Mathematics, Symbols and Physical Constants International System of Units(SI) Definitions of SI Base Units Names and Symbols for the SI Base Units SI Derived Units with Special Names and Symbols. Units in Use Together with the SI Conversion Constants and Multipliers Recommended Decimal Multiples and Submultiples.Conversion Factors-Metric to English Conversion Factors-English to Metric .Conversion Factors--General. Temperature Factors Conversion of Temperatures Physical Constants Genera·π Constants· Constants Involving e: Numerical Constants ols and Terminology for Physical and Chemical Quantities Classical Mechanics. Electricity and Magnetism. Electromagnetic Radiation. Solid State Credits Ronald tallarida Temple university T HE GREAT ACHIEVEMENTS in engineering deeply affect the lives of all of us and also serve to remind us of the importance of mathematics. Interest in mathematics has grown steadily with these engineering achievements and with concomitant advances in pure physical science. Whereas scholars in nonscien tific fields, and even in such fields as botany, medicine, geology, etc, can communicate most of the problems and results in nonmathematical language, this is virtually impossible in present-day engineering and physics Yet it is interesting to note that until the beginning of the twentieth century engineers regarded calculus as omething of a mystery. Modern students of engineering now study calculus, as well as differential equations, omplex variables, vector analysis, orthogonal functions, and a variety of other topics in applied analysis. The study of systems has ushered in matrix algebra and, indeed, most engineering students now take linear algebra as a core topic early in their mathematical education This section contains concise summaries of relevant topics in applied engineering mathematics and certain key formulas, that is, those formulas that are most often needed in the formulation and solution of engineering problems. Whereas even inexpensive electronic calculators contain tabular material(e.g, tables of trigonometric and logarithmic functions) that used to be needed in this kind of handbook, most calculators do not give symbolic results. Hence, we have included formulas along with brief summaries that guide their use. In many cases we have added numerical examples, as in the discussions of matrices, their inverses, and their use in the solutions of linear systems. a table of derivatives is included, as well as key applications of the derivative in the solution of problems in maxima and minima, related rates, analysis of curvature, and finding approximate c 2000 by CRC Press LLC© 2000 by CRC Press LLC XII Mathematics, Symbols, and Physical Constants Greek Alphabet International System of Units (SI) Definitions of SI Base Units • Names and Symbols for the SI Base Units • SI Derived Units with Special Names and Symbols • Units in Use Together with the SI Conversion Constants and Multipliers Recommended Decimal Multiples and Submultiples • Conversion Factors—Metric to English • Conversion Factors—English to Metric • Conversion Factors—General • Temperature Factors • Conversion of Temperatures Physical Constants General • p Constants • Constants Involving e • Numerical Constants Symbols and Terminology for Physical and Chemical Quantities Classical Mechanics • Electricity and Magnetism • Electromagnetic Radiation • Solid State Credits Ronald J. Tallarida Temple University HE GREAT ACHIEVEMENTS in engineering deeply affect the lives of all of us and also serve to remind us of the importance of mathematics. Interest in mathematics has grown steadily with these engineering achievements and with concomitant advances in pure physical science. Whereas scholars in nonscien￾tific fields, and even in such fields as botany, medicine, geology, etc., can communicate most of the problems and results in nonmathematical language, this is virtually impossible in present-day engineering and physics. Yet it is interesting to note that until the beginning of the twentieth century engineers regarded calculus as something of a mystery. Modern students of engineering now study calculus, as well as differential equations, complex variables, vector analysis, orthogonal functions, and a variety of other topics in applied analysis. The study of systems has ushered in matrix algebra and, indeed, most engineering students now take linear algebra as a core topic early in their mathematical education. This section contains concise summaries of relevant topics in applied engineering mathematics and certain key formulas, that is, those formulas that are most often needed in the formulation and solution of engineering problems.Whereas even inexpensive electronic calculators contain tabular material (e.g., tables of trigonometric and logarithmic functions) that used to be needed in this kind of handbook, most calculators do not give symbolic results. Hence, we have included formulas along with brief summaries that guide their use. In many cases we have added numerical examples, as in the discussions of matrices, their inverses, and their use in the solutions of linear systems. A table of derivatives is included, as well as key applications of the derivative in the solution of problems in maxima and minima, related rates, analysis of curvature, and finding approximate T