Geometry

Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise.

This book offers a gentle introduction to key elements of Geometric Algebra, along with their applications in Physics, Robotics and Molecular Geometry.

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.

Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries.

The implicit function theorem is part of the bedrock of mathematical analysis and geometry.

Despite its importance in the history of Ancient science, Menelaus' Spherics is still by and large unknown.

Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp.

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 gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018.

The book is the second volume of a collection which consists of surveys that focus on important topics in geometry which are at the heart of current research.

This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author.

An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables.

This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity.

This book is an enhanced and expanded English edition of the treatise "e;Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo,"e; published by the Accademia delle Scienze di Torino in volume no.

This book presents properties, examples, rigidity theorems and classification results of such Finsler metrics.

The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries.

The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus.

Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity.

This book provides theoretical concepts and applications of fractals and multifractals to a broad range of audiences from various scientific communities, such as petroleum, chemical, civil and environmental engineering, atmospheric research, and hydrology.

The connective constant of a quasi-transitive infinite graph is a measure for the asymptotic growth rate of the number of self-avoiding walks of length n from a given starting vertex.

After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras.

Introduces fundamental concepts and computational methods of mathematics from the perspective of physicists.

Visualization research aims to provide insight into large, complicated data sets and the phenomena behind them.

A traditional approach to developing multivariate statistical theory is algebraic.

The first instance of pre-computer fractals was noted by the French mathematician Gaston Julia.

An unusual conference on the foundations of geometry was held in 1974 at the University of Toronto.

The object of this book is to present the basic facts of convex functions, standard dynamical systems, descent numerical algorithms and some computer programs on Riemannian manifolds in a form suitable for applied mathematicians, scientists and engineers.

Digital geometry emerged as an independent discipline in the second half of the last century.

This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds.

A lucid and concise account of the classification of algebraic surfaces.

Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.

Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces.

This book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion through a wide range of topics.

The importance of mathematics competitions has been widely recognised for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject.

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

für Julius Die Geometrie ist ein umfangreicher Bestandteil des Mathematikunterrichts in der Schule.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results.

Riemannian geometry is characterized, and research is oriented towards and shaped by concepts (geodesics, connections, curvature,.

Confusing Textbooks?

Dieses Buch entstand aus Vorlesungen über das Thema "Differentialgeometrie", die der Autor wiederholt und an verschiedenen Orten gehalten hat.

This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects.

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications.