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Více informací o knize Atomicity through Fractal Measure Theory

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Anotace knihy

This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory. Applications to quantum physics and, more generally, to the fractal theory of the motion, are highlighted. The study details the atomicity problem through key concepts, such as the atom/pseudoatom, atomic/nonatomic measures, and different types of non-additive set-valued multifunctions. Additionally, applications of these concepts are brought to light in the study of the dynamics of complex systems. The first chapter prepares the basics for the next chapters. In the last chapter, applications of atomicity in quantum physics are developed and new concepts, such as the fractal atom are introduced. The mathematical perspective is presented first and the discussion moves on to connect measure theory and quantum physics through quantum measure theory. New avenues of research, such as fractal/multifractal measure theory with potential applications in life sciences, are opened.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Atomicity through Fractal Measure Theory
• Podnázev: Mathematical and Physical Fundamentals with Applications
• Autor: Alina Gavrilut, Ioan Merches, Maricel Agop
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 184
• EAN: 9783030295929
• ID: 24519633
• Nakladatelství: Springer Nature Switzerland AG
• Hmotnost: 471 g
• Rozměry: 235 × 155 × 17 mm
• Datum vydání: 13. November 2019

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