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Tensoren, Differentialformen und Variationsprinzipien (Dover Bücher über Mathematik...
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Tensoren, Differentialformen und Variationsprinzipien (Dover Bücher über Mathematik...

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    Artikelzustand
    Gut: Buch, das gelesen wurde, sich aber in einem guten Zustand befindet. Der Einband weist nur sehr ...
    Release Year
    1989
    Book Title
    Tensors, Differential Forms, and Variational Principles (Dover...
    ISBN
    9780486658407

    Über dieses Produkt

    Product Identifiers

    Publisher
    Dover Publications, Incorporated
    ISBN-10
    0486658406
    ISBN-13
    9780486658407
    eBay Product ID (ePID)
    497829

    Product Key Features

    Number of Pages
    400 Pages
    Publication Name
    Tensors, Differential Forms, and Variational Principles
    Language
    English
    Publication Year
    1989
    Subject
    Calculus, Vector Analysis
    Features
    New Edition
    Type
    Textbook
    Subject Area
    Mathematics
    Author
    Hanno Rund, David Lovelock
    Series
    Dover Books on Mathematics Ser.
    Format
    Trade Paperback

    Dimensions

    Item Height
    0.7 in
    Item Weight
    16.8 Oz
    Item Length
    8.5 in
    Item Width
    5.4 in

    Additional Product Features

    Intended Audience
    College Audience
    LCCN
    88-031014
    Dewey Edition
    18
    Illustrated
    Yes
    Dewey Decimal
    515.63
    Edition Description
    New Edition
    Synopsis
    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. Includes problems., 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., 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 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 Carath odory'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.
    LC Classification Number
    QA433.L67

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