EVERYDAY FREE SHIPPING on $25 & up - Excludes marketplace items & rentals.
EVERYDAY FREE SHIPPING on $25 & up - Excludes marketplace items & rentals.
EVERYDAY FREE SHIPPING on $25 & up - Excludes marketplace items & rentals
Search
Elementary Differential Geometry

Elementary Differential Geometry - rev edition

ISBN13: 978-0120887354

Cover of Elementary Differential Geometry REV 06 (ISBN 978-0120887354)
ISBN13: 978-0120887354
ISBN10: 0120887355
Cover type: Print On Demand
Edition/Copyright: REV 06
Publisher: Academic Press, Inc.
Published: 2006
International: No
Sell this book right now for CASH!
Sell this book
right now for
$12.50 CASH!

List price: $96.95

USED
Sold Out
FREE Shipping on $25+
  • Check back soon!
  • 30-Day Returns
  • Condition: Very Good
Sold Out
rental
$70.99
Save $25.96 (27%)


Ships from $5.99
  • Free Return Shipping
  • Due back 12/18/2015
  • CDs or access codes
    may not be included

Elementary Differential Geometry - REV 06 edition

ISBN13: 978-0120887354

Barrett O'Neill

ISBN13: 978-0120887354
ISBN10: 0120887355
Cover type: Print On Demand
Edition/Copyright: REV 06
Publisher: Academic Press, Inc.

Published: 2006
International: No
Summary

Written primarily for students who have completed the standard first courses in calculus and linear algebra, ELEMENTARY DIFFERENTIAL GEOMETRY, REVISED SECOND 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.

Table of Contents

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.

Digital Rights

eBook Requirements
VitalSource Bookshelf Reader
Minimum System Requirements:
  • Windows 7/8, or Mac OS X 10.6 or above
Software Requirements:

eTextbooks and eChapters can be viewed by using the free reader listed below.

Be sure to check the format of the eTextbook/eChapter you purchase to know which reader you will need. After purchasing your eTextbook or eChapter, you will be emailed instructions on where and how to download your free reader.

Download Requirements:

Due to the size of eTextbooks, a high-speed Internet connection (cable modem, DSL, LAN) is required for download stability and speed. Your connection can be wired or wireless.

Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet during the download process.

User Help:

Click Here to access the VitalSource Bookshelf FAQ

Digital Rights
VitalSource Bookshelf
Copying: Allowed with no limits
Printing: Allowed with no limits
Expires: Yes, may be used for 365 days after activation
Reading Aloud: Allowed
Sharing: Not Allowed
Min. Software Version: VitalSource Bookshelf
Suitable Devices: PCs, Tablet PCs, Macs, Laptops


Digital Rights Management (DRM) Key


Copying - Books that cannot be copied will show "Not Allowed." Otherwise, this will detail the number of times it can be copied, or "Allowed with no limits."

Printing - Books that cannot be printed will show "Not Allowed." Otherwise, this will detail the number of times it can be printed, or "Allowed with no limits."

Expires - Books that have no expiration (the date upon which you will no longer be able to access your eBook) will read "No Expiration." Otherwise it will state the number of days from activation (the first time you actually read it).

Reading Aloud - Books enabled with the "text-to-speech" feature so that they can be read aloud will show "Allowed."

Sharing - Books that cannot be shared with other computers will show "Not Allowed."

Min. Software Version - This is the minimum software version needed to read this book.

Suitable Devices - Hardware known to be compatable with this book. Note: Reader software still needs to be installed.

List price: $96.95
  • Rental
  • $70.99
  • Marketplace
  • From