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 New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | SMALL | MEDIUM | LARGE Below is the OCR-scanned text from this page: 3 . Elementary Analytical Methods MILTON ABRAMOWITZ Contents Elementary Analytical Methods . . . . . . . . . . . . . . . . . 3.1. Binomial Theorem and Binomial Coefficients; Arithmetic and Geometric Progressions; Arithmetic. Geometric. Harmonic and Generalized Means . . . . . . . . . . . . . . . 3.2. Inequalities . . . . . . . . . . . . . . . . . . . . . . 3.3. Rules for Differentiation and Integration . . . . . . . . . 3.4. Limits. Maxima and Minima . . . . . . . . . . . . . . 3.5. Absolute and Relative Errors . . . . . . . . . . . . . . 3.6. Infinite Series . . . . . . . . . . . . . . . . . . . . . 3.7. Complex Numbers and Functions . . . . . . . . . . . . 3.8. Algebraic Equations . . . . . . . . . . . . . . . . . . 3.9. Successive Approximation Methods . . . . . . . . . . . 3.10. Theorems on Continued Fractions . . . . . . . . . . . . Page 10 10 10 11 13 14 14 16 17 18 19 Numerical Methods . . . . . . . . . . . . . . . . . . . . . . . 19 3.11. Use and Extension of the Tables . . . . . . . . . . . . 19 3.12. Computing Techniques . . . . . . . . . . . . . . . . . 19 Table 3.1. Powers and Roots . . . . . . . . . . . . . . . . . . 24 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 nk. k=1(1)10. 24. 1/2. 1/3. 1/4. 1/5 n=2(1)999. Exact or 10s The author acknowledges the assistance of Peter J . O’Hara and Kermit C . Nelson in the preparation and checking of the table of powers and roots . 1 National Bureau of Standards . (Deceased.) 9 The page scan image above, and the text in the text box above, are contributions of the National Institute of Standards and Technology that are not subject to copyright in the United States.