Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models (eBook, PDF)

Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models (eBook, PDF)

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N atur non facit saltus? This book is devoted to the fundamental problem which arises contin uously in the process of the human investigation of reality: the role of a mathematical apparatus in a description of reality. We pay our main attention to the role of number systems which are used, or may be used, in this process. We shall show that the picture of reality based on the standard (since the works of Galileo and Newton) methods of real analysis is not the unique possible way of presenting reality in a human brain. There exist other pictures of reality where other num ber fields are used a...

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