Geometry

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 classic work has been fundamentally revised to take account of recent developments in general topology.

The first part of this book introduces the Schubert Cells and varieties of the general linear group Gl (k^(r+1)) over a field k according to Ehresmann geometric way.

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

Systems with sub-processes evolving on many different time scales are ubiquitous in applications: chemical reactions, electro-optical and neuro-biological systems, to name just a few.

Topology is a relatively young and very important branch of mathematics.

This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988.

This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry.

This book presents the worked-out solutions for all the exercises in the text by Lang and Murrow.

Zu Recht wird Albert Einsteins Entdeckung der Allgemeinen Relativitätstheorie bewundert, denn ihre Erkenntnisse haben unseren Blick auf das Universum grundlegend verändert.

This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics- and in theoretical physics such as quantum field theory and string theory.

This is a state-of-the-art introduction to the work of Franz Reidemeister, Meng Taubes, Turaev, and the author on the concept of torsion and its generalizations.

This classic text encompasses the most important aspects of plane and spherical trigonometry in a question-and-answer format.

This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and PohangThe conferences were focused on the following two related problems:*  existence of Kahler-Einstein metrics on Fano varieties*  degenerations of Fano varietieson which two famous conjectures were recently proved.

This book explains the notion of Brakke's mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory.

The plausible relativistic physical variables describing a spinning, charged and massive particle are, besides the charge itself, its Minkowski (four) po- sition X, its relativistic linear (four) momentum P and also its so-called Lorentz (four) angular momentum E # 0, the latter forming four trans- lation invariant part of its total angular (four) momentum M.

Mechanics is one of the oldest and most foundational subjects in undergraduate curricula for mathematicians, physicists, and engineers.

Among the intuitively appealing aspects of graph theory is its close connection to drawings and geometry.

This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty.

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.

The art of origami, or paper folding, is carried out using a square piece of paper to obtain attractive figures of animals, flowers or other familiar figures.

Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication.

Self-contained, richly illustrated account of modern differential geometry applied to integral geometry.

What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common?

This is the Proceedings of the ICM 2010 Satellite Conference on "e;Buildings, Finite Geometries and Groups"e; organized at the Indian Statistical Institute, Bangalore, during August 29 - 31, 2010.

This second edition of Alexander Soifer's How Does One Cut a Triangle?

Mathematical craftwork has become extremely popular, and mathematicians and crafters alike are fascinated by the relationship between their crafts.

Discussion of theory and applications of algebraic curves over finite fields with many rational points.

From reviews of the first edition:"e;In the world of mathematics, the 1980's might well be described as the "e;decade of the fractal"e;.

The problem of "e;Shortest Connectivity"e;, which is discussed here, has a long and convoluted history.

This book will be of great interest to researchers into algebraic topology.

The subject matter of compact groups is frequently cited in fi elds like algebra, topology, functional analysis, and theoretical physics.

This book summarizes the author's lifetime achievements, offering new perspectives and approaches in the field of metal cutting theory and its applications.

Introduction to Recognition and Deciphering of Patterns is meant to acquaint STEM and non-STEM students with different patterns, as well as to where and when specific patterns arise.

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.

This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.

Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel estimates to study Ricci flows, especially with surgeries.

The 100+ Series, Intro to Geometry, offers in-depth practice and review for challenging middle school math topics such as angles and triangles; graphing lines; and area, volume, and surface area.

This book consists of two parts.

Since the foundational work of Lagrange on the differential equation to be satisfied by a minimal surface of the Euclidean space, the theory of minimal submanifolds have undergone considerable developments, involving techniques from related areas, such as the analysis of partial differential equations and complex analysis.