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
.
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, selfcontained 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
31 editions published between 1975 and 1989 in English and held by 704 WorldCat member libraries worldwide
Incisive, selfcontained 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
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
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
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
19 editions published in 1976 in English and Undetermined and held by 51 WorldCat member libraries worldwide
Topics in Differential Geometry
The worldview of modern theoretical physics by
Hanno Rund(
Book
)
11 editions published in 1962 in English and held by 30 WorldCat member libraries worldwide
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
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
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
2 editions published in 1993 in English and held by 12 WorldCat member libraries worldwide
Variational properties of directiondependent metric fields by
Hanno Rund(
Book
)
2 editions published between 1970 and 1972 in English and held by 8 WorldCat member libraries worldwide
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
1 edition published in 1975 in English and held by 4 WorldCat member libraries worldwide
The HamiltonJacobi 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
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
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
1 edition published in 1950 in Undetermined and held by 1 WorldCat member library worldwide
Applied mathematics (Honours) : only guide for DGGFOON (Differential geometry of gauge fields) by
Hanno Rund(
Book
)
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
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 selfcontained, 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 differentialgeometric 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
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
The aim of this book is to present a selfcontained, 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 differentialgeometric 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
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
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
1 edition published in 1953 in French and held by 1 WorldCat member library worldwide
The HalmiltonJacobi theory in the calculus of variations by
Hanno Rund(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Lovelock, David 1938 Author
 Forbes, William F. Editor
 Davies, Evan Tom 19041973 Honoree
 Davies, Evan Tom Dedicatee
 Kadeisvili, J. V. (J. Vladimir) 1959
 Van Der Mark, J.
 Grasser, H. S. P.
 Van der Merwe, J. H.
 Beare, Jonathan H.
 Rund, Hanno Mathematician, Physicist, Germany, South Africa, United States 1925  1993
Associated Subjects
Algebra Algebraic fields Algebraic topology Calculus of tensors Calculus of variations Connections (Mathematics) Differential forms Fiber bundles (Mathematics) Fiber spaces (Mathematics) Field theory (Physics) Finsler spaces Gauge fields (Physics) Generalized spaces Geometry, Differential Invariants Mathematical analysis Mathematics PhysicsPhilosophy Riemannian manifolds Rund, Hanno Unified field theories