Applied Dimensional Analysis and Modeling

Chapter 1: Mathematical Preliminaries by P l R zsa
1.1 Mat rices and Determinants
1.2 Operations with Matrices 1.3 The Rank of a Matrix
1.4 Systems of Linear Equa tions
1.4.1 Homogeneous Case
1.4.2 Nonhomoge neous Case
1.5 List of Selected Publications Dealing with Linear Algebra and Matrices

Chapter 2: Forma ts and Classification 2.1 Formats for Physical Relations 2.1.1 Numeric Format
2.1.2 Symbolic Format
2.1.3 Mixed Format
2.2 Classification of Physic al Quantities
2.2.1 Variability
2.2.2 Dimens ionality

Chapter 3: Dimensional Systems
3.1 General Statements
3.1.1 Monodimensional Sys tem
3.1.2 Omnidimensional System
3.1.3 Multi dimensional System
3.2 Classification
3.3 Th e SI
3.3.1 Preliminary Remarks
3.3.2 Structu re
(a) Fundamental Dimensions
(b) Derived Di