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Engineering - A Short Course in Computational Geometry and Topology (SpringerBriefs in Applied Sciences and Technology)

Description

Book Synopsis: This monograph presents a short course in computational geometry and topology. In the first part, the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence which is indispensable for applications, e.g. shape reconstruction. The target audience comprises researchers and practitioners in mathematics, biology, neuroscience, and computer science, but the book may also be beneficial to graduate students of these fields.

Details

Are you a researcher or practitioner in mathematics, biology, neuroscience, or computer science? Looking to enhance your knowledge and skills in computational geometry and topology? Look no further! Introducing the "A Short Course in Computational Geometry and Topology" book, a comprehensive guide that covers everything you need to know in these fields.

In the first part of the book, you'll dive into the fascinating world of Voronoi diagrams and Delaunay triangulations. Understand their importance and learn how to apply them in various real-world scenarios. Want to explore further? The book then delves into the theory of alpha complexes, a fundamental concept in biology that is crucial for understanding complex biological systems.

The heart of the book lies in the exploration of homology theory and its computation. Discover the power of homology theory in shape reconstruction and its indispensable role in various applications. With a clear and concise presentation, this book equips you with the knowledge necessary for tackling complex problems in your field.

Whether you are a seasoned researcher or a graduate student, this book is perfect for expanding your understanding of computational geometry and topology. Don't miss this opportunity to boost your knowledge and stay ahead in your field. Order "A Short Course in Computational Geometry and Topology" today and take your skills to the next level!

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