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From Frenet to Cartan

Cartan, and its development continues today with the work of Fels, Olver, and others. This book is an introduction to the method of moving;

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Differential Geometry

Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the;

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Covariance and Gauge Invariance in Continuum Physics

This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity;

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Introduction to Riemannian Manifolds

relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose;

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Introduction to Riemannian Manifolds

relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose;

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Oeuvres - Collected Works II

, with a few exceptions, all further papers of H. Cartan; among them is a reproduction of exposes 2 to 11 of his 1954/55 Seminar on Eilenberg;

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Elie Cartan and Albert Einstein - Letters on Absolute Parallelism, 1929-1932

Cartan includes letters written between 1929 and 1932, after which time Einstein abandoned his unified field theory based on absolute parallelism;

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Elie Cartan and Albert Einstein - Letters on Absolute Parallelism, 1929-1932

Cartan includes letters written between 1929 and 1932, after which time Einstein abandoned his unified field theory based on absolute parallelism;

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Parabolic Geometries I

description of the Cartan connection in terms of data associated to the underlying geometry. Several applications are discussed throughout the text.;

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Riemannian Manifolds

theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnets Theorem, and a special case of the Cartan;

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An Introduction to Lagrangian Mechanics

-corrected projectile motion are presented, where the Frenet-Serret torsion is shown to be directly related to the Coriolis deflection, and a new;

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An Introduction to Lagrangian Mechanics

-corrected projectile motion are presented, where the Frenet-Serret torsion is shown to be directly related to the Coriolis deflection, and a new;

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Hopf Algebras and Root Systems

main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and;

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Introduction to Holomorphic Functions of Several Variables

Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory;

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Introduction to Holomorphic Functions of Several Variables

Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory;

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Introduction to Holomorphic Functions of Several Variables

Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory;

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Differential Geometry: A First Course

Differential Geometry: A First Course is an introduction to the classical theory of space curves and surfaces offered at the Graduate and;

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Collected Papers

From the German preface of R. Remmert: When kings build their kingdom, there is work for the draymen. Kiyoshi Oka was a king. His kingdom;

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Semisimple Lie Algebras

This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie;

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Semisimple Lie Algebras

This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie;

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Lectures on Lie Groups

the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and;

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Lectures on Lie Groups

the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and;

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Analysis on Manifolds and Fibre Bundles

The aim of this book is to acquaint students with the basic concepts of the subject to help them in their studies of Riemannian geometry;

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Recueil d'Exercices Sur Le Calcul Infinitesimal

auditeurs des cours de mathematiques dans les facultes des sciences / par M. F. Frenet, ...Date de l'edition originale: 1856Sujet de l'ouvrage;

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Dynamic Geometry on Time Scales

This book introduces plane curves on time scales. They are deducted the Frenet equations for plane and space curves. In the book;

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Curvature in Mathematics and Physics

and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool.

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Differential Geometry

This introduction to differential geometry is now available in paperback. Stoker makes this fertile branch of mathematics accessible to the;

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