### Andrei Y. Khrennikov's Non-Archimedean Analysis: Quantum Paradoxes, Dynamical PDF

By Andrei Y. Khrennikov

ISBN-10: 9400914830

ISBN-13: 9789400914834

ISBN-10: 9401071640

ISBN-13: 9789401071642

N atur non facit saltus? This e-book is dedicated to the basic challenge which arises contin uously within the technique of the human research of truth: the function of a mathematical equipment in an outline of truth. We pay our major awareness to the position of quantity platforms that are used, or can be used, during this procedure. we will express that the image of truth according to the traditional (since the works of Galileo and Newton) tools of genuine research isn't the distinct real way of featuring truth in a human mind. There exist different images of truth the place different num ber fields are used as simple components of a mathematical description. during this e-book we strive to construct a p-adic photograph of fact in keeping with the fields of p-adic numbers Qp and corresponding research (a specific case of so known as non-Archimedean analysis). notwithstanding, this e-book must never be regarded as just a publication on p-adic research and its functions. We examine a way more prolonged diversity of difficulties. Our philosophical and actual rules will be learned in different mathematical frameworks which aren't obliged to be in keeping with p-adic research. we will express that many difficulties of the outline of fact because of genuine numbers are precipitated via limitless functions of the so referred to as Archimedean axiom.