Discover the Intriguing World of Convex Surfaces with Dover's Essential Mathematics Guide

Delve into the fascinating world of convex surfaces with Dover's essential mathematics guide. Written by renowned mathematician Rolf Schneider, this comprehensive volume offers a thorough exploration of the theory and applications of convex surfaces, empowering you with a deep understanding of this fundamental concept in geometry.

Key Concepts and Fundamental Principles

Convex Surfaces: A Global Approach to Their Local Properties provides a solid foundation in convexity theory, covering fundamental concepts such as:

Convex Surfaces (Dover Books on Mathematics)

by Herbert Busemann

5 out of 5

Language	:	English
File size	:	4934 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Enhanced typesetting	:	Enabled
Print length	:	208 pages
Lending	:	Enabled
X-Ray for textbooks	:	Enabled

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• The definition and properties of convex sets and convex hulls
• Support functions, generating cones, and duality
• The concept of curvature and its applications
• Gauss-Bonnet formula and its ramifications

Applications in Various Fields

Beyond its theoretical significance, the study of convex surfaces has broad applications in a wide range of disciplines, including:

• Optimization and variational problems
• Mathematical physics and elasticity
• Geometric modeling and computer graphics
• Biomathematics and medical imaging

Comprehensive and Accessible Approach

Schneider's approach is designed to make the subject matter both comprehensive and accessible. The book:

• Provides clear and concise explanations of complex concepts
• Features numerous examples and illustrations to enhance understanding
• Includes exercises and problems to reinforce learning
• Covers both classical and modern results in convex geometry

Enrich Your Mathematical Toolkit

Whether you're a student, researcher, or professional in the field of mathematics, Convex Surfaces: A Global Approach to Their Local Properties is an invaluable resource. Its comprehensive coverage, clear explanations, and practical applications make it an indispensable guide for understanding this captivating area of mathematics.

Invest in this essential volume today and unlock the power of convex surfaces in your mathematical pursuits!

Convex Surfaces (Dover Books on Mathematics)

by Herbert Busemann

5 out of 5

Language	:	English
File size	:	4934 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Enhanced typesetting	:	Enabled
Print length	:	208 pages
Lending	:	Enabled
X-Ray for textbooks	:	Enabled

FREE