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Applied Mathematics
| Autor principal: | |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Newark :
John Wiley & Sons, Incorporated,
2013.
|
| Colección: | New York Academy of Sciences Ser.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro
- Half Title page
- Title page
- Copyright page
- Dedication
- Preface
- Chapter 1: Dimensional Analysis and One-Dimensional Dynamics
- 1.1 Dimensional Analysis
- 1.2 Scaling
- 1.3 Differential Equations
- References and Notes
- Chapter 2: Two-Dimensional Dynamical Systems
- 2.1 Phase Plane Phenomena
- 2.2 Linear Systems
- 2.3 Nonlinear Systems
- 2.4 Bifurcations
- 2.5 Reaction Kinetics
- 2.6 Pathogens
- References and Notes
- Chapter 3: Perturbation Methods and Asymptotic Expansions
- 3.1 Regular Perturbation
- 3.2 Singular Perturbation
- 3.3 Boundary Layer Analysis
- 3.4 Initial Layers
- 3.5 The WKB Approximation
- 3.6 Asymptotic Expansion of Integrals
- References and Notes
- Chapter 4: Calculus of Variations
- 4.1 Variational Problems
- 4.2 Necessary Conditions for Extrema
- 4.3 The Simplest Problem
- 4.4 Generalizations
- 4.5 Hamilton's Principle
- 4.6 Isoperimetric Problems
- References and Notes
- Chapter 5: Boundary Value Problems and Integral Equations
- 5.1 Boundary-Value Problems
- 5.2 Sturm-Liouville Problems
- 5.3 Classical Fourier Series
- 5.4 Integral Equations
- 5.5 Green's Functions
- 5.6 Distributions
- References and Notes
- Chapter 6: Partial Differential Equations
- 6.1 Basic Concepts
- 6.2 Conservation Laws
- 6.3 Equilibrium Equations
- 6.4 Eigenfunction Expansions
- 6.5 Integral Transforms
- 6.6 Stability of Solutions
- 6.7 Distributions
- References and Notes
- Chapter 7: Wave Phenomena
- 7.1 Waves
- 7.2 Nonlinear Waves
- 7.3 Quasi-linear Equations
- 7.4 The Wave Equation
- References and Notes
- Chapter 8: Mathematical Models of Continua
- 8.1 Kinematics and Mass Conservation
- 8.2 Momentum and Energy
- 8.3 Gas Dynamics
- 8.4 Fluid Motions in R3