WorldCat Identities

Rund, Hanno

Overview
Works: 22 works in 120 publications in 6 languages and 2,044 library holdings
Genres: Bibliography 
Roles: Author, Editor
Classifications: QA433, 515.63
Publication Timeline
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Most widely held works by Hanno Rund
Tensors, differential forms, and variational principles by David Lovelock( Book )

31 editions published between 1975 and 1989 in English and held by 704 WorldCat member libraries worldwide

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
The differential geometry of Finsler spaces by Hanno Rund( Book )

24 editions published between 1959 and 2013 in 4 languages and held by 497 WorldCat member libraries worldwide

The present monograph is motivated by two distinct aims. Firstly, an endeavour has been made to furnish a reasonably comprehensive account of the theory of Finsler spaces based on the methods of classical differential geometry. Secondly, it is hoped that this monograph may serve also as an introduction to a branch of differential geometry which is closely related to various topics in theoretical physics, notably analytical dynamics and geometrical optics. With this second object in mind, an attempt has been made to describe the basic aspects of the theory in some detail - even at the expense of conciseness - while in the more specialised sections of the later chapters, which might be of interest chiefly to the specialist, a more succinct style has been adopted. The fact that there exist several fundamentally different points of view with regard to Finsler geometry has rendered the task of writing a coherent account a rather difficult one. This remark is relevant not only to the development of the subject on the basis of the tensor calculus, but is applicable in an even wider sense. The extensive work of H. BUSEMANN has opened up new avenues of approach to Finsler geometry which are independent of the methods of classical tensor analysis. In the latter sense, therefore, a full description of this approach does not fall within the scope of this treatise, although its fundamental l significance cannot be doubted
Invariant theory of variational problems on subspaces of a Riemannian manifold by Hanno Rund( Book )

8 editions published in 1971 in English and German and held by 149 WorldCat member libraries worldwide

Generalized connections and gauge fields on fibre bundles by Hanno Rund( Book )

5 editions published in 1981 in English and held by 51 WorldCat member libraries worldwide

Topics in differential geometry in memory of Evan Tom Davies by Hanno Rund( Book )

19 editions published in 1976 in English and Undetermined and held by 51 WorldCat member libraries worldwide

Topics in Differential Geometry
The world-view of modern theoretical physics by Hanno Rund( Book )

11 editions published in 1962 in English and held by 30 WorldCat member libraries worldwide

Inleiding tot die algebra en analise vir voorgraadse studente by Hanno Rund( Book )

3 editions published between 1970 and 1978 in Afrikaans and held by 23 WorldCat member libraries worldwide

Lectures on algebraic topology by Hanno Rund( Book )

2 editions published in 1993 in English and held by 16 WorldCat member libraries worldwide

The mathematical legacy of Hanno Rund( Book )

2 editions published in 1993 in English and held by 12 WorldCat member libraries worldwide

Variational properties of direction-dependent metric fields by Hanno Rund( Book )

2 editions published between 1970 and 1972 in English and held by 8 WorldCat member libraries worldwide

Tensors, differential forms and variational principles by David Lovelock( )

1 edition published in 1975 in English and held by 4 WorldCat member libraries worldwide

The Hamilton-Jacobi theory in the calculus of variations : its role in mathematics and physics by Hanno Rund( )

1 edition published in 1973 in English and held by 2 WorldCat member libraries worldwide

Geometry of Finsler spaces considered as generalised Minkowskian spaces by Hanno Rund( Book )

2 editions published in 1950 in English and held by 2 WorldCat member libraries worldwide

Geometry of Finsler spaces considered as generalized Minkowskian spaces by Hanno Rund( Book )

1 edition published in 1950 in Undetermined and held by 1 WorldCat member library worldwide

Applied mathematics (Honours) : only guide for DGGFOO-N (Differential geometry of gauge fields) by Hanno Rund( Book )

1 edition published in 1982 in English and held by 1 WorldCat member library worldwide

Tensors, Differential Forms, and Variational Principles by David Lovelock( )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

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 profound importance to all physical field theories.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 {u2014} departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts.The treatment of the calculus of variations of single and multiple integrals is based ab initio on Carathéodory's method of equivalent integrals. Subsequent material explores the effects of invariance postulates on variational principles, focusing ultimately on relativistic field theories. Other discussions include:{u2022} integral invariants{u2022} simple and direct derivations of Noether's theorems{u2022} Riemannian spaces with indefinite metricsThe emphasis in this book is on analytical techniques, with abundant problems, ranging from routine manipulative exercises to technically difficult problems encountered by those using tensor techniques in research activities. A special effort has been made to collect many useful results of a technical nature, not generally discussed in the standard literature. The Appendix, newly revised and enlarged for the Dover edition, presents a reformulation of the principal concepts of the main text within the terminology of current global differential geometry, thus bridging the gap between classical tensor analysis and the fundamentals of more recent global theories
The Thai bureaucracy : institutional change and development by Hanno Rund( Book )

in English and held by 1 WorldCat member library worldwide

Differentsial'naia geometriia Finslerovykh prostranstv by Hanno Rund( Book )

1 edition published in 1981 in Russian and held by 1 WorldCat member library worldwide

Application des méthodes de la géométrie métrique généralisée à la dynamique théorique by Hanno Rund( Book )

1 edition published in 1953 in French and held by 1 WorldCat member library worldwide

The Halmilton-Jacobi theory in the calculus of variations by Hanno Rund( Book )

in English and held by 1 WorldCat member library worldwide

 
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Audience level: 0.63 (from 0.24 for Tensors, D ... to 0.96 for Applicatio ...)

Tensors, differential forms, and variational principles
Alternative Names
Hanno Rund South African mathematician

Rund, Ch.

Rund, H.

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