Elementary Differential Geometry

ISBN-10: 184882890X
ISBN-13: 9781848828902
Edition: 2nd 2010
Authors: Andrew Pressley
List price: $24.95 Buy it from $22.06 Rent it from $14.02
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Used Starting from $22.06
New Starting from $53.11
Rent Starting from $14.02
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!
You could win $10,000

Get an entry for every item you buy, rent, or sell.

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Algebra Online content $4.95 $1.99
Add to cart
Study Briefs
Introduction to Logic Online content $4.95 $1.99
Add to cart
Study Briefs
Business Math Formulas Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $24.95
Edition: 2nd
Copyright year: 2010
Publisher: Springer London, Limited
Publication date: 3/18/2010
Binding: Paperback
Pages: 474
Size: 6.25" wide x 9.25" long x 1.25" tall
Weight: 1.496
Language: English

Andrew Pressley is Professor of Mathematics at King�s College London, UK.

Preface
Contents
Curves in the plane and in space
What is a curve?
Arc-length
Reparametrization
Closed curves
Level curves versus parametrized curves
How much does a curve curve?
Curvature
Plane curves
Space curves
Global properties of curves
Simple closed curves
The isoperimetric inequality
The four vertex theorem
Surfaces in three dimensions
What is a surface?
Smooth surfaces
Smooth maps
Tangents and derivatives
Normals and orientability
Examples of surfaces
Level surfaces
Quadric surfaces
Ruled surfaces and surfaces of revolution
Compact surfaces
Triply orthogonal systems
Applications of the inverse function theorem
The first fundamental form
Lengths of curves on surfaces
Isometries of surfaces
Conformal mappings of surfaces
Equiareal maps mid a theorem of Archimedes
Spherical geometry
Curvature of surfaces
The second fundamental form
The Gauss and Weingarten maps
Normal and geodesic curvatures
Parallel transport and covariant derivative
Gaussian, mean and principal curvatures
Gaussian and mean curvatures
Principal curvatures of a surface
Surfaces of constant Gaussian curvature
Flat surfaces
Surfaces of constant mean curvature
Gaussian curvature of compact surfaces
Geodesics
Definition and basic properties
Geodesic equations
Geodesics on surfaces of revolution
Geodesics as shortest paths
Geodesic coordinates
Gauss' Theorema Egregium
The Gauss and Codazzi-Mainardi equations
Gauss' remarkable theorem
Surfaces of constant Gaussian curvature
Geodesic mappings
Hyperbolic geometry
Upper half-plane model
Isometries of H
Poincar� disc model
Hyperbolic parallels
Beltrami-Klein model
Minimal surfaces
Plateau's problem
Examples of minimal surfaces
Gauss map of a minimal surface
Conformal parametrization of minimal surfaces
Minimal surfaces and holomorphic functions
The Gauss-Bonnet theorem
Gauss-Bonnet for simple closed curves
Gauss-Bonnet for curvilinear polygons
Integration on compact surfaces
Gauss-Bonnet for compact surfaces
Map colouring
Holonomy and Gaussian curvature
Singularities of vector fields
Critical points
Inner product spaces and self-adjoint linear maps
Isometries of Euclidean spaces
M�bius transformations
Hints to selected exercises
Solutions
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×