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Beyond nonstructural quantitative analysis [[electronic resource] ] : blown-ups, spinning currents, and modern science / / Yong Wu, Yi Lin
| Beyond nonstructural quantitative analysis [[electronic resource] ] : blown-ups, spinning currents, and modern science / / Yong Wu, Yi Lin |
| Autore | Wu Yong |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 530.15 |
| Altri autori (Persone) | LinYi <1959-> |
| Soggetto topico | Nonlinear theories |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-809-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Foreword ; Chapter 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
Chapter 2 Nonlinearity: The Conclusion of Calculus 2.1 A Brief History of Calculus ; 2.2 The Method of Differential Analysis ; 2.2.1 Functions and Their Properties ; 2.2.1.1 Representations of Functions ; 2.2.1.2 General Properties of Function ; 2.2.2 Limits of Functions 2.2.3 Continuous Functions 2.2.4 The Concept and Properties of Differentials ; 2.3 The Well-Posedness and Singularity of Differential Equations ; 2.4 Discontinuity: The Mathematical Characteristic of Nonlinear Evolutions ; 2.5 Question the Traditional Treatments of Nonlinearity 2.5.1 Linearization 2.5.2 Stabilization ; 2.5.3 Comparison between Spectral Method and Numerical Schemes ; 2.5.4 Limitations of Lyapunov Exponents ; 2.6 References ; Chapter 3 Blown-Up Theory: The Beginning of the Era of Discontinuity ; 3.1 Looking at Whole Evolutions 3.2 Mathematical Physics Meanings of Blown-Ups 3.3 Nonlinear Transitional Changes: A Mathematical Character of Blown-Ups ; 3.3.1 Blown-Ups of Quadratic Nonlinear Models ; 3.3.2 Blown-Ups of Cubic Polynomial Models ; 3.3.3 Blown-Ups of nth Degree Polynomial Models 3.3.4 Blown-Ups of Higher Order Nonlinear Evolution Systems |
| Record Nr. | UNINA-9910451302703321 |
Wu Yong
|
||
| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beyond nonstructural quantitative analysis [[electronic resource] ] : blown-ups, spinning currents, and modern science / / Yong Wu, Yi Lin
| Beyond nonstructural quantitative analysis [[electronic resource] ] : blown-ups, spinning currents, and modern science / / Yong Wu, Yi Lin |
| Autore | Wu Yong |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 530.15 |
| Altri autori (Persone) | LinYi <1959-> |
| Soggetto topico | Nonlinear theories |
| ISBN | 981-277-809-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Foreword ; Chapter 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
Chapter 2 Nonlinearity: The Conclusion of Calculus 2.1 A Brief History of Calculus ; 2.2 The Method of Differential Analysis ; 2.2.1 Functions and Their Properties ; 2.2.1.1 Representations of Functions ; 2.2.1.2 General Properties of Function ; 2.2.2 Limits of Functions 2.2.3 Continuous Functions 2.2.4 The Concept and Properties of Differentials ; 2.3 The Well-Posedness and Singularity of Differential Equations ; 2.4 Discontinuity: The Mathematical Characteristic of Nonlinear Evolutions ; 2.5 Question the Traditional Treatments of Nonlinearity 2.5.1 Linearization 2.5.2 Stabilization ; 2.5.3 Comparison between Spectral Method and Numerical Schemes ; 2.5.4 Limitations of Lyapunov Exponents ; 2.6 References ; Chapter 3 Blown-Up Theory: The Beginning of the Era of Discontinuity ; 3.1 Looking at Whole Evolutions 3.2 Mathematical Physics Meanings of Blown-Ups 3.3 Nonlinear Transitional Changes: A Mathematical Character of Blown-Ups ; 3.3.1 Blown-Ups of Quadratic Nonlinear Models ; 3.3.2 Blown-Ups of Cubic Polynomial Models ; 3.3.3 Blown-Ups of nth Degree Polynomial Models 3.3.4 Blown-Ups of Higher Order Nonlinear Evolution Systems |
| Record Nr. | UNINA-9910784818103321 |
|
Wu Yong
|
||
| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||