{"product_id":"can-we-count-all-the-faces-exploring-simplicial-complexes-9783384264770","title":"Can We Count All the Faces? Exploring Simplicial Complexes","description":"\u003cp\u003e • Author(s): Goethe\u003cbr\u003e • Publisher: Tredition Gmbh\u003cbr\u003e • Publisher Imprint: Tredition Gmbh\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003eThis title avoids the question format and emphasizes the broader significance of Simplicial Complexes. Breakdown: - Beyond Counting Faces: Moves beyond a basic aspect and sparks curiosity about what else there is. - Unveiling the Hidden Language of Shapes: Creates intrigue and suggests these structures reveal deeper properties of shapes. The piece could delve into the limitations of counting faces: - Faces as a Starting Point: Explain how counting faces provides basic information but doesn't capture the entire picture. - The Challenge of Higher Dimensions: Briefly discuss how counting faces becomes impractical for complex shapes in higher dimensions. The focus would then shift on the power of Simplicial Complexes: - Building Blocks of Complex Shapes: Highlight how these structures can represent intricate shapes in various fields like 3D modeling or network analysis. - Topological Analysis: Discuss how they allow us to analyze the fundamental properties of shapes (like holes or tunnels) regardless of size or deformation. - A Tool for Diverse Fields: Explore their applications in disciplines like physics, engineering, and even computer graphics. \"Beyond Counting Faces\" suggests a few content directions: - Visualizing Simplicial Complexes: Briefly discuss the importance of using visualizations or interactive tools to understand these concepts. - Historical Context: Give a concise overview of the development of Simplicial Complexes in mathematics. - Real-world Applications: Highlight specific examples of how these structures are used in various fields to solve practical problems.\u003c\/p\u003e","brand":"Atlantic Books","offers":[{"title":"Paperback","offer_id":46442886660247,"sku":"9783384264770","price":1869.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783384264770.webp?v=1769124458","url":"https:\/\/atlanticbooks.com\/products\/can-we-count-all-the-faces-exploring-simplicial-complexes-9783384264770","provider":"Atlantic Books","version":"1.0","type":"link"}