Tensors, Differential Forms, and Variational Principles (Dover Books on Mathematics)

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9780486658407: Tensors, Differential Forms, and Variational Principles (Dover Books on Mathematics)

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 — 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:
· integral invariants
· simple and direct derivations of Noether's theorems
· Riemannian spaces with indefinite metrics
The 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.

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David Lovelock, Hanno Rund
Editore: Dover Publications Inc., United States (1989)
ISBN 10: 0486658406 ISBN 13: 9780486658407
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Descrizione libro Dover Publications Inc., United States, 1989. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. 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 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 Caratheodory 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: integral invariants simple and direct derivations of Noether s theorems Riemannian spaces with indefinite metrics The 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. Codice libro della libreria AA99780486658407

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Descrizione libro 1989. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486658407

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David Lovelock, Hanno Rund
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Descrizione libro Dover Publications Inc., United States, 1990. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. 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 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 Caratheodory 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: integral invariants simple and direct derivations of Noether s theorems Riemannian spaces with indefinite metrics The 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. Codice libro della libreria AA99780486658407

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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486658406

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Descrizione libro Paperback. Condizione libro: New. Codice libro della libreria 1172077

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Descrizione libro 1989. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486658407

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David Lovelock, Hanno Rund
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Descrizione libro Dover Publications Inc., United States, 1990. Paperback. Condizione libro: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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 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 Caratheodory 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: integral invariants simple and direct derivations of Noether s theorems Riemannian spaces with indefinite metrics The 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. Codice libro della libreria BTE9780486658407

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Lovelock, David; Rund, Hanno; Mathematics
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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486658406 *BRAND NEW* Ships Same Day or Next!. Codice libro della libreria NATARAJB1FI999166

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Descrizione libro Dover Publications, 1989. Paperback. Condizione libro: New. Codice libro della libreria 0486658406

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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486658406 Brand New! Not Overstocks or Low Quality Book Club Editions! Direct From the Publisher! We're not a giant, faceless warehouse organization! We're a small town bookstore that loves books and loves it's customers! Buy from us and you get great service as well as a great price! Your business is valued and your satisfaction is guaranteed!. Codice libro della libreria OTF-9780486658407

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