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Klappentext This new edition will offer improved sample problems and even more simplified approaches to the key mathematical steps involved. Due to this simplified method in Dimensional Analysis! this text is unique among the rest for it recognizes Dimensional Analysis as a valuable yet often-overlooked mathematical tool that engineers and scientists can use to greatly simplify complex multi-variable equations to quickly arrive at preliminary design considerations. Zusammenfassung Provides the mathematical background and step-by-step procedures for employing dimensional analyses. This work covers 4 essential aspects and applications which include: principal characteristics of dimensional systems; applications of dimensional techniques in engineering! mathematics and geometry; and applications in astronomy and physics. Inhaltsverzeichnis Chapter 1: Mathematical Preliminaries by Pal Rozsa Chapter 2: Formats and Classification Chapter 3: Dimensional Systems Chapter 4: Transformation of Dimensions Chapter 5: Arithmetic of Dimensions Chapter 6: Dimensional Homogeneity Chapter 7: Structure of Physical Relations Chapter 8: Systematic Determination of Complete Set of Products of Variables Chapter 9: Transformations Chapter 10: Number of Sets of Dimensionless Products of Variables Chapter 11: Relevancy of Variables Chapter 12: Economy of Graphical Presentation Chapter 13: Forms of Dimensionless Relations Chapter 14: Sequence of Variables in the Dimensional Set Chapter 15: Alternate Dimensions Chapter 16: Methods of Reducing the Number of Dimensionless Variables Chapter 17: Dimensional Modeling Chapter 18: Forty-three Additional Applications References Appendices
List of contents
1. Mathematical Preliminaries by Pál Rózsa
2. Formats and Classification
3. Dimensional Systems
4. Transformation of Dimensions
5. Arithmetic of Dimensions
6. Dimensional Homogeneity
7. Structure of Physical Relations
8. Systematic Determination of Complete Set of Products of Variables
9. Transformations
10. Number of Sets of Dimensionless Products of Variables
11. Relevancy of Variables
12. Economy of Graphical Presentation
13. Forms of Dimensionless Relations
14. Sequence of Variables in the Dimensional Set
15. Alternate Dimensions
16. Methods of Reducing the Number of Dimensionless Variables
17. Dimensional Modeling
18. Forty-three Additional Applications
