Winner Euler Book Prize awarded by the Mathematical Association of America. With over 200 full color photographs this non-traditional tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry art na... Lees meer.

This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineer... Lees meer.

Written for graduate students this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metric... Lees meer.

Second volume of a highly regarded two-volume set fully usable on its own examines physical systems that can usefully be modeled by equations of the first order. Examples are drawn from a wide range of scientific and engineering disciplines. The book begins with a con... Lees meer.

In his recent research the author set the ground for investigating hyperbolic triangle centers via hyperbolic barycentric coordinates and one of the purposes of this book is to initiate a study of hyperbolic triangle centers in full analogy with the rich study of Eucl... Lees meer.

Winner Euler Book Prize awarded by the Mathematical Association of America. With over 200 full color photographs this non-traditional tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry art na... Lees meer.

This book first published in 2002 contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution including both linear problems and nonlinear conservation laws. These equations describe... Lees meer.

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We live in a three-dimensional space what sort of space is it. Can we build it from simple geometric objects. The answers to such questions have been found in the last 30 years and Outer Circles describes the basic mathematics needed for those answers as well as mak... Lees meer.

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This book is devoted to the global existence uniqueness and asymptotic behaviour of smooth solutions to nonlinear parabolic equations and nonlinear hyperbolic-parabolic coupled systems for both small and large initial data. It presents concepts and facts about Sobolev... Lees meer.

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Vojta has made quantitative conjectures by relating the Second Main Theorem of Nevan linna theory to the theory of heights and he has conjectured bounds on heights stemming from inequalities having to do with diophantine approximations and implying both classical and... Lees meer.

This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. The reader is assumed to have a basic knowledge of algebra and topology at the first year graduate level of an American un... Lees meer.

An exposition of hyperbolic functional differential inequalities and their applications. It aims to give a presentation of developments in the following problems. functional differential inequalities generated by initial and mixed problems existence theory of local an... Lees meer.