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Tuesday, May 19, 2020 | History

9 edition of Tensors, differential forms, and variational principles found in the catalog.

Tensors, differential forms, and variational principles

by David Lovelock

  • 1 Want to read
  • 3 Currently reading

Published by Dover in New York .
Written in English

    Subjects:
  • Calculus of tensors,
  • Differential forms,
  • Calculus of variations

  • Edition Notes

    Statementby David Lovelock and Hanno Rund.
    ContributionsRund, Hanno.
    Classifications
    LC ClassificationsQA433 .L67 1989
    The Physical Object
    Paginationxi, 366 p. :
    Number of Pages366
    ID Numbers
    Open LibraryOL2053132M
    ISBN 100486658406
    LC Control Number88031014

    Books shelved as differential-geometry: Differential Geometry of Curves and Surfaces by Manfredo P. A Visual Introduction to Differential Forms and Calculus on Manifolds (Hardcover) by. Jon Pierre Fortney (shelved 1 time as differential-geometry) Tensors, Differential Forms, and Variational Principles (Paperback) by. David Lovelock. Hanno Rund is the author of The Differential Geometry of Finsler Spaces ( avg rating, 0 ratings, 0 reviews, published ), Generalized Connections A /5(27).

    This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. A self-contained development of the theory constitutes the central part of the book. Topics include categories and functions, sheaves and cohomology, fiber and vector bundles, and cohomology classes and differential forms. edition. Eminently readable and completely elementary, this treatment begins with linear spaces and ends with analytic geometry. Additional topics include multilinear forms, tensors, linear transformation, eigenvectors and eigenvalues, matrix polynomials, and more. More than carefully chosen problems appear throughout the book, most with hints and answers. edition.

    Books. Lovelock, David; Rund, Hanno (), Tensors, Differential Forms, and Variational Principles, Dover, ISBN External links. David Lovelock at the Mathematics Genealogy Project; David Lovelock Personal Home PageDoctoral advisor: Hanno Rund. Part I of this classic work offers a rigorous presentation of tensor calculus as a development of vector analysis. Part II discusses the most important applications of tensor calculus, including the use of tensors in classical analytical dynamics and the role of tensors in special relativity. A concluding section examines field equations of general relativity theory. edition.


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Tensors, differential forms, and variational principles by David Lovelock Download PDF EPUB FB2

Tensors are generalizations of vectors to any number of dimensions (vectors are type (1,0) tensors, diff. forms are type (0,1) tensors). One of the key principles of General Relativity is that if physical laws are expressed in tensor form, then they are independent of local coordinate systems, and Cited by: The first pages of "Tensors, differential forms, and variational principles", by David Lovelock and Hanno Rund, are metric-free.

This book is very heavily into tensor subscripts and superscripts. If you don't like "coordinates", you won't like this book. Here's a round-up of the chapters/5(32).

Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions. This enables the reader to infer generalized principles from concrete situations — departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts/5(26).

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.

The first pages of "Tensors, differential forms, and variational principles", by David Lovelock and Hanno Rund, are metric-free. This book is very heavily into tensor subscripts and superscripts. If you don't like "coordinates", you won't like this book.

Here's a round-up of the chapters.4/5(31). Tensors are generalizations of vectors to any number of dimensions (vectors are type (1,0) tensors, diff. forms are type (0,1) tensors). One of the key principles of General Relativity is that if physical laws are expressed in tensor form, then they are independent of local coordinate systems, and /5.

Description of the book "Tensors, Differential Forms and Variational Principles": 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.

Tensors, Differential Forms, and Variational Principles 作者: David Lovelock / Hanno Rund 出版社: Dover Publications 出版年: 页数: 定价: USD 装帧: Paperback 丛书: Dover Books. Part of the Undergraduate Texts in Mathematics book series (UTM) Abstract. In the previous chapter, we emphasized the central role of the tangent space in differential geometry.

The Variational Principles of Mechanics, 4th edn. Dover, New York () Differential Forms and Tensors. In: First Steps in Differential Geometry. Undergraduate Author: Andrew McInerney. The first pages of "Tensors, differential forms, and variational principles", by David Lovelock and Hanno Rund, are metric-free.

This book is very heavily into tensor subscripts and superscripts. If you don't like "coordinates", you won't like this book. Here's a round-up of the chapters/5(42). Audio Books & Poetry Community Audio Computers, Technology and Science Music, Full text of "Tensors, Differential Forms And Variational Principles Lovelock Rund.

The first pages of "Tensors, differential forms, and variational principles", by David Lovelock and Hanno Rund, are metric-free. This book is very heavily into tensor subscripts and superscripts. If you don't like "coordinates", you won't like this book.

Here's a round-up of the chapters/5(40). Tensors, Differential Forms And Variational Principles Lovelock Rund () Dover Item Preview. These forms are tensors of 2nd order. Akl is a contravariant tensor, A kl is a covariant tensor, and Ak l is a mixed tensor.

Note that there are n 2 elements in each tensor. The Kronecker delta, δk j, is a mixed tensor of 2 nd order. δk l = ∂x′k ∂xj ∂xj ∂x′l Tensors of any order may be constructed in a similar Size: KB.

Buy Tensors, Differential Forms, and Variational Principles by David Lovelock, Hanno Rund (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(3).

Tensors, Differential Forms and Variational Principles by David Lovelock,available at Book Depository with free delivery worldwide/5(26). Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions.

This enables the reader to infer generalized principles from concrete situations — departing from the traditional approach to tensors and. Using Differential Forms to Solve Differential Equations First, we will introduce a few classi cations of di erential forms.

De nition A di erential 1-form!is exact if there exists f2C1(Rn) such that df=!. De nition A di erential 1-form!is closed if d!= 0. Now, a few useful facts: Lemma If a di erential 1-form is exact, it. Buy Differential Forms with Applications to the Physical Sciences (Dover Books on Mathematics) New edition by Harley Flanders (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible orders/5(19). Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions.

This enables the reader to infer generalized principles from concrete situations — departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts.5/5. The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians.

In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of.Addressed to 2nd- and 3rd-year students, this work by a world-famous teacher skillfully spans the pure and applied branches, so that applied aspects gain in rigor while pure mathematics loses none of its dignity.

Equally essential as a text, a reference, or simply .Difierential Forms and Electromagnetic Field Theory Karl F. Warnick1, * and Peter Russer2 (Invited Paper) Abstract|Mathematical frameworks for representing flelds and waves and expressing Maxwell’s equations of electromagnetism include vector calculus, difierential forms, dyadics, bivectors, tensors, quaternions, and Clifiord algebras.