Applied dimensional analysis and modeling Chapter 1: Mathematical Preliminaries by P̀l R̤zsa 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 Applied Dimensional Analysis and Modeling provides the full mathematical background and step by step procedures for employing dimensional analyses along with a wide range of applications to problems in engineering and applied science such as fluid dynamics heat flow electromagnetics astronomy and economics. This new edition offers additional worked out examples in mechanics physics geometry hydrodynamics and biometry. * Covers 4 essential aspects and applications: principal characteristics of dimensional systems applications of dimensional techniques in engineering mathematics and geometry applications in biosciences biometry and economics applications in astronomy and physics * Offers more than 250 worked out examples and problems with solutions * Provides detailed descriptions of techniques of both dimensional analysis and dimensional modeling