of holomorphic curve theory in contact geometry.

Smooth Topological Design of Continuum Structures focuses on the use of a newly-proposed topology algorithm for structural optimization called Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT).

Working out solutions to polynomial equations is a mathematical problem that dates from antiquity.

This volume contains the original lecture notes presented by A.

In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals.

This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages.

Groups & Geometric Analysis

Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi.

This book emphasizes the importance of consistent, well-planned, and computer-oriented engineering documentation systems to engineering, manufacturing, and accounting.

For textual studies relating to the ancient mathematical corpus the efforts by the Danish philologist, 1.

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.

This textbook offers a thorough, modern introduction into commutative algebra.

This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism.

Part 1 of this popular graduate-level textbook focuses on mathematical methods involving complex analysis, determinants, and matrices, including updated and additional material covering conformal mapping.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

This volume is an introduction and a monograph about tight polyhedra.

The International Conference "e;Algebraic Geometry and Analytic Geometry, Tokyo 1990"e; was held at Tokyo Metropolitan University and the Tokyo Training Center of Daihyaku Mutual Life Insurance Co.

This book aims at gathering roboticists, control theorists, neuroscientists, and mathematicians, in order to promote a multidisciplinary research on movement analysis.

Ordinary differential control thPory (the classical theory) studies input/output re- lations defined by systems of ordinary differential equations (ODE).

This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry.

Philosophy of Mathematics is understood, in this book, as an effort to clarify such questions that mathematics itself raises but cannot answer with its own methods.

This textbook offers a different approach to classical textbooks in Differential Geometry.

Vladimir Arnold was one of the great mathematical scientists of our time.

The conformal geometry of surfaces recently developed by the authors leads to a unified understanding of algebraic curve theory and the geometry of surfaces on the basis of a quaternionic-valued function theory.

This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history.

In July 1996, a conference was organized by the editors of this volume at the Mathematische Forschungsinstitut Oberwolfach to honour Egbert Brieskorn on the occasion of his 60th birthday.

This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology).

A rigorous introduction to real analysis for undergraduates.

A new ANGLE to learning GEOMETRYTrying to understand geometry but feel like you're stuck in another dimension?

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.

An essential introduction to discrete and computational geometryDiscrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science.

This volume on pure and applied differential geometry, includes topics on submanifold theory, affine differential geometry and applications of geometry in engineering sciences.

A group of Gerry Schwarz's colleagues and collaborators gathered at the Fields Institute in Toronto for a mathematical festschrift in honor of his 60th birthday.

The field of computational learning theory arose out of the desire to for- mally understand the process of learning.

Presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics.

In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory.