Geometry

This encyclopedia contains trigonometric identity proofs for some three hundred identities.

This collection of tiling patterns contains over 4,000 images combining the wonders of art and mathematics.

This book gives a self-contained fundamental study of the subject.

This volume presents some of the longstanding research problems of Geometry and Topology.

This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry.

This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry.

This is a book of marvelous pictures that illustrates standard examples in low dimensional topology.

In 1934, G.

These notes are the content of an introductory course on modern, coordinate-free differential geometry which is taken by the first-year theoretical physics PhD students, or by students attending the one-year MSc course "e;Fundamental Fields and Forces"e; at Imperial College.

The subject of geometry has become an important ingredient in condensed matter physics.

Quasitopoi generalize topoi, a concept of major importance in the theory of Categoreis, and its applications to Logic and Computer Science.

This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field theory.

This volume consists of papers written by eminent scientists from the international mathematical community, who present the latest information concerning the problem of Plateau after its classical solution by Jesse Douglas and Tibor Rado.

This book concentrates mainly on the theorem of existence of periodic orbits for higher dimensional analogs of Twist maps.

This book is devoted to the possible applications of spectral analysis and spectral synthesis for convolution type functional equations on topological abelian groups.

The investigation of phenomena involving fractals has gone through a spectacular development in the last decade.

These original research papers, written during a period of over a quarter of a century, have two main objectives.

This review volume consists of articles by outstanding scientists who explore Archimedes' influence on the development of mathematics, particularly on Geometry, Analysis and Mechanics.

This set of selected papers of Klingenberg covers some of the important mathematical aspects of Riemannian Geometry, Closed Geodesics, Geometric Algebra, Classical Differential Geometry and Foundations of Geometry of Klingenberg.

This concise monograph is intended for students and scientists specializing in contemporary field theory, gravitation theory and modern differential geometry.

In the past thirty years, differential geometry has undergone an enormous change with infusion of topology, Lie theory, complex analysis, algebraic geometry and partial differential equations.

This book discusses the geometrical aspects of Kaluza-Klein theories.

This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations.

This book will allow you to travel through time and space.

The authors describe mostly in non-technical language the development of a new scientific paradigm based on nonlinear deterministic dynamics and fractal geometry.

The book is an introduction to the foundations of Mathematics.

This book stresses the unifying power of the geometrical framework in bringing together concepts from the different areas of physics.

About one and a half decades ago, Feigenbaum observed that bifurcations, from simple dynamics to complicated ones, in a family of folding mappings like quadratic polynomials follow a universal rule (Coullet and Tresser did some similar observation independently).

Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges.

This book reports recent major advances in automated reasoning in geometry.

The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many other categories (e.

In this second edition, the following recent papers have been added: "e;Gauss Codes, Quantum Groups and Ribbon Hopf Algebras"e;, "e;Spin Networks, Topology and Discrete Physics"e;, "e;Link Polynomials and a Graphical Calculus"e; and "e;Knots Tangles and Electrical Networks"e;.

This book on symmetric geometric patterns of Islamic art has educational, aesthetic, cultural and practical purposes.

This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry.

This book recounts the connections between multidimensional hypergeometric functions and representation theory.

Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics.

This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths.

This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader.

This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.

Many natural objects have been found to be fractal and fractal mathematics has been used to generate many beautiful "e;nature"e; scenes.

This book offers an advanced course on "e;Computational Geometry for Ships"e;.

Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry.

This volume presents the theory of partial differential equations (PDEs) from a modern geometric point of view so that PDEs can be characterized by using either technique of differential geometry or algebraic geometry.

This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications.

The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L K Hua in the forties.

Vijay Kumar Patodi was a brilliant Indian mathematicians who made, during his short life, fundamental contributions to the analytic proof of the index theorem and to the study of differential geometric invariants of manifolds.

Anomalies are ubiquitous features in quantum field theories.

The goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology.

This book deals with Riemannian manifolds for which the nullity space of the curvature tensor has codimension two.