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

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More About This Textbook


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: 1/29/2002
  • Pages: 344

Table of Contents

Ch. 1 Introduction 1
Ch. 2 Nonlinearity: The Conclusion of Calculus 17
Ch. 3 Blown-Up Theory: The Beginning of the Era of Discontinuity 53
Ch. 4 Puzzles of the Fluid Science 91
Ch. 5 Questions about Nonlinear Macro-Evolution Theory 119
Ch. 6 Problems Existing in Theories of Microscopic Evolutions 157
Ch. 7 Some Problems Existing in the Field Theory 177
Ch. 8 Difficulties Facing the Dynamics of Nonlinear Chemical Reactions 193
Ch. 9 Nonlinearity and Problems on Theories of Ecological Evolutions 211
Ch. 10 Nonlinearity and the Blown-Up Theory of Economic Evolution Systems 221
App. A Records of Shoucheng OuYang's Thoughts and Dialectical Logics (1959-1996) 233
App. B An Interview with Shoucheng OuYang 261
App. C Four Main Flaws and Ten Major Doubtful Cases of the Past 300 Years 269
App. D Structural Rolling Currents and Disastrous Weather Forecasting 273
App. E: Afterword 289
Bibliography 303
Index 311
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