Geometry

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

Many branches of science and engineering involve applications of mathematical analysis.

This volume is published in honor of Professor Gu Chaohao, a renowned mathematician and member of the Chinese Academy of Sciences, on the occasion of his 70th birthday and his 50th year of educational work.

This volume consists of ten lectures given at an international workshop/conference on knot theory held in July 1996 at Waseda University Conference Center.

The aim of this book is to throw light on various facets of geometry through development of four geometrical themes.

In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field.

This book gives an outline of the developments of differential geometry and topology in the twentieth century, especially those which will be closely related to new discoveries in theoretical physics.

This book presents in a unified way modern geometric methods in analytical mechanics based on the application of fibre bundles, jet manifold formalism and the related concept of connection.

The present book, Chaos and Fractals in Engineering, is written for all engineers and experts or graduate students or beginners working in the application fields, and for experimental scientists in general.

This is both a textbook and a monograph.

This book is based on the authors' research on rendering images of higher dimensional fractals by a distance estimation technique.

This book deals with the new class of one-dimensional variational problems - the problems with branching solutions.

This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.

Fred Almgren exploited the excess method for proving regularity theorems in the calculus of variations.

This book is a collection of talks presented at the 1998 IEEE International Conference on Robotics and Automation.

The recent revolution in differential topology related to the discovery of non-standard ("e;exotic"e;) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity.

This invaluable book contains selected papers of Prof Chuan-Chih Hsiung, renowned mathematician in differential geometry and founder and editor-in-chief of a unique international journal in this field, the Journal of Differential Geometry.

The real world is complicated, as a result of which most mathematical models arising from mechanics, physics, chemistry and biology are nonlinear.

In 1993, M Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry.

Foreword by S S Chern In 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds.

A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold.

This volume presents the following topics: non-Abelian Toda models, brief remarks for physicists on equivariant cohomology and the Duistermaat-Heckman formula, Casimir effect, quantum groups and their application to nuclear physics, quantum field theory, quantum gravity and the theory of extended objects, and black hole physics and cosmology.

This book provides, for use in a graduate course or for self-study by graduate students, a well-motivated treatment of several topics, especially the following: (1) algebraic treatment of several complex variables; (2) geometric approach to algebraic geometry via analytic sets; (3) survey of local algebra; (4) survey of sheaf theory.

These lecture notes are based on a series of lectures given at the Nankai Institute of Mathematics in the fall of 1998.

In 1854, B Riemann introduced the notion of curvature for spaces with a family of inner products.

The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in "e;Mathematics, Chemistry, and Astronomy - Professional and Reference"e; in 1991.

This workshop brought together specialists in complex analysis, differential geometry, mathematical physics and applications for stimulating cross-disciplinary discussions.

This book provides an overview of recent developments in web theory.

During the last five years, after the first meeting on "e;Quaternionic Structures in Mathematics and Physics"e;, interest in quaternionic geometry and its applications has continued to increase.

The dense packing of microscopic spheres (i.

This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics.

Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful.

There have been exciting developments in the area of knot theory in recent years.

This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms.

This volume presents the proceedings of a conference on differential geometry held in honour of the 60th birthday of A M Naveira.

The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics.

This book constitutes the proceedings of the 2000 Howard conference on "e;Infinite Dimensional Lie Groups in Geometry and Representation Theory"e;.

This invaluable book contains the collected papers of Prof Wei-Liang Chow, an original and versatile mathematician of the 20th Century.

This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory.

This book is a collection of original papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics.

The International Conference on Modern Mathematics and the International Symposium on Differential Geometry, in honor of Professor Su Buchin on the centenary of his birth, were held in September 2001 at Fudan University, Shanghai, China.

This book is the proceedings of the conference "e;Algebraic Geometry in East Asia"e; which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.

Over the past 20 years, the theory of groups - in particular simple groups, finite and algebraic - has influenced a number of diverse areas of mathematics.

This volume covers a broad range of subjects in modern geometry and related branches of mathematics, physics and computer science.

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.

Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography.

The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds.