- 174 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Arithmetic Applied Mathematics
About this book
Arithmetic Applied Mathematics deals with concepts of arithmetic applied mathematics and uses a computer, rather than a continuum, approach to the deterministic theories of particle mechanics. Models of classical physical phenomena are formulated from both Newtonian and special relativistic mechanics using only arithmetic. Definitions of energy and momentum are presented that are identical to those of continuum mechanics. Comprised of nine chapters, this book begins by exploring discrete modeling as it relates to Newtonian mechanics and special relativistic mechanics, paying particular attention to gravity. The reader is then introduced to long-range forces such as gravitation and short-range forces such as molecular attraction and repulsion; the N-body problem; and conservative and non-conservative models of complex physical phenomena. Subsequent chapters focus on the foundational concepts of special relativity; arithmetic special relativistic mechanics in one space dimension and three space dimensions; and Lorentz invariant computations. This monograph will be of interest to students and practitioners in the fields of mathematics and physics.
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Table of contents
- Front Cover
- Arithmetic Applied Mathematics
- Copyright Page
- Table of Contents
- Preface
- Chapter 1. Gravity
- Chapter 2. Long and Short Range Forces: Gravitation and Molecular Attraction and Repulsion
- Chapter 3. The N-body Problem
- Chapter 4. Conservative Models
- Chapter 5. Nonconservative Models
- Chapter 6. Foundational Concepts of Special Relativity
- Chapter 7. Arithmetic Special Relativistic Mechanics in One Space Dimension
- Chapter 8. Arithmetic Special Relativistic Mechanics in Three Space Dimensions
- Chapter 9. Lorentz Invariant Computations
- Appendix 1: Fortran Program for General N-body Interaction
- Appendix 2: Fortran Program for Planetary-type Evolution
- References and Sources for Further Reading
- Index
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Yes, you can access Arithmetic Applied Mathematics by Donald Greenspan, V. Lakshmikantham,C P Tsokos in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematics General. We have over one million books available in our catalogue for you to explore.