differential geometry and tensors


differential geometry and tensors download


Direct Download differential geometry and tensors
differential geometry and tensors High Speed
Search results 70 Articles (Search results 1 - 10) :
Differential Geometry and Topology, Discrete and Computational Geometry
12 February 2011

Differential Geometry and Topology, Discrete and Computational Geometry

Differential Geometry and Topology, Discrete and Computational Geometry

2005 | 385 | ISBN: 158603507X | DJVU | 3 Mb

The aim of this volume is to give an introduction and overview to differential topology, differential geometry and computational geometry with an emphasis on some interconnections between these three domains of mathematics. The chapters give the background required to begin research in these fields or at their interfaces. They introduce new research domains and both old and new conjectures in these different subjects show some interaction between other sciences close to mathematics. Topics discussed are; the basis of differential topology and combinatorial topology, the link between differential geometry and topology, Riemanian geometry (Levi-Civita connextion, curvature tensor, geodesic, completeness and curvature tensor), characteristic classes (to associate every fibre bundle with isomorphic fiber bundles), the link between differential geometry and the geometry of non smooth objects, computational geometry and concrete applications such as structural geology and graphism....
Selected Works of Ellis Kolchin with Commentary
28 July 2010

Selected Works of Ellis Kolchin with Commentary
Selected Works of Ellis Kolchin with Commentary
American Mathematical Society 1999 | 639 | ISBN: 0821805428 | PDF | 10
The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting new applications in constructive symbolic computation, differential Galois theory, the model theory of fields, and Diophantine geometry. This volume assembles Kolchin's mathematical papers, contributing solidly to the archive on construction of modern differential algebra. This collection of Kolchin's clear and comprehensive papers--in themselves constituting a history of the subject--is an invaluable aid to the student of differential algebra. In 1910, Ritt created a theory of algebraic differential equations modeled not on the existing transcendental methods of Lie, but rather on the new algebra being developed by E. Noether and B. van der Waerden. Building on Ritt's foundation, and deeply influenced by Weil and Chevalley, Kolchin opened up Ritt theory to modern algebraic geometry. In so doing, he led differential geometry in a new direction. By creating differential algebraic geometry and the theory of differential algebraic groups, Kolchin provided the foundation for a ``new geometry'' that has led to both a striking and an original approach to arithmetic algebraic geometry. Intriguing possibilities were introduced for a new language for nonlinear differential equations theory. The volume includes commentary by A. Borel, M. Singer, and B. Poizat. Also Buium and Cassidy trace the development of Kolchin's ideas, from his important early work on the differential Galois theory to his later groundbreaking results on the theory of differential algebraic geometry and differential algebraic groups. Commentaries are self-contained with numerous examples of various aspects of differential algebra and its applications. Central topics of Kolchin's work are discussed, presenting the history of differential algebra and exploring how his work grew from and transformed the work of Ritt. New directions of differential algebra are illustrated, outlining important current advances. Prerequisite to understanding the text is a background at the beginning graduate level in algebra, specifically commutative algebra, the theory of field extensions, and Galois theory. ...
Nonlinear Partial Differential Equations in Differential Geometry, Volume 2
8 April 2011

Nonlinear Partial Differential Equations in Differential Geometry, Volume 2

Nonlinear Partial Differential Equations in Differential Geometry, Volume 2

1995 | 339 | ISBN: 0821804316 | DJVU | 6 Mb

What distinguishes differential geometry in the last half of the twentieth century from its earlier history is the use of nonlinear partial differential equations in the study of curved manifolds, submanifolds, mapping problems, and function theory on manifolds, among other topics. The differential equations appear as tools and as objects of study, with analytic and geometric advances fueling each other in the current explosion of progress in this area of geometry in the last twenty years. This book contains lecture notes of minicourses at the Regional Geometry Institute at Park City, Utah, in July 1992. Presented here are surveys of breaking developments in a number of areas of nonlinear partial differential equations in differential geometry. The authors of the articles are not only excellent expositors, but are also leaders in this field of research. All of the articles provide in-depth treatment of the topics and require few prerequisites and less background than current research articles. ...
Tensors, Differential Forms, and Variational Principles
30 May 2011

Tensors, Differential Forms, and Variational Principles
Tensors, Differential Forms, and Variational Principles
364 pages | Aug 31 2000 |ISBN: 0486658406 | PDF | 5.5 Mb

Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques, with large number of problems, from routine manipulative exercises to technically difficult assignments.
Linear Vector Spaces and Cartesian Tensors
3 August 2011

Linear Vector Spaces and Cartesian Tensors

Linear Vector Spaces and Cartesian Tensors

1998 | 128 | ISBN: 0195112547 | DJVU | 1 Mb

Linear Vector Spaces and Cartesian Tensors is primarily concerned with the theory of finite dimensional Euclidian spaces. It makes a careful distinction between real and complex spaces, with an emphasis on real spaces, and focuses on those elements of the theory that are especially important in applications to continuum mechanics. The geometric content of the theory and the distinction between matrices and tensors are emphasized, and absolute- and component-notation are both employed. While the mathematics is rigorous, the style is casual. ...
Discrete Differential Geometry
22 December 2010

Discrete Differential Geometry

Discrete Differential Geometry by Alexander I. Bobenko, Peter Schroder, John M. Sullivan, Gunter M. Ziegler

Birkhauser Basel | 2008 | ISBN: 3764386207 | 341 pages | PDF | 15 MB

Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key participants, gives a lively, multi-facetted introduction to this emerging field.
Applied Differential Geometry
24 January 2011

Applied Differential Geometry

Applied Differential Geometry

1985 | 436 | ISBN: 0521269296 | DJVU | 2 Mb

0521263174This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples. ...
Tensors and Their Applications
21 December 2010

Tensors and Their Applications

Tensors and Their Applications

2006 | 252 | ISBN: 8122418384 | PDF | 2 Mb

9788122427004Written in easy-to-read style with corresponding examples, this title aims to explain the fundamentals of Tensors and their applications to Mechanics, Elasticity, Theory of Relativity, Electromagnetic, Riemannian Geometry and many other disciplines of science and engineering. ...
Tensors and Their Applications
20 May 2011

Tensors and Their Applications

Tensors and Their Applications By Nazrul Islam

Publisher: New Age Publications 2006 | 252 Pages | ISBN: 8122418384, ISBN-13: 9788122427004 | PDF | 12 MB

Written in easy-to-read style with corresponding examples, this title aims to explain the fundamentals of Tensors and their applications to Mechanics, Elasticity, Theory of Relativity, Electromagnetic, Riemannian Geometry and many other disciplines of science and engineering.
New Approach to Differential Geometry using Clifford's Geometric Algebra
2 December 2013

New Approach to Differential Geometry using Clifford's Geometric Algebra
A New Approach to Differential Geometry using Clifford's Geometric Algebra
English | ISBN: 0817682821 | 2011 | PDF | 476 pages | 5,4 mb

Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra.