Description 
1 online resource (xx, 324 pages) : illustrations 
Contents 
Ch. 1. Introduction. 1.1. Scientific discoveries. 1.2. Nonlinear science. 1.3. Some ancient thoughts of the east and the west. 1.4. Determinacy and randomness. 1.5. Equal quantitative effects. 1.6. Organization of this book. 1.7. References  ch. 2. Nonlinearity: The conclusion of calculus. 2.1. A brief history of calculus. 2.2. The method of differential analysis. 2.3. The wellposedness and singularity of differential equations. 2.4. Discontinuity: The mathematical characteristic of nonlinear evolutions. 2.5. Question the traditional treatments of nonlinearity. 2.6. References  ch. 3. Blownup theory: The beginning of the era of discontinuity. 3.1. Looking at whole evolutions. 3.2. Mathematical physics meanings of blownups. 3.3. Nonlinear transitional changes: A mathematical character of blownups. 3.4. Mapping properties of blownups and related observcontrol problems. 3.5. Spinning current: A physics characteristic of blownups. 3.6. Equal quantitative effects. 3.7. References  ch. 4. Puzzles of the fluid science. 4.1. Fluids: A historical perspective. 4.2. Convergency (divergency) of moving fluids. 4.3. Dynamic characteristics of NavierStokes equation. 4.4. Some problems about atmospheric long waves. 4.5. Problem of objectivity of Hadly circulations. 4.6. Problems related to the modeling and solution of KdV and Burgers equations. 4.7. Is meteorological science a part of geophysics or atmospheric science? 4.8. References  ch. 5. Questions about nonlinear macroevolution theory. 5.1. Introduction. 5.2. Does "chaos" objectively exist? 5.3. Some problems about the onedimensional iteration formula. 5.4. Problems related to thermodynamics. 5.5. Methodological problems of synergetics. 5.6. Some problems regarding catastrophe theory. 5.7. References  ch. 6. Problems existing in theories of microscopic evolutions. 6.1. Some relevant historical recall. 6.2. Rules of quantum motion and characteristics of singularity. 6.3. Inaccurate measurements and equal quantitative effects. 6.4. Discussion on "quantum chaos". 6.5. Blownup theory of laser emission. 6.6. References  ch. 7. Some problems existing in the field theory. 7.1. The concept of fields and its historical importance. 7.2. The blownup problem of the evolution of Higgs field. 7.3. Some problems about the evolution of SU (2) gauge field. 7.4. Do "gravitational waves" objectively exist? 7.5. Some problems about "universal gravitation". 7.6. References  ch. 8. Difficulties facing the dynamics of nonlinear chemical reactions. 8.1. Chemical reactions and their rates. 8.2. The blownup problem on gaseous chemical reactions. 8.3. The blownup oroblem on liquid chemical reactions. 8.4. The blownup problem on Schlog reaction model. 8.5. The blownup problem on chainreaction models. 8.6. References  ch. 9. Nonlinearity and problems on theories of ecological evolutions. 9.1. The population evolution equation. 9.2. Evolution problems of logistic models. 9.3. Blownup characteristics of improved logistic models. 9.4. References  ch. 10. Nonlinearity and the blownup theory of economic evolution systems. 10.1. The start of economics and inherent difficulties. 10.2. Evolution problem in merchandise prices. 10.3. The evolution problem on competitions between economic sectors and individual enterprises. 10.4. References 
Summary 
Annotation This book summarizes the main scientific achievements of the blownup theory of evolution science, which was first seen in published form in 1994. It explores  using the viewpoint and methodology of the blownup 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 
Bibliography 
Includes bibliographical references (pages 303310) and index 
Notes 
Print version record 
Subject 
Nonlinear theories.


SCIENCE  Physics  Mathematical & Computational.


Nonlinear theories.

Form 
Electronic book

Author 
Forrest, Jeffrey YiLin, 1959

ISBN 
9789812778093 

9812778098 

9789810248390 

9810248393 
