Arithmetic Applied Mathematics
eBook - PDF

Arithmetic Applied Mathematics

  1. 174 pages
  2. English
  3. PDF
  4. 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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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 & Mechanics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
Print ISBN
9780080250472
eBook ISBN
9781483279855
Topic
Physical Sciences
Subtopic
Mechanics

Table of contents

  1. Front Cover
  2. Arithmetic Applied Mathematics
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Chapter 1. Gravity
  7. Chapter 2. Long and Short Range Forces: Gravitation and Molecular Attraction and Repulsion
  8. Chapter 3. The N-body Problem
  9. Chapter 4. Conservative Models
  10. Chapter 5. Nonconservative Models
  11. Chapter 6. Foundational Concepts of Special Relativity
  12. Chapter 7. Arithmetic Special Relativistic Mechanics in One Space Dimension
  13. Chapter 8. Arithmetic Special Relativistic Mechanics in Three Space Dimensions
  14. Chapter 9. Lorentz Invariant Computations
  15. Appendix 1: Fortran Program for General N-body Interaction
  16. Appendix 2: Fortran Program for Planetary-type Evolution
  17. References and Sources for Further Reading
  18. Index