Springer Monographs in Mathematics

Functional Analysis in Mechanics

Authors: Lebedev, Leonid P., Vorovich, Iosif I., Cloud, Michael J.

  •  The mathematical material is treated in a non-abstract manner and is fully illuminated by the underlying mechanical ideas
  •  The presentation is concise but complete, and is intended for specialists in continuum mechanics who wish to understand the mathematical underpinnings of the discipline
  • Exercises and examples are included throughout with detailed solutions provided in the appendix
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  • ISBN 978-1-4614-5868-5
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Hardcover $149.00
price for USA
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  • ISBN 978-1-4614-5867-8
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Softcover $149.00
price for USA
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  • ISBN 978-1-4899-9756-2
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About this book

This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical notions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects.

 

This second edition includes more extended coverage of the classical and abstract portions of functional analysis. Taken together, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exercises with hints and solutions. A new appendix, providing a convenient listing of essential inequalities and imbedding results, has been added.

 

The book should appeal to graduate students and researchers in physics, engineering, and applied mathematics.

 

Reviews of first edition:

 

"This book covers functional analysis and its applications to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics who wish to understand the mathematical underpinnings of the discipline. … Detailed solutions of the exercises are provided in an appendix." (L’Enseignment Mathematique, Vol. 49 (1-2), 2003)

 

"The reader comes away with a profound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood. Numerous exercises … test the reader’s comprehension at every stage. Summing Up: Recommended." (F. E. J. Linton, Choice, September, 2003)

Table of contents (4 chapters)

  • Metric, Banach, and Hilbert Spaces

    Lebedev, Leonid P. (et al.)

    Pages 9-113

  • Mechanics Problems from the Functional Analysis Viewpoint

    Lebedev, Leonid P. (et al.)

    Pages 115-175

  • Some Spectral Problems of Mechanics

    Lebedev, Leonid P. (et al.)

    Pages 177-224

  • Elements of Nonlinear Functional Analysis

    Lebedev, Leonid P. (et al.)

    Pages 225-264

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-5868-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4614-5867-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4899-9756-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Functional Analysis in Mechanics
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-5868-5
DOI
10.1007/978-1-4614-5868-5
Hardcover ISBN
978-1-4614-5867-8
Softcover ISBN
978-1-4899-9756-2
Series ISSN
1439-7382
Edition Number
2
Number of Pages
X, 310
Topics