Compare Prices | Create Shopping Lists with Price Drop Alerts | Set Coupons, Promo Codes & Sales Alerts | Get Access to Exclusive Deals and Much More... All in One Place | Read all about it here

Differential Geometry of Curves and Surfaces

Differential Geometry of Curves and Surfaces

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9789811517389
Condition
New
Product Description

This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. Berkeley for 50 years, recently translated by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka. There are five chapters: 1. Plane Curves and Space Curves; 2. Local Theory of Surfaces in Space; 3. Geometry of Surfaces; 4. GaussBonnet Theorem; and 5. Minimal Surfaces. Chapter 1 discusses local and global properties of planar curves and curves in space. Chapter 2 deals with local properties of surfaces in 3-dimensional Euclidean space. Two types of curvatures the Gaussian curvature K and the mean curvature H are introduced. The method of the moving frames, a standard technique in differential geometry, is introduced in the context of a surface in 3-dimensional Euclidean space. In Chapter 3, the Riemannian metric on a surface is introduced and properties determined only by the first fundamental form are discussed. The concept of a geodesic introduced in Chapter 2 is extensively discussed, and several examples of geodesics are presented with illustrations. Chapter 4 starts with a simple and elegant proof of Stokes theorem for a domain. Then the GaussBonnet theorem, the major topic of this book, is discussed at great length. The theorem is a most beautiful and deep result in differential geometry. It yields a relation between the integral of the Gaussian curvature over a given oriented closed surface S and the topology of S in terms of its Euler number (S). Here again, many illustrations are provided to facilitate the readers understanding. Chapter 5, Minimal Surfaces, requires some elementary knowledge of complex analysis. However, the author retained the introductory nature of this book and focused on detailed explanations of the examples of minimal surfaces given in Chapter 2.

Available Colors
Available Sizes
1 Offer Price Range: $34.99 - $34.99
BEST PRICE

Single Product Purchase

$31.50
@ Link.springer.com with extra coupon Get Coupon & BUY

Price Comparison

Seller Contact Seller List Price On Sale Shipping Best Promo Final Price Volume Discount Financing Availability Seller's Page
BEST PRICE
1 Product Purchase
@ Link.springer.com
Contact Store Call Store Contact Support
$34.99 $34.99

10% OFF
This deals requires coupon Get Code Here
$31.50
See Site In stock Visit Store

Similar Products

Datenschutz und Datensicherung in Klein- und Mittelbetrieben

$74.99

Visualizing Mathematics

$199.99

Max Schmeling and the Making of a National Hero in Twentieth-Century Germany

$129.99

Human Embryonic and Induced Pluripotent Stem Cells

$299.99

Atom- und Quantentheorie

$49.99

Vermessung der Seeschiffe

$59.99

Horazstudien

$59.99

Entwicklungsstrungen in Grob-, Fein- und Grafomotorik

$17.99

Mechanische Verfahrenstechnik 1

$54.99

Modulators, Mediators, and Specifiers in Brain Function

$39.99

Prevention and Treatment of Complications in Proctological Surgery

$109.99

Appreneur

$32.99

Visual Complex Functions

$54.99

Neue Entwicklungen in der Therapie von Lebertumoren

$54.99

Neurophysiological Techniques

$84.99

Combinatorial Optimization and Applications

$59.99

April in Spain: A Novel by John Banville

$17.99

Bioconjugation Protocols

$219.99

Clemens Brentano

$19.99

Reconceptualizing Connections between Language, Literacy and Learning

$169.99

Strategic Nuclear Sharing

$54.99

Selected Topics in Boundary Integral Formulations for Solids and Fluids

$109.99

Indirekte 24-Stunden Blutdruckmessung

$49.99

Global Magic

$54.99

GeomIntMechanical Integrity of Host Rocks

$59.99

Case-Based Reasoning Research and Development

$39.99

Towards a Just and Ecologically Sustainable Peace

$119.00

Optimization and Performance Analysis of High Speed Mobile Access Networks

$54.99

Ungifted

$7.46

Einwandfreier Formgu

$69.95

Color Atlas of Thyroid Surgery

$139.99

Mobile Health Technologies

$99.00

Managing Myositis

$159.99

Applied Research on Policing for Police

$64.99

The Potential of Fields in Einstein's Theory of Gravitation

$54.99

Entrepreneurship and Innovation in Japanese Agriculture

$129.99

Shakespearean Allusion in Crime Fiction

$54.99

Autonomous Agents

$84.99

Deep Learning with Swift for TensorFlow

$64.99

Policy-Integration und Nachhaltigkeit

$59.99