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The Theory of Measurements /
This book introduces some of the applications of the exact sciences and their relation to the ""practical"" sciences and useful arts for math students and emphasizes general considerations of measurement, theory of errors, general methods of procedure, quantitative accuracy, adju...
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Toronto :
University of Toronto Press,
[1946]
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; CHAPTER I INTRODUCTORY; Object; Purpose; Continuity; Results; Forethought; Mental Attitude; Notes; Material Equipment; Mental Equipment; Variation; Physical Arithmetic; Abridged Division; Abridged Multiplication; Gradient; Exercises I; CHAPTER II WEIGHTS AND MEASURES; C.G.S. System; Units of Length; Units of Area and Volume; Units of Mass and Density; Unit of Time; Practice in Usingthe C.G.S. System; Rule for Rounding Off a Half; The Hand as a Measure; Measurement of Area; Measurement of Volume; Measurement of Mass; Measurement of Density; Exercises II
- Rule for the Relative Difference of Two MeasurementsAccuracy of a Calculated Result; Accuracy of the Abridged Methods; Standard Form; Exercises IV; CHAPTER V LOGARITHMS; Definitions; Fundamental Properties; Common Logarithms; Use of Tables; Natural Logarithms; The Probability Function; Exercises V; CHAPTER VI SMALL MAGNITUDES; Negligible Magnitudes; Formula for Powers; Properties of Deltas; Transformation of Operands; Recapitulation; Rate of Increase; Exercises VI; CHAPTER VII THE SLIDE RULE; Addition with Two Scales; Multiplication with Logarithmic Scales; The Slide Rule
- Reading a Logarithmic ScaleMultiplication; Division; Ratio and Proportion; Equivalent Measures; Reciprocals; C and D Scales; Squares and Square Roots; Compound Operations; Determination of Circular Functions; Determination of Logarithms and Antilogarithms; Cube and Higher Roots; Other Exercises; Exercises VII; CHAPTER VIII GRAPHIC REPRESENTATION; A. Graphic Diagrams:; Indication of a Point by Two Numbers; Representation of Two Variables by a Line; Graphic Diagrams; Practice in Plotting Points; Choice of Scales; General Principles of Plotting; Representation of Tabular Values
- Smoothing of a Graphic CurveB. Curves and Equations:; Graphic Representation of a Natural Law; Graph of an Equation; General Procedure; The Straight Line; The Parabola; The Hyperbola; The Exponential Curve; The Logarithmic Curve; The Probability Curve; Equation of a Graph; Change of Scales; Definitions of Circular Functions; Rate of Increase and Rate of Growth; Space-time Curves; Exercises VIII; CHAPTER IX GRAPHIC ANALYSIS; Interpretation of Equations; The Graph of y= a + bx; The Straight Line Law; The "Black Thread" Method; Intercept Form of a Linear Equation; The Graph of y = a + bx + cx2