Beyond Nonstructural Quantitative Analysis: Blown-Ups, Spinning Currents and Modern Science

Beyond Nonstructural Quantitative Analysis: Blown-Ups, Spinning Currents and Modern Science

by Y Lin, Yi-Min Lin
     
 

ISBN-10: 9810248393

ISBN-13: 9789810248390

Pub. Date: 01/29/2002

Publisher: World Scientific Publishing Company, Incorporated

This book summarizes the main scientific achievements of the blown-up theory of evolution science, which was first seen in published form in 1994. It explores — using the viewpoint and methodology of the blown-up theory — possible generalizations of Newtonian particle mechanics and computational schemes, developed on Newton's and Leibniz's…  See more details below

Overview

This book summarizes the main scientific achievements of the blown-up theory of evolution science, which was first seen in published form in 1994. It explores — using the viewpoint and methodology of the blown-up theory — possible generalizations of Newtonian particle mechanics and computational schemes, developed on Newton's and Leibniz's calculus, as well as the scientific systems and the corresponding epistemological propositions, introduced and polished in the past three hundred years.The authors briefly explain the fundamental concepts, then analyze a series of topics and problems of the current, active research widely carried out in the natural sciences. Along the lines of the analyses, they introduce new points of view and the corresponding methods. Also, they point out that the blown-up theory originated from the idea of mutual slavings of materials' structures so that “numbers are transformed into forms”. This discovery reveals that nonlinearity is not a problem solvable in the first-push system, and that the materials' property of rotation is not only an epistemology but also a methodology. The authors then point to the fact that nonlinearity is a second stir of mutual slavings of materials.

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Product Details

ISBN-13:
9789810248390
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
01/29/2002
Pages:
344

Table of Contents

Foreword
Ch. 1Introduction1
Ch. 2Nonlinearity: The Conclusion of Calculus17
Ch. 3Blown-Up Theory: The Beginning of the Era of Discontinuity53
Ch. 4Puzzles of the Fluid Science91
Ch. 5Questions about Nonlinear Macro-Evolution Theory119
Ch. 6Problems Existing in Theories of Microscopic Evolutions157
Ch. 7Some Problems Existing in the Field Theory177
Ch. 8Difficulties Facing the Dynamics of Nonlinear Chemical Reactions193
Ch. 9Nonlinearity and Problems on Theories of Ecological Evolutions211
Ch. 10Nonlinearity and the Blown-Up Theory of Economic Evolution Systems221
App. ARecords of Shoucheng OuYang's Thoughts and Dialectical Logics (1959-1996)233
App. BAn Interview with Shoucheng OuYang261
App. CFour Main Flaws and Ten Major Doubtful Cases of the Past 300 Years269
App. DStructural Rolling Currents and Disastrous Weather Forecasting273
App. E: Afterword289
Bibliography303
Index311

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