crc standard mathematical tables and formulae

[...]... CRC Press to publish, in handbook form, the most up-to-date, authoritative, logically arranged, and readily usable reference material available Just as pocket calculators obviated the need for tables of square roots and trigonometric functions; the internet has made many other tables and formulas unnecessary Prior to the preparation of this 32nd Edition of the CRC Standard Mathematical Tables and Formulae, ... tables, estimators, process capability, runs test, and sample sizes has been added to the statistics chapter • New material on cellular automata, knot theory, music, quaternions, and rational trigonometry has been added • In many places, tables have been updated and streamlined For example, the prime number table now only goes to 8,000 Also, many of the tables in the section on financial computations have... with the established policy of CRC Press, the Handbook will be updated in as current and timely a manner as is possible Suggestions for the inclusion of new material in subsequent editions and comments regarding the present edition are welcomed The home page for this book, which will include errata, will be maintained at http://smtf.mathtable.com This new edition of the Handbook will continue to support... 2 = n 2 4 “smtf32” — 2011/5/20 — 2:09 — page 4 — #14 4 CHAPTER 1 NUMBERS AND ELEMENTARY MATHEMATICS Geometric Series Geometric Series r2 r2 r 1–r r 1 1 1 2 1 + r + r + = 1 1 1–r 1 3 1 1 1 2 + + + = 4 4 3 4 —Benjamin G Klein and Irl C Bivens —Rick Mabry Addition Formulae for the Sine and Cosine The Distance Between a Point and a Line y sinxsiny cosxsiny 2 y sin x (a,ma + c) 1+ m 1 y y |ma + c – b|... XI = 11, and DV = 505.) 2 A symbol following one of lesser value has the lesser value subtracted from the larger value An I is only allowed to precede a V or an X, an X is only allowed to precede an L or a C, and a C is only allowed to precede a D or an M (For example IV = 4, IX = 9, and XL = 40.) 3 When a symbol stands between two of greater value, its value is subtracted from the second and the result... practitioners of mathematics in the mathematical and scientific fields, as it has for over 80 years Even as the internet becomes more ubiquitous, it is this editor’s opinion that the new edition will continue to be a valued reference Updating this edition and making it a useful tool has been exciting It would not have been possible without the loving support of my family, Janet Taylor and Kent Taylor Zwillinger... examples illustrating those tables remained) Of course, the same successful format which has characterized earlier editions of the Handbook has been retained, while its presentation has been updated and made more consistent from page to page Material is presented in a multi-sectional format, with each section containing a valuable collection of fundamental reference material— tabular and expository xi “smtf32”... engineering, and the sciences As a result, numerous changes have been made in several sections, and several new areas were added These improvements include: • There is a new chapter entitled Mathematical Formulas from the Sciences.” It contains, in concise form, the most important formulas from a variety of fields (including: acoustics, astrophysics, ); a total of 26 topics • New material on contingency tables, ... about which many readers may be unaware and should know about (e.g., visual proofs, sequences); • information that is more complete or concise than that which can be found on the internet (e.g., table of conformal mappings); • information that cannot be found on the internet due to the difficulty of entering a query (e.g., integral tables) ; • illustrations of how mathematical information is interpreted... are: Factor Prefix Symbol 210 220 230 240 250 260 kibi mebi gibi tebi pebi exbi Ki Mi Gi Ti Pi Ei “smtf32” — 2011/5/20 — 2:09 — page 6 — #16 6 CHAPTER 1 NUMBERS AND ELEMENTARY MATHEMATICS 1.2.2 DECIMAL MULTIPLES AND PREFIXES The prefix names and symbols below are taken from Conference G´ n´ rale des Poids e e et Mesures, 1991 The common names are for the United States Factor 100 10(10 10100 1024 1021 . need for tables of square roots and trigonometric functions; the internet has made many other tables and formulas un- necessary. Prior to the preparation of this 32 nd Edition of the CRC Standard. registered trademarks, and are used only for identification and explanation without intent to infringe. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web. material— tabular and expository. xi Openmirrors.com “smtf32” — 2011/5/20 — 2:09 — page xii — #8 xii In line with the established policy of CRC Press, the Handbook will be updated in as current and timely