Computer-oriented mathematical physics
Title:
Computer-oriented mathematical physics
Author:
Greenspan, Donald.
ISBN:
9781483278841
Personal Author:
Publication Information:
Oxford ; New York : Pergamon Press, 1981.
Physical Description:
1 online resource (viii, 170 pages) : illustrations
Series:
International series in nonlinear mathematics ; v. 3
Pergamon international library of science, technology, engineering, and social studies
International series in nonlinear mathematics ; v. 3.
Pergamon international library of science, technology, engineering, and social studies.
Contents:
Front Cover; Computer-Oriented Mathematical Physics; Copyright Page; Preface; Table of Contents; Chapter 1. Mathematical and Physical Sciences; 1.1 INTRODUCTION; 1.2 MATHEMATICAL SCIENCE; 1.3 PHYSICAL SCIENCE; 1.4 EXERCISES -- CHAPTER 1; Chapter 2. Gravity; 2.1 INTRODUCTION; 2.2 A SIMPLE EXPERIMENT; 2.3 VELOCITY; 2.4 ACCELERATION; 2.5 FURTHER EXPERIMENTS; 2.6 A MATHEMATICAL MODEL; 2.7 STILL FURTHER EXPERIMENTS; 2.8 EXERCISES -- CHAPTER 2; Chapter 3. Theoretical Physics as a Mathematical Science; 3.1 INTRODUCTION; 3.2 BASIC MATHEMATICAL CONCEPTS; 3.3 BASIC PHYSICAL CONCEPTS; 3.4 REMARKS.
3.5 EXERCISES -- CHAPTER 3Chapter 4. The Pendulum and Other Oscillators; 4.1 INTRODUCTION; 4.2 A THEORETICAL PENDULUM; 4.3 THE HARMONIC OSCILLATOR; 4.4 HARMONIC MOTION; 4.5 REMARKS; 4.6 EXERCISES -- CHAPTER 4; Chapter 5. Waves; 5.1 INTRODUCTION; 5.2 THE DISCRETE STRING; 5.3 EXAMPLES; 5.4 EXERCISES -- CHAPTER 5; Chapter 6. Vectors; 6.1 INTRODUCTION; 6.2 TWO-DIMENSIONAL VECTORS; 6.3 THREE DIMENSIONAL VECTORS; 6.4 EXERCISES -- CHAPTER 6; Chapter 7. Gravitation; 7.1 INTRODUCTION; 7.2 THE 1/r2 LAW; 7.3 GRAVITATION; 7.4 BASIC PLANAR CONCEPTS; 7.5 PLANETARY MOTION AND DISCRETE GRAVITATION.
7.6 NEWTON'S METHOD OF ITERATION7.7 AN ORBIT EXAMPLE; 7.8 GRAVITY REVISITED; 7.9 ATTRACTION AND REPULSION; 7.10 REMARKS; 7.11 EXERCISES -- CHAPTER 7; Chapter 8. The Three-Body Problem; 8.1 INTRODUCTION; 8.2 THE EQUATIONS OF MOTION; 8.3 CONSERVATION OF ENERGY; 8.4 SOLUTION OF THE DISCRETE THREE-BODY PROBLEM; 8.5 THE OSCILLATORY NATURE OF PLANETARY PERIHELION MOTION; 8.6 CENTER OF GRAVITY; 8.7 CONSERVATION OF LINEAR MOMENTUM; 8.8 CONSERVATION OF ANGULAR MOMENTUM; 8.9 EXERCISES -- CHAPTER 8; Chapter 9. The n-Body Problem; 9.1 INTRODUCTION; 9.2 DISCRETE n-BODY INTERACTION.
9.3 THE SOLID STATE BUILDING BLOCK9.4 FLOW OF HEAT IN A BAR; 9.5 OSCILLATION OF AN ELASTIC BAR; 9.6 EXERCISES -- CHAPTER 9; Chapter 10. Discrete Fluid Models; 10.1 INTRODUCTION; 10.2 LAMINAR AND TURBULENT FLOWS; 10.3 SHOCK WAVES; 10.4 EXERCISES -- CHAPTER 10; Chapter 11. Spinning Tops and Skaters; 11.1 INTRODUCTION; 11.2 THE SPINNING TOP; 11.3 ANGULAR VELOCITY; 11.4 THE SPINNING SKATER; 11.5 EXERCISES -- CHAPTER 11; Chapter 12. The Galilean Principle of Relativity; 12.1 INTRODUCTION; 12.2 THE GALILEAN PRINCIPLE; 12.3 REMARKS; 12.4 EXERCISES -- CHAPTER 12; APPENDIX A; APPENDIX B; APPENDIX C.
APPENDIX DAPPENDIX E; Answers to Selected Exercises; References and Sources for Further Reading; Index.
Abstract:
Computer-Oriented Mathematical Physics describes some mathematical models of classical physical phenomena, particularly the mechanics of particles. This book is composed of 12 chapters, and begins with an introduction to the link between mathematics and physics. The subsequent chapters deal with the concept of gravity, the theoretical foundations f classical physics as a mathematical science, and the principles of pendulum and other oscillators. These topics are followed by discussions of waves, vectors, gravitation, the body-problem, and discrete fluid models. The final chapters examine the.
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Electronic Access:
ScienceDirect https://www.sciencedirect.com/science/book/9780080264714Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QC125.2 | 1182870-1001 | Elsevier E-Book Collections | Searching... |
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