Geometry

This contributed volume includes chapters written by leading experts from around the world and provides a thorough and up-to-date exploration of geometric inequalities and their far-reaching applications.

This contributed volume includes chapters written by leading experts from around the world and provides a thorough and up-to-date exploration of geometric inequalities and their far-reaching applications.

This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications.

This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications.

This book provides students with the essentials needed for a semester-long, introductory course in materials science presented in a novel way.

This book provides students with the essentials needed for a semester-long, introductory course in materials science presented in a novel way.

Los Elementos de Euclides es una de las escasisimas obras antiguas que puede presumir de haber constituido, casi de golpe, la base sobre la que se ha levantado toda una ciencia, en este caso la geometria y la aritmetica, al menos desde el siglo III a.

The work is an exploration to geometry that transcends traditional approaches, placing Felix Klein's transformative Erlangen Program firmly at its heart.

The work is an exploration to geometry that transcends traditional approaches, placing Felix Klein's transformative Erlangen Program firmly at its heart.

This book provides an introduction to 3D rotations, laying the foundation for advanced topics by covering the fundamentals of rotations in three dimensions.

This book provides an introduction to 3D rotations, laying the foundation for advanced topics by covering the fundamentals of rotations in three dimensions.

This book provides the very first comprehensive and self-contained introduction to hedgehog theory, which is born of the desire to visualize the formal differences of convex bodies.

This book provides the very first comprehensive and self-contained introduction to hedgehog theory, which is born of the desire to visualize the formal differences of convex bodies.

Trigonometry: From Theory to Application introduces the basics of trigonometry and key areas of practice, fully considering in straightforward, pragmatic terms the characterization of triangles, coordinate transport, and coordinate systems, with emphasis on interpreting key concepts and applying them.

This contributed volume collects articles by specialists in submanifold theory, geometric analysis, and Riemannian geometry, with contributors from four continents.

This contributed volume collects articles by specialists in submanifold theory, geometric analysis, and Riemannian geometry, with contributors from four continents.

This volume deals with the theory of finite topological spaces and itsrelationship with the homotopy and simple homotopy theory of polyhedra.

The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type.

Intersection cohomology assigns groups which satisfy a generalized form of Poincare duality over the rationals to a stratified singular space.

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Lectures: T.

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 10th - 26th July, 1995.

This volume grew out of a series of preprints which were written and circulated - tween 1993 and 1994.

Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration.

Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups.

By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields.

Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years.

Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks.

Hofstadter's Law: It always takes longer than you think it will take, even if you take into account Hofstadter's Law.

This book contains the notes of five short courses delivered at the "e;Centro Internazionale Matematico Estivo"e; session "e;Integral Geometry, Radon Transforms and Complex Analysis"e; held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems.

This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research.

The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity.

In the fall of 1994, Edward Witten proposed a set of equations which give the main results of Donaldson theory in a far simpler way than had been thought possible.

The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry.

This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory.

Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed.

Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties.

The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996.

The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface.

This volume is dedicated to the memory of Harry Ernest Rauch, who died suddenly on June 18, 1979.

The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990.

Visualization and mathematics have begun a fruitful relationship, establishing links between problems and solutions of both fields.

This volume of original research papers from the Israeli GAFA seminar during the years 1996-2000 not only reports on more traditional directions of Geometric Functional Analysis, but also reflects on some of the recent new trends in Banach Space Theory and related topics.

The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent.