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Eine Einführung in die Differentialgeometrie mit Anwendungen auf Elastizität: Neu-
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eBay-Artikelnr.:403644694816
Artikelmerkmale
- Artikelzustand
- Book Title
- An Introduction to Differential Geometry with Applications to Ela
- Publication Date
- 2006-02-22
- Pages
- 209
- ISBN
- 9781402042478
Über dieses Produkt
Product Identifiers
Publisher
Springer Netherlands
ISBN-10
1402042477
ISBN-13
9781402042478
eBay Product ID (ePID)
50238072
Product Key Features
Number of Pages
VI, 209 Pages
Publication Name
Introduction to Differential Geometry with Applications to Elasticity
Language
English
Publication Year
2006
Subject
Engineering (General), Geometry / Differential, Mechanics / Statics, Mechanics / General, Applied
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Science
Format
Hardcover
Dimensions
Item Weight
37.4 Oz
Item Length
9.1 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
TitleLeading
An
Dewey Edition
22
Reviews
From the reviews:"This is a book about differential geometry and elasticity theory also published earlier as journal article. And, indeed it covers both subjects in a coextensive way that can not be found in any other book in the field. … the list of references containing more than 120 items is representative enough and the interested reader should be able to find them among these." (Ivailo Mladenov, Zentralblatt MATH, Vol. 1100 (2), 2007), From the reviews: "This is a book about differential geometry and elasticity theory also published earlier as journal article. And, indeed it covers both subjects in a coextensive way that can not be found in any other book in the field. 'e¦ the list of references containing more than 120 items is representative enough and the interested reader should be able to find them among these." (Ivailo Mladenov, Zentralblatt MATH, Vol. 1100 (2), 2007), From the reviews: "This is a book about differential geometry and elasticity theory also published earlier as journal article. And, indeed it covers both subjects in a coextensive way that can not be found in any other book in the field. ... the list of references containing more than 120 items is representative enough and the interested reader should be able to find them among these." (Ivailo Mladenov, Zentralblatt MATH, Vol. 1100 (2), 2007)
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.36
Table Of Content
Three-Dimensional Differential Geometry.- Differential Geometry of Surfaces.- Applications to Three-Dimensional Elasticity in Curvilinear Coordinates.- Applications to Shell Theory.
Synopsis
curvilinear coordinates. This treatment includes in particular a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The fourth and last chapter, which heavily relies on Chapter 2, begins by a detailed description of the nonlinear and linear equations proposed by W.T. Koiter for modeling thin elastic shells. These equations are "two-dimensional", in the sense that they are expressed in terms of two curvilinear coordinates used for de?ning the middle surface of the shell. The existence, uniqueness, and regularity of solutions to the linear Koiter equations is then established, thanks this time to a fundamental "Korn inequality on a surface" and to an "in?nit- imal rigid displacement lemma on a surface". This chapter also includes a brief introduction to other two-dimensional shell equations. Interestingly, notions that pertain to di?erential geometry per se, suchas covariant derivatives of tensor ?elds, are also introduced in Chapters 3 and 4, where they appear most naturally in the derivation of the basic boundary value problems of three-dimensional elasticity and shell theory. Occasionally, portions of the material covered here are adapted from - cerpts from my book "Mathematical Elasticity, Volume III: Theory of Shells", published in 2000by North-Holland, Amsterdam; in this respect, I am indebted to Arjen Sevenster for his kind permission to rely on such excerpts. Oth- wise, the bulk of this work was substantially supported by two grants from the Research Grants Council of Hong Kong Special Administrative Region, China Project No. 9040869, CityU 100803 and Project No. 9040966, CityU 100604]., curvilinear coordinates. This treatment includes in particular a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The fourth and last chapter, which heavily relies on Chapter 2, begins by a detailed description of the nonlinear and linear equations proposed by W.T. Koiter for modeling thin elastic shells. These equations are "two-dimensional", in the sense that they are expressed in terms of two curvilinear coordinates used for de'ning the middle surface of the shell. The existence, uniqueness, and regularity of solutions to the linear Koiter equations is then established, thanks this time to a fundamental "Korn inequality on a surface" and to an "in'nit- imal rigid displacement lemma on a surface". This chapter also includes a brief introduction to other two-dimensional shell equations. Interestingly, notions that pertain to di'erential geometry per se,suchas covariant derivatives of tensor ?elds, are also introduced in Chapters 3 and 4, where they appear most naturally in the derivation of the basic boundary value problems of three-dimensional elasticity and shell theory. Occasionally, portions of the material covered here are adapted from - cerpts from my book "Mathematical Elasticity, Volume III: Theory of Shells", published in 2000by North-Holland, Amsterdam; in this respect, I am indebted to Arjen Sevenster for his kind permission to rely on such excerpts. Oth- wise, the bulk of this work was substantially supported by two grants from the Research Grants Council of Hong Kong Special Administrative Region, China [Project No. 9040869, CityU 100803 and Project No. 9040966, CityU 100604].
LC Classification Number
TA329-348
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- e***n (390)- Bewertung vom Käufer.Letzter MonatBestätigter KaufGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, Joe
- m***m (2336)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!Tobin's Spirit Guide: Official Ghostbusters Edition by Erik Burnham: Used (Nr. 404302598631)
- _***b (57)- Bewertung vom Käufer.Letzter MonatBestätigter KaufI gave 5 stars on shipping because i sent 2 separate emails + they responded with helpful info, even though it arrived late. This was a great value with free shipping + the condition is very good, better than advertised 🙂! The overall quality and appearance is excellent! I highly recommend this seller and give them 👍👍👍👍
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AlibrisBooks
98,7% positive Bewertungen•2,0 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (522.395)
- e***n (390)- Bewertung vom Käufer.Letzter MonatBestätigter KaufGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, Joe
- m***m (2336)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!Tobin's Spirit Guide: Official Ghostbusters Edition by Erik Burnham: Used (Nr. 404302598631)
- _***b (57)- Bewertung vom Käufer.Letzter MonatBestätigter KaufI gave 5 stars on shipping because i sent 2 separate emails + they responded with helpful info, even though it arrived late. This was a great value with free shipping + the condition is very good, better than advertised 🙂! The overall quality and appearance is excellent! I highly recommend this seller and give them 👍👍👍👍