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Fundamentals of Differential Geometry, Serge Lang


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Автор: Serge Lang
Название:  Fundamentals of Differential Geometry
ISBN: 9781461268109
Издательство: Springer
Классификация:

ISBN-10: 1461268109
Обложка/Формат: Paperback
Страницы: 540
Вес: 0.78 кг.
Дата издания: 05.10.2012
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 29
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The present book aims to give a fairly comprehensive account of the fundamentals of differential manifolds and differential geometry. The size of the book influenced where to stop, and there would be enough material for a second volume (this is not a threat). At the most basic level, the book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. In differential topology, one studies for instance homotopy classes of maps and the possibility of finding suitable differen- tiable maps in them (immersions, embeddings, isomorphisms, etc. ). One may also use differentiable structures on topological manifolds to deter- mine the topological structure of the manifold (for example, it la Smale Sm 67]). In differential geometry, one puts an additional structure on the differentiable manifold (a vector field, a spray, a 2-form, a Riemannian metric, ad lib. ) and studies properties connected especially with these objects. Formally, one may say that one studies properties invariant under the group of differentiable automorphisms which preserve the additional structure. In differential equations, one studies vector fields and their in- tegral curves, singular points, stable and unstable manifolds, etc. A certain number of concepts are essential for all three, and are so basic and elementary that it is worthwhile to collect them together so that more advanced expositions can be given without having to start from the very beginnings.


Differential forms

Автор: Weintraub, Steven
Название: Differential forms
ISBN: 0123944031 ISBN-13(EAN): 9780123944030
Издательство: Elsevier Science
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Цена: 14820.00 р.
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Описание: Offers many examples of computations and research applications across the fields of applied mathematics, engineering, and physics. This title provides a solid theoretical basis of how to develop and apply differential forms to real research problems. It includes computational methods for graphical results essential for math modeling.

Differential Equations for Engineers

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Цена: 9504.00 р.
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Metric Structures in Differential Geometry

Автор: Gerard Walschap
Название: Metric Structures in Differential Geometry
ISBN: 1441919139 ISBN-13(EAN): 9781441919137
Издательство: Springer
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Цена: 8798.00 р.
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Описание: This text is an elementary introduction to differential geometry. Although it was written for a graduate-level audience, the only requisite is a solid back- ground in calculus, linear algebra, and basic point-set topology. The first chapter covers the fundamentals of differentiable manifolds that are the bread and butter of differential geometry. All the usual topics are cov- ered, culminating in Stokes' theorem together with some applications. The stu- dents' first contact with the subject can be overwhelming because of the wealth of abstract definitions involved, so examples have been stressed throughout. One concept, for instance, that students often find confusing is the definition of tangent vectors. They are first told that these are derivations on certain equiv- alence classes of functions, but later that the tangent space of ffi.n is "the same" n as ffi. . We have tried to keep these spaces separate and to carefully explain how a vector space E is canonically isomorphic to its tangent space at a point. This subtle distinction becomes essential when later discussing the vertical bundle of a given vector bundle.

Differential Equations - Geometry, Symmetries and Integrability

Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume
Название: Differential Equations - Geometry, Symmetries and Integrability
ISBN: 3642008720 ISBN-13(EAN): 9783642008726
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. This title consists of original contributions and overview lectures of the participants of the Symposium. It includes papers that present the modern approach to this classical subject.

A Computational Differential Geometry Approach to Grid Generation

Автор: Vladimir D. Liseikin
Название: A Computational Differential Geometry Approach to Grid Generation
ISBN: 3642070620 ISBN-13(EAN): 9783642070624
Издательство: Springer
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Цена: 16977.00 р.
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Описание: The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems.

Trends In Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of 9Th International Workshop On Complex Structures, Integrability And Vector Fields

Автор: Sekigawa Kouei Et Al
Название: Trends In Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of 9Th International Workshop On Complex Structures, Integrability And Vector Fields
ISBN: 9814277711 ISBN-13(EAN): 9789814277716
Издательство: World Scientific Publishing
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Цена: 17424.00 р.
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Описание: Offers information for researchers in complex analysis, differential geometry and mathematical physics. This book contains various developments and trends in the studies on constructions of holomorphic Cliffordian functions; and, the swelling constructions of minimal surfaces with higher genus in flat tori.

Stochastic equations and differential geometry

Автор: Belopolskaya, Y. I. Dalecky, Yu. L.
Название: Stochastic equations and differential geometry
ISBN: 9401074933 ISBN-13(EAN): 9789401074933
Издательство: Springer
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Цена: 13275.00 р.
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Nonlinear Partial Differential Equations in Geometry and Physics

Автор: Garth Baker; Alexandre Freire
Название: Nonlinear Partial Differential Equations in Geometry and Physics
ISBN: 3034898185 ISBN-13(EAN): 9783034898188
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This volume presents the proceedings of a series of lectures hosted by the Math- ematics Department of The University of Tennessee, Knoxville, March 22-24, 1995, under the title "Nonlinear Partial Differential Equations in Geometry and Physics" .

Differential Geometry of Three Dimensions

Автор: Weatherburn
Название: Differential Geometry of Three Dimensions
ISBN: 1316606953 ISBN-13(EAN): 9781316606957
Издательство: Cambridge Academ
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Цена: 5702.00 р.
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Описание: Originally published in 1930, as the second of a two-part set, this informative and systematically organized textbook, primarily aimed at university students, contains a vectorial treatment of geometry, reasoning that by the use of such vector methods, geometry is able to be both simplified and condensed.

Differential and Complex Geometry: Origins, Abstractions and Embeddings

Автор: Raymond O. Wells, Jr.
Название: Differential and Complex Geometry: Origins, Abstractions and Embeddings
ISBN: 331958183X ISBN-13(EAN): 9783319581835
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century.
Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash.
Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.

Geometry and Arithmetic Around Euler Partial Differential Equations

Автор: R.-P. Holzapfel
Название: Geometry and Arithmetic Around Euler Partial Differential Equations
ISBN: 902771827X ISBN-13(EAN): 9789027718273
Издательство: Springer
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Цена: 10760.00 р.
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Painleve Equations in the Differential Geometry of Surfaces

Автор: Alexander I. Bobenko TU Berlin; Ulrich Eitner
Название: Painleve Equations in the Differential Geometry of Surfaces
ISBN: 3540414142 ISBN-13(EAN): 9783540414148
Издательство: Springer
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Цена: 4884.00 р.
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