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Schwarz's Lemma From A Differential Geometric Viewpoint

than a hundred years to date. This volume of lecture notes focuses on its differential geometric developments by several excellent authors;

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Differential Geometry From A Singularity Theory Viewpoint

Differential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential;

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The Schwarz Lemma

, the treatment proves a Schwarz lemma for plurisubharmonic functions and discusses the basic properties of the Poincaré distance and the;

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Handbook of Geometric Analysis, No. 1

differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Ampere equation. Applications to;

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Differential Geometry in the Large

differential geometry, geometric analysis and differential topology. The two-week programme featured talks from prominent keynote speakers from across;

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Arithmetic L-Functions and Differential Geometric Methods

Geometric Methods that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from original surveys to pure;

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Geometric Approach To Differential Forms

This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts;

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Topological, Differential and Conformal Geometry of Surfaces

theory of Riemann surfaces. It first covers the prerequisites, including the basics of differential forms, the Poincare Lemma, the Morse Lemma;

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A Course in Differential Geometry and Lie Groups

, integration on manifolds and basic differential and Riemannian geometry. The author emphasizes geometric concepts, giving the reader a working;

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Selected Papers from the Journal of Differential Geometry 1967-2017, 5 Volume Set

geometry, the third with geometric ideas, the fourth with geometric analysis, and the fifth with geometric flows. These five volumes provide a;

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Guide To Lie Systems With Compatible Geometric Structures, A

The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development;

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Control Theory from the Geometric Viewpoint

This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly;

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The Schwarz Function And Its Generalization To Higher Dimensions

function, favouring a mode of treatment which unites the subject with modern theory of distributions and partial differential equations - thus;

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An Excursion Through Discrete Differential Geometry

translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to;

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Symmetrization And Applications

of weak solutions of elliptic partial differential equations in Sobolev spaces is, however, assumed. Apart from this and a general mathematical;

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Geometry, Mechanics, and Dynamics

mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric;

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Differential Geometry And Its Applications - Proceedings Of The 10th International Conference On Dga2007

analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007;

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Synthetic Geometry Of Manifolds

in differential geometry, namely 'prolongation spaces' or neighbourhoods of the diagonal. These spaces enable a natural description of some of the basic;

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Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

of periods. As is known, these equations cannot be solved efficiently using conventional methods. A further study of novel geometric integrators has;

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Geometric Measure Theory and Free Boundary Problems

This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free;

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Differential Geometry and Statistics

of higher-order differential geometry. It gives some new explanations of geometric ideas from a first principles point of view as far as geometry;

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Geometric Mechanics - Part I: Dynamics And Symmetry (2nd Edition)

fundamental problems of dynamical systems from the viewpoint of Lie group symmetry in variational principles. The only prerequisites are linear;

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A Concise Introduction to Geometric Numerical Integration

, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from;

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Advances in Inequalities of the Schwarz, Triangle & Heisenberg Type in Inner Product Space

The purpose of this book is to give a comprehensive introduction to several inequalities in Inner Product Spaces that have important;

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Geometric Analysis

differential equations is assumed. Originating from the author's own lectures, this book is an ideal introduction for graduate students, as well as a;

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Geometric Linear Algebra (Volume 1)

This accessible book for beginners uses intuitive geometric concepts to create abstract algebraic theory with a special emphasis on;

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