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Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds, Uwe M?hlich


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Автор: Uwe M?hlich
Название:  Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds
ISBN: 9783319562636
Издательство: Springer
Классификация:






ISBN-10: 3319562630
Обложка/Формат: Hardcover
Страницы: 125
Вес: 0.38 кг.
Дата издания: 25.04.2017
Серия: Solid Mechanics and Its Applications
Язык: English
Издание: 1st ed. 2017
Иллюстрации: 10 tables, black and white; 23 illustrations, black and white; xii, 125 p. 23 illus.
Размер: 234 x 156 x 10
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

1 Introduction.- 2 Notes on point set topology.- 3 The finite dimensional real vector space.- 4 Tensor Algebra.- 5 Affine space and euclidean space.- 6 Tensor analysis in euclidean space.- 7 A primer on smooth manifolds.- B Further Reading.




Manifolds, Tensor Analysis, and Applications

Автор: Ralph Abraham; Jerrold E. Marsden; Tudor Ratiu
Название: Manifolds, Tensor Analysis, and Applications
ISBN: 1461269903 ISBN-13(EAN): 9781461269908
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book presents core material in nonlinear analysis, offering working knowledge of manifolds, dynamical systems, tensors and differential forms. Coverage includes Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory.

Smooth Manifolds

Автор: Sinha Rajinikant
Название: Smooth Manifolds
ISBN: 8132221036 ISBN-13(EAN): 9788132221036
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry.

Manifolds, Tensors, and Forms

Автор: Renteln
Название: Manifolds, Tensors, and Forms
ISBN: 1107042194 ISBN-13(EAN): 9781107042193
Издательство: Cambridge Academ
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Цена: 10771.00 р.
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Описание: Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book`s clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications.

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Автор: Masao Fukushima; Liqun Qi
Название: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 1441948058 ISBN-13(EAN): 9781441948052
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.

Lectures on the Geometry of Poisson Manifolds

Автор: Izu Vaisman
Название: Lectures on the Geometry of Poisson Manifolds
ISBN: 3034896492 ISBN-13(EAN): 9783034896498
Издательство: Springer
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Цена: 6986.00 р.
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Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations

Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 1461273072 ISBN-13(EAN): 9781461273073
Издательство: Springer
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Цена: 6986.00 р.
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Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.

Hamiltonian and Lagrangian Flows on Center Manifolds

Автор: Alexander Mielke
Название: Hamiltonian and Lagrangian Flows on Center Manifolds
ISBN: 354054710X ISBN-13(EAN): 9783540547105
Издательство: Springer
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Цена: 3492.00 р.
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Описание: The theory of center manifold reduction is studied in this monograph in the context of infinite-dimensional Hamiltonian and Lagrangian systems. The theory is also applied to elliptic variational problems on cylindrical domains.

Optimization algorithms on matrix manifolds

Автор: Absil, P.-a. Mahony, Robert Sepulchre, Rodolphe
Название: Optimization algorithms on matrix manifolds
ISBN: 0691132984 ISBN-13(EAN): 9780691132983
Издательство: Wiley
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Цена: 12355.00 р.
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Описание: Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It is of interest to applied mathematicians, and computer scientists.


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