Elementary Differential Geometry by Barrett O'Neill
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Item specifics
- Condition
- EAN
- 9780120887354
- UPC
- 9780120887354
- ISBN
- 9780120887354
- MPN
- N/A
- Book Title
- Elementary Differential Geometry by Barrett O'Neil
- Subject Area
- Mathematics
- Publication Name
- Elementary Differential Geometry, Revised 2nd Edition
- Publisher
- Elsevier Science & Technology
- Item Length
- 9 in
- Subject
- Geometry / Differential
- Publication Year
- 2006
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.5 in
- Features
- Revised
- Item Weight
- 33.7 Oz
- Item Width
- 6 in
- Number of Pages
- 520 Pages
About this product
Product Identifiers
Publisher
Elsevier Science & Technology
ISBN-10
0120887355
ISBN-13
9780120887354
eBay Product ID (ePID)
50347428
Product Key Features
Number of Pages
520 Pages
Language
English
Publication Name
Elementary Differential Geometry, Revised 2nd Edition
Subject
Geometry / Differential
Publication Year
2006
Features
Revised
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
0.5 in
Item Weight
33.7 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Edition Number
2
Intended Audience
College Audience
LCCN
2005-057176
Illustrated
Yes
Edition Description
Revised edition
Table Of Content
Chapter 1: Calculus on Euclidean Space: Euclidean Space. Tangent Vectors. Directional Derivatives. Curves in R3. 1-forms. Differential Forms. Mappings. Chapter 2: Frame Fields: Dot Product. Curves. The Frenet Formulas. ArbitrarySpeed Curves. Covariant Derivatives. Frame Fields. Connection Forms. The Structural Equations. Chapter 3: Euclidean Geometry: Isometries of R3. The Tangent Map of an Isometry. Orientation. Euclidean Geometry. Congruence of Curves. Chapter 4: Calculus on a Surface: Surfaces in R3. Patch Computations. Differentiable Functions and Tangent Vectors. Differential Forms on a Surface. Mappings of Surfaces. Integration of Forms. Topological Properties. Manifolds. Chapter 5: Shape Operators: The Shape Operator of M R3. Normal Curvature. Gaussian Curvature. Computational Techniques. The Implicit Case. Special Curves in a Surface. Surfaces of Revolution. Chapter 6: Geometry of Surfaces in R3: The Fundamental Equations. Form Computations. Some Global Theorems. Isometries and Local Isometries. Intrinsic Geometry of Surfaces in R3. Orthogonal Coordinates. Integration and Orientation. Total Curvature. Congruence of Surfaces. Chapter 7: Riemannian Geometry: Geometric Surfaces. Gaussian Curvature. Covariant Derivative. Geodesics. Clairaut Parametrizations. The Gauss-Bonnet Theorem. Applications of Gauss-Bonnet. Chapter 8: Global Structures of Surfaces: Length-Minimizing Properties of Geodesics. Complete Surfaces. Curvature and Conjugate Points. Covering Surfaces. Mappings that Preserve Inner Products. Surfaces of Constant Curvature. Theorems of Bonnet and Hadamard.
Synopsis
Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition , provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. This revision of the Second Edition provides a thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises. As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text. Over 36,000 copies sold worldwide Accessible, practical yet rigorous approach to a complex topic--also suitable for self-study Extensive update of appendices on Mathematica and Maple software packages Thorough streamlining of second edition's numbering system Fuller information on solutions to odd-numbered problems Additional exercises and hints guide students in using the latest computer modeling tools, Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition , provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. This revision of the Second Edition provides a thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises. As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text.
LC Classification Number
QA641
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Seller feedback (7,854)
- z***s (2506)- Feedback left by buyer.Past 6 monthsVerified purchaseThe item was spot-on, even better than the photos, and arrived in perfect condition. The packaging was highly professional, which is why the item came in superb, pristine condition. The seller was excellent with their communication, and I could not have been happier. I WILL buy from them again!Rockin Australia by James Anfuso (#156490333182)
- l***l (1529)- Feedback left by buyer.Past monthVerified purchaseGreat Seller! Excellent communication! Paperback was well-packed. Shipment via USPS went flawlessly.
- p***s (2457)- Feedback left by buyer.Past yearVerified purchaseGreat item at a great price: Seller prepped, packed and shipped expertly and with lightning speed! Item arrived exactly as described; AN OVERALL EXCELLENT TRANSACTION! Thanks Seller!!!!BERLIN TP BOOK 03 CITY OF LIGHT (MR) by Lutes, Jason (#156333981582)