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An Introduction to Differential Geometry with Applications to Elasticity: New
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eBay item number:403644694816
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- An Introduction to Differential Geometry with Applications to Ela
- Publication Date
- 2006-02-22
- Pages
- 209
- ISBN
- 9781402042478
About this product
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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Seller feedback (517,098)
- r***e (176)- Feedback left by buyer.Past monthVerified purchaseas described
- k***t (698)- Feedback left by buyer.Past monthVerified purchaseItem was as described. Thank you.
- o***0 (8)- Feedback left by buyer.Past monthVerified purchaseBook arrived as expected. A Great buy!