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Arithmetic applied mathematics /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
1980.
|
| Edición: | 1st ed. |
| Colección: | International series in nonlinear mathematics ;
v. 1. Pergamon international library of science, technology, engineering, and social studies. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Arithmetic Applied Mathematics; Copyright Page; Table of Contents; Preface; Chapter 1. Gravity; 1.1 INTRODUCTION; 1.2 GRAVITY; Chapter 2. Long and Short Range Forces: Gravitation and Molecular Attraction and Repulsion; 2.1 INTRODUCTION; 2.2 GRAVITATION; 2.3 BASIC PLANAR CONCEPTS; 2.4 DISCRETE GRAVITATION AND PLANETARY MOTION; 2.5 THE GENERALIZED NEWTON'S METHOD; 2.6 AN ORBIT EXAMPLE; 2.7 GRAVITY REVISITED; 2.8 CLASSICAL MOLECULAR FORCES; 2.9 REMARK; Chapter 3. The N-body Problem; 3.1 INTRODUCTION; 3.2 THE THREE-BODY PROBLEM; 3.3 CONSERVATION OF ENERGY.
- 3.4 SOLUTION OF THE DISCRETE THREE-BODY PROBLEM3.5 CENTER OF GRAVITY; 3.6 CONSERVATION OF LINEAR MOMENTUM; 3.7 CONSERVATION OF ANGULAR MOMENTUM; 3.8 THE N-BODY PROBLEM; 3.9 REMARK; Chapter 4. Conservative Models; 4.1 INTRODUCTION; 4.2 THE SOLID STATE BUILDING BLOCK; 4.3 FLOW OF HEAT IN A BAR; 4.4 OSCILLATION OF AN ELASTIC BAR; 4.5 LAMINAR AND TURBULENT FLUID FLOWS; Chapter 5. Nonconservative Models; 5.1 INTRODUCTION; 5.2 SHOCK WAVES; 5.3 THE LEAP-FROG FORMULAS; 5.4 THE STEFAN PROBLEM; 5.5 EVOLUTION OF PLANETARY TYPE BODIES; 5.6 FREE SURFACE FLUID FLOW; 5.7 POROUS FLOW.
- Chapter 6. Foundational Concepts of Special Relativity6.1 INTRODUCTION; 6.2 BASIC CONCEPTS; 6.3 EVENTS AND A SPECIAL LORENTZ TRANSFORMATION; 6.4 A GENERAL LORENTZ TRANSFORMATION; Chapter 7. Arithmetic Special Relativistic Mechanics in One Space Dimension; 7.1 INTRODUCTION; 7.2 PROPER TIME; 7.3 VELOCITY AND ACCELERATION; 7.4 REST MASS AND MOMENTUM; 7.5 THE DYNAMICAL DIFFERENCE EQUATION; 7.7 THE MOMENTUM-ENERGY VECTOR; 7.8 REMARKS; Chapter 8. Arithmetic Special Relativistic Mechanics in Three Space Dimensions; 8.1 INTRODUCTION; 8.2 VELOCITY, ACCELERATION, AND PROPER TIME; 8.3 MINKOWSKI SPACE.
- 8.4 4-VELOCITY AND 4-ACCELERATION8.5 MOMENTUM AND ENERGY; 8.6 THE MOMENTUM-ENERGY 4-VECTOR; 8.7 DYNAMICS; Chapter 9. Lorentz Invariant Computations; 9.1 INTRODUCTION; 9.2 INVARIANT COMPUTATIONS; 9.3 AN ARITHMETIC, NEWTONIAN HARMONIC OSCILLATOR; 9.4 AN ARITHMETIC, RELATIVISTIC HARMONIC OSCILLATOR; 9.5 MOTION OF AN ELECTRIC CHARGE IN A MAGNETIC FIELD; Appendix 1: Fortran Program for General N-body Interaction; Appendix 2: Fortran Program for Planetary-type Evolution; References and Sources for Further Reading; Index.