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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.
Differential Geometry
14 October 2010

Differential Geometry
Differential Geometry
378 pages | Dec 12, 2007 |ISBN:0486634337 | PDF | 8 Mb

Designed for advanced undergraduate or beginning graduate study, this text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; and development of the method of integral formulas for global differential geometry.
A Course In Differential Geometry
22 May 2010

A Course in Differential Geometry
A Course in Differential Geometry
American Mathematical Society | 2000 | ISBN: 082182709X | 184 pages | PDF | 6,6 MB

This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. Chapter I explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. Chapter II deals with vector fields and differential forms. Chapter III addresses integration of vector fields and $p$-plane fields.
Conformal Differential Geometry and Its Generalizations
22 May 2010

Conformal Differential Geometry and Its Generalizations
Conformal Differential Geometry and Its Generalizations
Wiley-Interscience | 1996 | ISBN: 0471149586 | 400 pages | PDF | 5,5 MB

Conformal Differential Geometry and Its Generalizations is the first and only text that systematically presents the foundations and manifestations of conformal differential geometry. It offers the first unified presentation of the subject, which was established more than a century ago. The text is divided into seven chapters, each containing figures, formulas, and historical and bibliographical notes, while numerous examples elucidate the necessary theory.
Complex and Differential Geometry
11 July 2014

Complex and Differential Geometry
Wolfgang Ebeling, Klaus Hulek, Knut Smoczyk - Complex and Differential Geometry
Published: 2011-06-29 | ISBN: 3642202993, 3642269001 | PDF | 422 pages | 3 MB

This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universitat Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists from differential geometry and (complex) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.
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....
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. ...
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.
Elementary Differential Geometry Second Edition
7 April 2010

Elementary Differential Geometry, Second Edition


Elementary Differential Geometry, Second Edition
Springer | 2009-10-30 | ISBN: 184882890X | 395 pages | PDF | 21 MB


Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates.
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. ...