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Advancements in Discrete Differential Geometry: A Journey Through the Interplay of Mathematics and Geometry

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Are you ready to embark on an intellectual adventure that fuses the elegance of mathematics with the intricate beauty of geometry? Look no further than 'Advances in Discrete Differential Geometry,' a groundbreaking book that transports you to the frontiers of this captivating field.

Advances in Discrete Differential Geometry

by Alexander I. Bobenko

4.3 out of 5

Language	:	English
File size	:	31500 KB
Print length	:	449 pages

Within these pages, renowned experts unveil the latest research and applications in discrete differential geometry, a discipline that bridges the gap between classical differential geometry and discrete mathematics. Prepare to witness a harmonious dance between abstract concepts and tangible geometric forms.

Unveiling the Essence of Discrete Differential Geometry

Discrete differential geometry delves into the study of geometric structures arising from discrete objects, such as graphs, simplicial complexes, and point clouds. Unlike their continuous counterparts, these discrete structures possess unique properties that challenge traditional geometric notions.

This book provides a comprehensive overview of the fundamental concepts, tools, and techniques employed in discrete differential geometry. From discrete curvature and discrete geodesics to discrete Ricci flow and discrete harmonic forms, you will gain a deep understanding of this fascinating mathematical landscape.

Exploring Cutting-Edge Applications

'Advances in Discrete Differential Geometry' transcends theoretical foundations, showcasing the practical applications of this field in diverse disciplines:

Graph theory: Enhance your understanding of graph connectivity, spectral properties, and graph embedding.
Combinatorial geometry: Discover the intricate relationship between combinatorial objects and geometric forms.
Topological data analysis: Uncover hidden patterns and structures within complex data sets.
Shape analysis: Delve into the geometric properties of shapes and their applications in image processing and pattern recognition.
Image processing: Leverage discrete differential geometry to enhance image segmentation, denoising, and feature extraction.
Computer graphics: Create realistic and visually stunning computer-generated models.
Computational geometry: Explore geometric algorithms, convexity, and geometric data structures.
Mathematical morphology: Expand your knowledge of image analysis and shape representation.
Variational methods: Discover the power of variational techniques in discrete differential geometry.

A Treasure Trove of Insights for Researchers

'Advances in Discrete Differential Geometry' is an invaluable resource for researchers seeking to push the boundaries of this exciting field. With its in-depth coverage of foundational principles and cutting-edge applications, this book serves as an essential guide for:

Mathematicians specializing in differential geometry, discrete mathematics, and geometric analysis.
Computer scientists working in image processing, computer graphics, and data analysis.
Physicists and engineers seeking a rigorous mathematical framework for modeling discrete systems.
Graduate students and advanced undergraduates eager to delve into the frontiers of discrete differential geometry.

Free Download Your Copy Today

Embark on a captivating intellectual journey with 'Advances in Discrete Differential Geometry.' Free Download your copy today and unlock a world of mathematical elegance and geometric wonder. Dive into the depths of this groundbreaking field and witness the transformative power of discrete differential geometry in shaping our understanding of the world.

Available in hardcover and online formats.

Advances in Discrete Differential Geometry

by Alexander I. Bobenko

4.3 out of 5