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SKU/Artículo: AMZ-B0G19R9QCL

Fractal Geometry and AI Visualization: Reimagining Complexity through Mathematics, Algorithms and Art VOL-1 (AI & New Age Math)

Format:

Paperback

Hardcover

Kindle

Paperback

Detalles del producto

Disponibilidad:
En stock

Peso con empaque:
1.14 kg

Devolución:
Sí

Condición
Nuevo

Producto de:
Amazon

Viaja desde
USA

Sobre este producto

In an age where artificial intelligence is shaping not only industries but also human imagination, Fractal Geometry and AI Visualization stands at the intersection of mathematics, art, and intelligence. It offers a transformative exploration of how self similarity, chaos, and recursive structures underpin the emerging world of computational creativity.This book is a deep academic yet visionary journey into the mathematical and conceptual beauty of fractals, and into the ways these structures inspire next generation AI models, image compression techniques, and generative art systems. Designed for students, researchers, and professionals, it bridges rigorous mathematical understanding with real world applications in data science, visualization, and artificial intelligence.The Essence of Fractals and the Digital UniverseFractals are more than complex mathematical constructs. They represent the underlying patterns of nature. From spiraling galaxies to branching trees, from turbulent clouds to neural structures in the human brain, fractal geometry governs the hidden order behind apparent chaos.In the twenty first century, fractals have moved beyond natural observation and entered the domain of artificial creativity. Neural networks, deep learning architectures, and AI driven generative models increasingly rely on fractal principles to create realistic patterns, compress information, and simulate natural systems.This book begins by presenting the foundational concepts of fractal geometry, including self similarity, iteration, scaling, and chaos theory. Readers are guided from classical discoveries such as Mandelbrot and Julia sets to modern AI based visual systems capable of producing infinite complexity from finite rules.Each chapter is structured to promote clarity and depth of understanding by combining mathematical derivations, algorithmic logic, and philosophical perspectives on how intelligence perceives and represents complexity.Mathematical Foundations and Computational ModelsMathematics forms the language of the universe, and fractals represent one of its most expressive forms. The book devotes its early chapters to explaining how recursive equations, nonlinear dynamics, and iterative function systems give rise to intricate and infinitely detailed structures.It introduces the concept of fractal dimensions, where geometry extends beyond traditional Euclidean boundaries. Topics explored include the Hausdorff dimension and its role in quantifying complexity, the box counting method as a bridge between theory and computational implementation, and the influence of chaotic attractors and recursive equations that generate diversity from simple deterministic rules.Mathematical rigor is combined with computational intuition, enabling readers to visualize patterns of order that emerge from deterministic chaos. These principles are then extended to modern computational tools, demonstrating how programming environments such as Python, MATLAB, and deep learning frameworks can be used to simulate, analyze, and interpret fractal systems.

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U$S 43,98

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